Optical model analysis for the elastic scattering of 11B + 58Ni system

Optical model analysis for the elastic scattering of 11B + 58Ni system | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF conference-proceeding Optical model analysis for the elastic scattering of 11 B + 58 Ni system Pankaj P. Shah, Monik Maisuriya, Rambabu Mourya, P.K. Rath, D. Patel, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9065373/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Optical model (OM) analysis of the elastic data has been carried out for the tightly bound 11B on the 58Ni target at energies close to the Coulomb bar- rier. Reaction cross-sections were extracted from the OM fits using the famous phenomenological Woods-Saxon potential (WSP). The comparison is made to check the model independency of the interacting potentials alongside the famous double-folding Sa˜o Paulo potential (SPP) and was found both models are independent, fitting the elastic data very well. Nuclear reactions Optical Model analysis tightly bound nuclei Woods-Saxon form of potential Figures Figure 1 Figure 2 Figure 3 1 Introduction For the last two decades, the dynamics of reactions triggered by weakly bound projectiles have been extensively studied [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. This sustained interest stems from their vital role in clarifying nucleosynthesis pathways and investigating the properties of nuclei residing near the drip lines. A defining characteristic of these systems is their minimal binding energy; consequently, the breakup channel frequently acts as a dominant mechanism that significantly influences alternative reaction outcomes. There are variety of ways to study breakup reactions experimentally. For instance, detecting the breakup fragments through inclusive or exclusive experiments which directly helps to extract cross sections as a function of the bombarding energy and its behavior in the Coulomb barrier energy regime. But these exclusive measurements are sensitive as requires special requirements for the coincidence setups [ 13 , 14 , 15 , 16 , 17 , 18 ]. Therefore, the reliable approach adopted to study these breakup effects is the systematic analysis of the behavior of the optical potentials used to describe elastic scattering. Optical potential is a potential used to describe the interaction between a nucleon, or a group of nucleons, and a target nucleus. It is a fundamental tool that has been used for many decades to analyze nuclear reactions, enabling the calculation of elastic scattering cross-sections over a wide range of ions, beam energies, and scattering angles [ 19 , 20 ]. By examining how elastic scattering is distributed across various angles, researchers can derive the necessary optical potentials. Within the context of the distorted wave Born approximation, these potentials are indispensable for accurately calculating the cross-sections of transfer reactions. Both the dynamic responses in nuclear collisions and the static characteristics of the participating nuclei can be effectively analyzed through elastic scattering at low incident energies [ 3 , 21 ]. Such experimental approaches remain indispensable for a comprehensive understanding of nuclear behavior. Because of their low binding energies, weakly bound light nuclei frequently undergo breakup at low incident energies, involving the use of coupled-channel analysis. For more stable, tightly bound light nuclei, the investigation shifts toward the impact of ground-state deformations and reorientation effects on the elastic channel [ 22 , 23 , 24 ]. Previous investigations into the 10,11 B + 58 Ni systems [ 25 , 26 ] utilized comprehensive coupled-channel calculations to weigh the importance of diverse reaction pathways. By omitting the imaginary potential in these works [ 25 , 26 ] at the interaction surface, these studies provided a detailed look at the underlying reaction mechanisms for these tightly bound projectiles. In the present work, we perform OM analysis for the elastic scattering of previous 11 B + 58 Ni system [ 25 ], for which the analysis were already performed [ 27 ] by using the double-folding SPP [ 28 , 29 ] and here the analysis are presented using the famous phenomenological Woods-Saxon form interaction potential. The purpose is thus to check the consistency of the derived results using these two different kinds of potential, which ideally should be model independent. 