Quarkonia spectrum and wave functions with different trial basis in the potential model approach

Quarkonia spectrum and wave functions with different trial basis in the potential model approach | 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 Research Article Quarkonia spectrum and wave functions with different trial basis in the potential model approach David Molina, Cristian Gutierrez Gomez This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5010852/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 A numerical analysis based on the variational approach, using three different bases within a non-relativistic formalism, is performed to calculate the spectrum and wave functions of hydrogen atom and charmonium systems. Specifically, the Harmonic Oscillator, Generalized Harmonic Oscillator, and Gaussian bases are considered for this analysis. For the charmonium system, a non-relativistic kinetic energy is employed and the quark-antiquark interaction is represented by the Cornell potential plus the hyperfine interaction. The advantages of each basis are compared, with a focus on the spectrum and wave functions of the ground state and some excited states. Bound-states Generalized trial bases Charmonium Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5010852","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":351713286,"identity":"d743b9e6-806d-4893-83f8-79af7f1a2341","order_by":0