2 Optical model (OM) analysis of elastic scattering In this section the analysis of the elastic scattering angular distribution data is presented. The analysis are performed with a phenomenological Woods-Saxon form interaction potential. The phenomenological Woods-Saxon potential (WSP) has been used to fit the elastic-scattering angular distribution data by using the S-FRESCO code [30]. The OM potential used to extract the elastic scattering differential cross-sections is given by the following equation: U ( r ) = V coul ( r ) − V r f ( r, R r , a r ) + iW i f ( r, R i , a i ) , (1) where V coul is the Coulomb potential of a uniformly charged sphere of radius R c = 1.25( A p 1 / 3 + A t 1 / 3 ) fm, A p and A t being the mass numbers of the projectile and target, respectively; f represents the Woods-Saxon form function which is given by f ( r, R, a )= [1 + exp ( r −R/a )] − 1 , where R is the radius and a is the diffuseness; r i is the reduced radius, defined as R = r i ( A p 1 / 3 + A t 1 / 3 ). Consequently, the third term in eq. 1 represents the volume imaginary potential of the optical potential U and W i represent its depth. The second term in eq. 1 is the real part of the potential U , where V r represent its depth. In this approach, the imaginary component of the optical potential is not split into volume and surface parts; thus, all absorption due to inelastic scattering, transfer channels, breakup, and fusion processes is described by the volume imaginary potential of U . This phenomenological framework contains six parameters, i.e., V r and W i , namely, the two depths, R r and R i , namely, the two radii, a r and a i , namely, the two diffusenesses. Although these quantities can be taken as free parameters for fitting the experimental differential cross-sections with theoretical calculations, varying too many parameters may occasionally result in unrealistic values. Therefore, some parameters are usually kept fixed during the fitting procedure. In the fitting process, only the depths of the real and imaginary potentials were varied, whereas the real and imaginary reduced radii were fixed at 1.06 fm and 0.77 fm, respectively. After the first fit was obtained, once again the radii was kept fixed and the diffusivity of the potentials were varied from 0.67 to 0.75 fm in steps of 0.02 fm, thus the depths of the real and imaginary potentials were fitted. In this type of analysis, it is often observed that equally good fits to the angular distributions can be achieved with several families of optical potential parameters, all of which reproduce the experimental data satisfactorily. To clear these ambiguities, evaluation is done on the grounds of potential behavior at the sensitivity radii R Sr and R Si [31], corresponding to the real and imaginary potential, defined as the value of the radii for which different potentials with similar good fits have the same value. The derived mean sensitivity radii were R Sr = 9.05 and R Si = 10.72 fm, for real and imaginary potential, respectively. Figure 1 shows, for the energy E lab = 25 MeV, families of potentials that give similar fits, and the crossing points corresponding to the sensitivity radii for the real and imaginary parts. Finally, the energy dependence of the interacting potentials were determined with an average sensitive radius R S = 9.88 fm, that is, the average between R Sr and R Si , along with the mean diffuseness a = 0.71 fm for all the set of energies. Figure 2 shows the experimental elastic scattering angular distributions and the best fit obtained, with the parameters shown in table 1. In fig. 3, again the experimental elastic scattering angular distributions for spe- cific energy E lab = 25 MeV is showcased. To have the model independency check, the experimental fitting with respect to both potentials, namely WSP and SPP, is done. The results clearly shows, the curves resulting from the best fits using the SPP hardly can be distinguished from those of the WSP, proving that both the models are inde- pendent and reliable to use further to obtain total reaction cross section and extend the study to check the energy dependence of the interacting potentials. In table 2 the parameters used with SPP calculations are shown from our previous work [27]. The same is displayed again to have the view and comparison with the WSP parameters obtained in the present work in table 1. Table 1 Parameters used with the WSP calculations for the 11 B + 58 Ni system and the derived total reaction cross sections. E lab (MeV) a r and a i (fm) V r (MeV) V i (MeV) χ 2 /n σ R (mb) 19.0 0.71 55.10 33.90 0.41 4.62 20.0 0.71 83.09 18.37 0.57 5.66 21.0 0.71 72.64 15.96 0.94 10.33 23.0 0.71 77.99 9.680 1.91 36.88 24.0 0.71 69.59 10.53 1.54 77.68 25.0 0.71 69.81 15.14 0.69 165.3 35.0 0.71 57.04 36.47 38.7 940.9 Table 2 Parameters used with the S˜ao Paulo potential calculations for the 11 B + 89 Y system and the derived total reaction cross sections [27]. E lab (MeV) N R N I χ 2 /n σ R (mb) 19.0 0.100 0.676 0.394 5.15 20.0 0.849 0.320 0.575 6.24 21.0 0.772 0.247 0.955 10.95 23.0 0.892 0.134 1.897 37.38 24.0 0.808 0.142 1.531 78.17 25.0 0.810 0.200 0.696 166.3 35.0 0.693 0.440 37.142 940.1 3 Summary and Conclusions We have performed the OM analysis for the elastic scattering angular distribution for 11 B+ 58 Ni system at energies in the vicinity of the Coulomb barrier. The analysis were performed with a phenomenological Woods-Saxon form interaction potential to fit the elastic-scattering angular distribution data. The same analysis were performed using the SPP calculations in our previous work. Therefore, the model independence was tested, and the results were found to be quite promising, as the elastic scattering data were very well reproduced using both kinds of potentials. In future the efforts can be put forward to check the energy dependency and observe the presence of breakup effects, which is quite difficult in the present case as the projectile 11 B posses tightly bound structure. Declarations Author Contribution N.D. conceptualize the idea, designed the work and wrote the main manuscript text. P.P.S., M.M. and R.M. did the analysis, interpreted the data for the work and prepared all the figures and tables. P.K.R. and D.P. reviewed the worked critically for important intellectual content. Acknowledgements. ND acknowledge the financial supports from SERB (now ANRF) through a Core Research Grant (CRG) project number CRG/2022/002007 and UGC-DAE CSR through a Collaborative Research Scheme (CRS) project num- ber CRS/2021-22/02/471. P.K.R acknowledges financial support from SERB-Core Research Grant (CRG) project number SERB/CRG/2021/005100. References L.F. Canto et al. “Fusion and breakup of weakly bound nuclei”. In: Phys. Rep. p. 1. doi: 10.1016/j.physrep.2005.10.006. J.F. Liang and C. Signorini. “Fusion induced by radioactive ion beams”. In: Int. J. Mod. Phys. E 14 (2005), p. 1121. doi: 10.1142/S021830130500382X. L.F. Canto et al. “Recent developments in fusion and direct reactions with weakly bound nuclei”. In: Phys. Rep. 596 (2015), p. 1. doi: 10.1016/j.physrep.2015.08.001. N. Keeley et al. “Fusion and direct reactions of halo nuclei at energies around the Coulomb barrier”. In: Prog. Part Nucl. Phys. 59 (2007), p. 579. doi: 10.1016/j.ppnp.2007.02.002. N. 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A 45 (1963), p. 197. doi: 10.1016/0029-5582(63)90794-6. G. R. Satchler and C. B. Fulmer. “Target-spin effects on elastic scattering cross sections”. In: Phys. Lett. B 50 (1974), p. 309. doi: 10.1016/0370-2693(74)90676-5. K. Rusek et al. “Spin-orbit potentials for elastic scattering of polarized 6 Li ions from 12 C and 58 Ni”. In: Nucl. Phys. A 407 (1983), p. 208. doi: 10.1016/0375-9474(83)90315-9. N. N. Deshmukh et al. “Elastic and inelastic scattering for the 11 B + 58 Ni sys- tem: Target and projectile reorientation effects”. In: Phys. Rev. C 92 (2015), p. 054615. doi: 10.1103/PhysRevC.92.054615. V. Scarduelli et al. “Elastic and inelastic scattering for the 10 B + 58 Ni system at near-barrier energies”. In: Phys. Rev. C 96 (2017), p. 054610. doi: 10.1103/PhysRevC.96.054610. N. Deshmukh and J. Lubian. “Total reaction cross section for the 11 B + 58 Ni system and application of a recent new reduction methodology”. In: Eur. Phys. J. 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Rath","email":"","orcid":"","institution":"Centurion University of Technology and Management","correspondingAuthor":false,"prefix":"","firstName":"P.K.","middleName":"","lastName":"Rath","suffix":""},{"id":623485133,"identity":"389b7c31-1a34-4de6-8c5f-043f9939ec95","order_by":4,"name":"D. Patel","email":"","orcid":"","institution":"Sardar Vallabhbhai National Institute of Technology Surat","correspondingAuthor":false,"prefix":"","firstName":"D.","middleName":"","lastName":"Patel","suffix":""},{"id":623485134,"identity":"bc1e3524-b58a-4f88-ac7b-e19ff4b3ef69","order_by":5,"name":"N. Deshmukh","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAElEQVRIie3PMWvCQBTA8XM/dBYx+QTCk4OMfozOFwSzRHHseB+gkDWSQr9CROjqHYdOF7teiYMunRzi7tBchnZJTLsVev8tj/fj5RCy2f5iHCHBAHUYwuaLO9Xw1E7gi5BqSFtIuf5NfGam90g3z4SIl7dh1Mt2G6yOwcuDPJdXJs6I1ZP+YUFFCkBW8WKWY/0xX+czKMmUeLyegMIgTgB+qrGX40LO1wk1hPuvbWT7pioSjJOgaCepuYLCkmhJ3UF4/0rfkBgIiXXovT8rOU4H4ZJTaH5LV2Fyfbo5wyhSnr7spesmwaYoHidOE6n51WoTfrpuctlvtm02m+0/9Ak6ZnPSee747wAAAABJRU5ErkJggg==","orcid":"","institution":"P P Savani University","correspondingAuthor":true,"prefix":"","firstName":"N.","middleName":"","lastName":"Deshmukh","suffix":""}],"badges":[],"createdAt":"2026-03-08 15:54:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9065373/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9065373/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":108523775,"identity":"2293408d-28ee-486a-a12b-6b34f938960c","added_by":"auto","created_at":"2026-05-05 14:42:39","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":58786,"visible":true,"origin":"","legend":"\u003cp\u003eDifferent families of potential parameters that produce similar fits of the data, at E\u003csub\u003e\u003cem\u003elab\u003c/em\u003e\u003c/sub\u003e\u003cem\u003e \u003c/em\u003e= 25 MeV. The imaginary and real sensitivity radii are the values where they intersect each other, respectively, in (a) and (b).\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-9065373/v1/be5c5089b2ff18d3cb43548c.png"},{"id":108523753,"identity":"20f04036-1f02-40ad-a36a-72a17b3d9318","added_by":"auto","created_at":"2026-05-05 14:42:33","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":78731,"visible":true,"origin":"","legend":"\u003cp\u003eExperimental elastic-scattering cross-sections normalized to the Rutherford cross-sections for the \u003csup\u003e11\u003c/sup\u003eB+\u003csup\u003e58\u003c/sup\u003eNi system and their best fits from OM calculations. The curves corresponding to best fits were obtained using the WSP.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-9065373/v1/f48756dbc9ff65ac4f87e735.png"},{"id":108523856,"identity":"386296e0-2918-4c4a-a43f-58b3da7e616b","added_by":"auto","created_at":"2026-05-05 14:42:48","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":27930,"visible":true,"origin":"","legend":"\u003cp\u003e(Color online) Elastic scattering angular distribution for the \u003csup\u003e11\u003c/sup\u003eB+\u003csup\u003e58\u003c/sup\u003eNi system at \u003cem\u003eE\u003c/em\u003e\u003csub\u003e\u003cem\u003elab\u003c/em\u003e\u003c/sub\u003e\u003cem\u003e \u003c/em\u003e= 25 MeV. The black curves corresponding to best fits were obtained using the WSP and the dashed red curves corresponds using SPP with the best fits.\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-9065373/v1/c33bb7c71501181be276d12d.png"},{"id":108523970,"identity":"50b950f2-0c9c-4d7e-9c7f-77b67705aac2","added_by":"auto","created_at":"2026-05-05 14:43:00","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":423595,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9065373/v1/b3d880a8-586d-4351-a320-7c7dcc8a761d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eOptical model analysis for the elastic scattering of \u003csup\u003e11\u003c/sup\u003eB + \u003csup\u003e58\u003c/sup\u003eNi system\u003c/p\u003e","fulltext":[{"header":"1 Introduction","content":"\u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eFor the last two decades, the dynamics of reactions triggered by weakly bound projectiles have been extensively studied [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e, \u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e, \u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e, \u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e, \u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e, \u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e, \u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e, \u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e, \u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e, \u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e, \u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e]. This sustained interest stems from their vital role in clarifying nucleosynthesis pathways and investigating the properties of nuclei residing near the drip lines. A defining characteristic of these systems is their minimal binding energy; consequently, the breakup channel frequently acts as a dominant mechanism that significantly influences alternative reaction outcomes. There are variety of ways to study breakup reactions experimentally. For instance, detecting the breakup fragments through inclusive or exclusive experiments which directly helps to extract cross sections as a function of the bombarding energy and its behavior in the Coulomb barrier energy regime. But these exclusive measurements are sensitive as requires special requirements for the coincidence setups [\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e, \u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e, \u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e, \u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e, \u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e, \u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e]. Therefore, the reliable approach adopted to study these breakup effects is the systematic analysis of the behavior of the optical potentials used to describe elastic scattering. Optical potential is a potential used to describe the interaction between a nucleon, or a group of nucleons, and a target nucleus. It is a fundamental tool that has been used for many decades to analyze nuclear reactions, enabling the calculation of elastic scattering cross-sections over a wide range of ions, beam energies, and scattering angles [\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e, \u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e]. By examining how elastic scattering is distributed across various angles, researchers can derive the necessary optical potentials. Within the context of the distorted wave Born approximation, these potentials are indispensable for accurately calculating the cross-sections of transfer reactions. Both the dynamic responses in nuclear collisions and the static characteristics of the participating nuclei can be effectively analyzed through elastic scattering at low incident energies [\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e, \u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e]. Such experimental approaches remain indispensable for a comprehensive understanding of nuclear behavior. Because of their low binding energies, weakly bound light nuclei frequently undergo breakup at low incident energies, involving the use of coupled-channel analysis. For more stable, tightly bound light nuclei, the investigation shifts toward the impact of ground-state deformations and reorientation effects on the elastic channel [\u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e22\u003c/span\u003e, \u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e, \u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e]. Previous investigations into the \u003csup\u003e10,11\u003c/sup\u003eB + \u003csup\u003e58\u003c/sup\u003eNi systems [\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e, \u003cspan citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e] utilized comprehensive coupled-channel calculations to weigh the importance of diverse reaction pathways. By omitting the imaginary potential in these works [\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e, \u003cspan citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e] at the interaction surface, these studies provided a detailed look at the underlying reaction mechanisms for these tightly bound projectiles. In the present work, we perform OM analysis for the elastic scattering of previous \u003csup\u003e11\u003c/sup\u003eB + \u003csup\u003e58\u003c/sup\u003eNi system [\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e], for which the analysis were already performed [\u003cspan citationid=\"CR27\" class=\"CitationRef\"\u003e27\u003c/span\u003e] by using the double-folding SPP [\u003cspan citationid=\"CR28\" class=\"CitationRef\"\u003e28\u003c/span\u003e, \u003cspan citationid=\"CR29\" class=\"CitationRef\"\u003e29\u003c/span\u003e] and here the analysis are presented using the famous phenomenological Woods-Saxon form interaction potential. The purpose is thus to check the consistency of the derived results using these two different kinds of potential, which ideally should be model independent.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e"},{"header":"2 Optical model (OM) analysis of elastic scattering","content":"\u003cp\u003eIn this section the analysis of the elastic scattering angular distribution data is presented. The analysis are performed with a phenomenological Woods-Saxon form interaction potential. The phenomenological Woods-Saxon potential (WSP) has been used to fit the elastic-scattering angular distribution data by using the S-FRESCO code [30]. The OM potential used to extract the elastic scattering differential cross-sections is given by the following equation:\u003c/p\u003e\n\u003cp\u003e\u003cem\u003eU\u0026nbsp;\u003c/em\u003e(\u003cem\u003er\u003c/em\u003e) = \u003cem\u003eV\u003csub\u003ecoul\u003c/sub\u003e\u003c/em\u003e(\u003cem\u003er\u003c/em\u003e) \u003cem\u003e\u0026minus;\u0026nbsp;\u003c/em\u003e\u003cem\u003eV\u003csub\u003er\u003c/sub\u003ef\u0026nbsp;\u003c/em\u003e(\u003cem\u003er,\u0026nbsp;\u003c/em\u003e\u003cem\u003eR\u003csub\u003er\u003c/sub\u003e,\u0026nbsp;\u003c/em\u003e\u003cem\u003ea\u003csub\u003er\u003c/sub\u003e\u003c/em\u003e) + \u003cem\u003eiW\u003csub\u003ei\u003c/sub\u003ef\u0026nbsp;\u003c/em\u003e(\u003cem\u003er,\u0026nbsp;\u003c/em\u003e\u003cem\u003eR\u003csub\u003ei\u003c/sub\u003e,\u0026nbsp;\u003c/em\u003e\u003cem\u003ea\u003csub\u003ei\u003c/sub\u003e\u003c/em\u003e)\u003cem\u003e,\u003c/em\u003e(1)\u0026nbsp;\u003cbr\u003ewhere \u003cem\u003eV\u003csub\u003ecoul\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eis the Coulomb potential of a uniformly charged sphere of radius \u003cem\u003eR\u003csub\u003ec\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e=\u003c/p\u003e\n\u003cp\u003e1.25(\u003cem\u003eA\u003csub\u003ep\u003c/sub\u003e\u003c/em\u003e\u003csup\u003e1\u003cem\u003e/\u003c/em\u003e3\u003c/sup\u003e+\u003cem\u003eA\u003csub\u003et\u003c/sub\u003e\u003c/em\u003e\u003csup\u003e1\u003cem\u003e/\u003c/em\u003e3\u003c/sup\u003e) fm, \u003cem\u003eA\u003csub\u003ep\u003c/sub\u003e\u003c/em\u003eand \u003cem\u003eA\u003csub\u003et\u003c/sub\u003e\u0026nbsp;\u003c/em\u003ebeing the mass numbers of the projectile and target, respectively; f represents the Woods-Saxon form function which is given by \u003cem\u003ef\u0026nbsp;\u003c/em\u003e(\u003cem\u003er, R, a\u003c/em\u003e)= [1 +\u003cem\u003eexp\u003c/em\u003e(\u003cem\u003er\u003c/em\u003e\u003cem\u003e\u0026minus;R/a\u003c/em\u003e)]\u003cem\u003e\u003csup\u003e\u0026minus;\u003c/sup\u003e\u003c/em\u003e\u003csup\u003e1\u003c/sup\u003e, where R is the radius and \u003cem\u003ea\u0026nbsp;\u003c/em\u003eis the diffuseness; \u003cem\u003er\u003csub\u003ei\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eis the reduced radius, defined as \u003cem\u003eR\u0026nbsp;\u003c/em\u003e= \u003cem\u003er\u003csub\u003ei\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e(\u003cem\u003eA\u003csub\u003ep\u003c/sub\u003e\u003c/em\u003e\u003csup\u003e1\u003cem\u003e/\u003c/em\u003e3\u003c/sup\u003e+\u003cem\u003eA\u003csub\u003et\u003c/sub\u003e\u003c/em\u003e\u003csup\u003e1\u003cem\u003e/\u003c/em\u003e3\u003c/sup\u003e).\u0026nbsp;Consequently,\u0026nbsp;the\u0026nbsp;third\u0026nbsp;term\u0026nbsp;in\u0026nbsp;eq.\u003ca href=\"#_bookmark0\"\u003e1\u003c/a\u003e represents\u003c/p\u003e\n\u003cp\u003ethe volume imaginary potential of the optical potential \u003cem\u003eU\u0026nbsp;\u003c/em\u003eand \u003cem\u003eW\u003csub\u003ei\u003c/sub\u003e\u0026nbsp;\u003c/em\u003erepresent its depth. The second term in eq.\u003ca href=\"#_bookmark0\"\u003e1\u003c/a\u003e is the real part of the potential \u003cem\u003eU\u003c/em\u003e, where \u003cem\u003eV\u003csub\u003er\u003c/sub\u003e\u0026nbsp;\u003c/em\u003erepresent its depth.\u003c/p\u003e\n\u003cp\u003eIn this approach, the imaginary component of the optical potential is not split into volume and surface parts; thus, all absorption due to inelastic scattering, transfer channels, breakup, and fusion processes is described by the volume imaginary potential of \u003cem\u003eU\u0026nbsp;\u003c/em\u003e. This phenomenological framework contains six parameters, i.e., \u003cem\u003eV\u003csub\u003er\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eand \u003cem\u003eW\u003csub\u003ei\u003c/sub\u003e\u003c/em\u003e, namely, the two depths, \u003cem\u003eR\u003csub\u003er\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eand \u003cem\u003eR\u003csub\u003ei\u003c/sub\u003e\u003c/em\u003e, namely, the two radii, \u003cem\u003ea\u003csub\u003er\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eand \u003cem\u003ea\u003csub\u003ei\u003c/sub\u003e\u003c/em\u003e,\u0026nbsp;namely, the two diffusenesses. Although these quantities can be taken as free parameters for fitting the experimental differential cross-sections with theoretical calculations, varying too many parameters may occasionally result in unrealistic values. Therefore, some parameters are usually kept fixed during the fitting procedure.\u003c/p\u003e\n\u003cp\u003eIn the fitting process, only the depths of the real and imaginary potentials were varied, whereas the real and imaginary reduced radii were fixed at 1.06 fm and 0.77 fm, respectively. After the first fit was obtained, once again the radii was kept fixed and the diffusivity of the potentials were varied from 0.67 to 0.75 fm in steps of 0.02 fm, thus the depths of the real and imaginary potentials were fitted. In this type of analysis, it is often observed that equally good fits to the angular distributions can be achieved with several families of optical potential parameters, all of which reproduce the experimental data satisfactorily. To clear these ambiguities, evaluation is done on the grounds of potential behavior at the sensitivity radii\u0026nbsp;\u003cem\u003eR\u003csub\u003eSr\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eand\u0026nbsp;\u003cem\u003eR\u003csub\u003eSi\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e[31], corresponding to the real and imaginary potential, defined as the value of the radii for which different potentials with similar good fits have the same value. The derived mean sensitivity radii were \u003cem\u003eR\u003csub\u003eSr\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e= 9.05 and\u0026nbsp;\u003cem\u003eR\u003csub\u003eSi\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e= 10.72 fm, for real and imaginary potential, respectively. Figure 1 shows, for the energy E\u003cem\u003e\u003csub\u003elab\u003c/sub\u003e\u003c/em\u003e= 25 MeV, families of potentials that give similar fits, and the crossing points corresponding to the sensitivity radii for the real and imaginary parts. Finally, the energy dependence of the interacting potentials were determined with an average sensitive radius\u0026nbsp;\u003cem\u003eR\u003csub\u003eS\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e=\u0026nbsp;9.88 fm, that is, the average between\u0026nbsp;\u003cem\u003eR\u003csub\u003eSr\u003c/sub\u003e\u0026nbsp;\u003c/em\u003eand\u0026nbsp;\u003cem\u003eR\u003csub\u003eSi\u003c/sub\u003e\u003c/em\u003e,\u0026nbsp;along with the mean diffuseness \u003cem\u003ea\u0026nbsp;\u003c/em\u003e=\u0026nbsp;0.71 fm for all the set of energies. Figure\u0026nbsp;\u003ca href=\"#_bookmark2\"\u003e2\u003c/a\u003e shows the experimental elastic scattering angular distributions and the best fit obtained, with the parameters shown in table 1.\u003c/p\u003e\n\u003cp\u003eIn fig. 3, again the experimental elastic scattering angular distributions for spe- cific energy \u003cem\u003eE\u003csub\u003elab\u003c/sub\u003e\u0026nbsp;\u003c/em\u003e= 25 MeV is showcased. To have the model independency check, the experimental fitting with respect to both potentials, namely WSP and SPP, is done. The results clearly shows, the curves resulting from the best fits using the SPP hardly\u003c/p\u003e\n\u003cp\u003ecan be distinguished from those of the WSP, proving that both the models are inde- pendent and reliable to use further to obtain total reaction cross section and extend the study to check the energy dependence of the interacting potentials. In table \u003ca href=\"#_bookmark4\"\u003e2\u003c/a\u003e the parameters used with SPP calculations are shown from our previous work [27]. The same is displayed again to have the view and comparison with the WSP parameters obtained in the present work in table 1.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eTable 1\u0026nbsp;\u003c/strong\u003eParameters used with the WSP calculations for the \u003csup\u003e11\u003c/sup\u003eB + \u003csup\u003e58\u003c/sup\u003eNi system and the derived total reaction cross sections.\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e\u003cem\u003eE\u003c/em\u003e\u003cem\u003e\u003csub\u003elab\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(MeV)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e\u003cem\u003ea\u003c/em\u003e\u003cem\u003e\u003csub\u003er\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003eand \u003cem\u003ea\u003c/em\u003e\u003cem\u003e\u003csub\u003ei\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(fm)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e\u003cem\u003eV\u003c/em\u003e\u003cem\u003e\u003csub\u003er\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(MeV)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e\u003cem\u003eV\u003c/em\u003e\u003cem\u003e\u003csub\u003ei\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(MeV)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e\u003cem\u003e\u0026chi;\u003c/em\u003e\u003csup\u003e2\u003c/sup\u003e\u003cem\u003e/n\u003c/em\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e\u003cem\u003e\u0026sigma;\u003c/em\u003e\u003cem\u003e\u003csub\u003eR\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(mb)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e19.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e55.10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e33.90\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e0.41\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e4.62\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e20.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e83.09\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e18.37\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e0.57\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e5.66\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e21.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e72.64\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e15.96\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e0.94\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e10.33\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e23.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e77.99\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e9.680\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e1.91\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e36.88\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e24.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e69.59\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e10.53\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e1.54\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e77.68\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e25.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e69.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e15.14\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e0.69\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e165.3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e35.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 106px;\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 81px;\"\u003e\n \u003cp\u003e57.04\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 80px;\"\u003e\n \u003cp\u003e36.47\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 57px;\"\u003e\n \u003cp\u003e38.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 59px;\"\u003e\n \u003cp\u003e940.9\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u003cstrong\u003eTable 2\u0026nbsp;\u003c/strong\u003eParameters used with the S\u0026tilde;ao Paulo potential calculations for the \u003csup\u003e11\u003c/sup\u003eB + \u003csup\u003e89\u003c/sup\u003eY system and the derived total reaction cross sections [27].\u003c/p\u003e\n\u003ctable border=\"0\" cellspacing=\"0\" cellpadding=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e\u003cem\u003eE\u003c/em\u003e\u003cem\u003e\u003csub\u003elab\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(MeV)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e\u003cem\u003eN\u003c/em\u003e\u003cem\u003e\u003csub\u003eR\u003c/sub\u003e\u003c/em\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e\u003cem\u003eN\u003c/em\u003e\u003cem\u003e\u003csub\u003eI\u003c/sub\u003e\u003c/em\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e\u003cem\u003e\u0026chi;\u003c/em\u003e\u003csup\u003e2\u003c/sup\u003e\u003cem\u003e/n\u003c/em\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e\u003cem\u003e\u0026sigma;\u003c/em\u003e\u003cem\u003e\u003csub\u003eR\u003c/sub\u003e\u003c/em\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003e(mb)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e19.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.100\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.676\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e0.394\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e5.15\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e20.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.849\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.320\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e0.575\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e6.24\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e21.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.772\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.247\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e0.955\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e10.95\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e23.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.892\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.134\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e1.897\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e37.38\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e24.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.808\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.142\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e1.531\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e78.17\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e25.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.810\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.200\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e0.696\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e166.3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" style=\"width: 91px;\"\u003e\n \u003cp\u003e35.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.693\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 90px;\"\u003e\n \u003cp\u003e0.440\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 95px;\"\u003e\n \u003cp\u003e37.142\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" style=\"width: 75px;\"\u003e\n \u003cp\u003e940.1\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e"},{"header":"3 Summary and Conclusions","content":"\u003cp\u003e \u003cdiv class=\"BlockQuote\"\u003e \u003cp\u003eWe have performed the OM analysis for the elastic scattering angular distribution for \u003csup\u003e11\u003c/sup\u003eB+\u003csup\u003e58\u003c/sup\u003eNi system at energies in the vicinity of the Coulomb barrier. The analysis were performed with a phenomenological Woods-Saxon form interaction potential to fit the elastic-scattering angular distribution data. The same analysis were performed using the SPP calculations in our previous work. Therefore, the model independence was tested, and the results were found to be quite promising, as the elastic scattering data were very well reproduced using both kinds of potentials. In future the efforts can be put forward to check the energy dependency and observe the presence of breakup effects, which is quite difficult in the present case as the projectile \u003csup\u003e11\u003c/sup\u003eB posses tightly bound structure.\u003c/p\u003e \u003c/div\u003e \u003c/p\u003e"},{"header":"Declarations","content":"\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eN.D. conceptualize the idea, designed the work and wrote the main manuscript text. P.P.S., M.M. and R.M. did the analysis, interpreted the data for the work and prepared all the figures and tables. P.K.R. and D.P. reviewed the worked critically for important intellectual content.\u003c/p\u003e\u003ch2\u003eAcknowledgements.\u003c/h2\u003e \u003cp\u003eND acknowledge the financial supports from SERB (now ANRF) through a Core Research Grant (CRG) project number CRG/2022/002007 and UGC-DAE CSR through a Collaborative Research Scheme (CRS) project num- ber CRS/2021-22/02/471. P.K.R acknowledges financial support from SERB-Core Research Grant (CRG) project number SERB/CRG/2021/005100.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n \u003cli\u003eL.F. Canto et al. \u0026ldquo;Fusion and breakup of weakly bound nuclei\u0026rdquo;. In: \u003cem\u003ePhys. Rep.\u0026nbsp;\u003c/em\u003ep. 1. doi: 10.1016/j.physrep.2005.10.006.\u003c/li\u003e\n \u003cli\u003eJ.F. Liang and C. Signorini. \u0026ldquo;Fusion induced by radioactive ion beams\u0026rdquo;. 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Rep.\u0026nbsp;\u003c/em\u003e199 (1991), p. 147. doi: 10.1016/0370-1573(91)90066-U.\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Nuclear reactions, Optical Model analysis, tightly bound nuclei, Woods-Saxon form of potential","lastPublishedDoi":"10.21203/rs.3.rs-9065373/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9065373/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eOptical model (OM) analysis of the elastic data has been carried out for the tightly bound 11B on the 58Ni target at energies close to the Coulomb bar- rier. Reaction cross-sections were extracted from the OM fits using the famous phenomenological Woods-Saxon potential (WSP). The comparison is made to check the model independency of the interacting potentials alongside the famous double-folding Sa˜o Paulo potential (SPP) and was found both models are independent, fitting the elastic data very well.\u003c/p\u003e","manuscriptTitle":"Optical model analysis for the elastic scattering of 11B + 58Ni system","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-05-05 14:41:51","doi":"10.21203/rs.3.rs-9065373/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"9a25f6c2-17f1-46eb-9496-59f1f36f1cb6","owner":[],"postedDate":"May 5th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-05-17T14:38:15+00:00","versionOfRecord":[],"versionCreatedAt":"2026-05-05 14:41:51","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9065373","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9065373","identity":"rs-9065373","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}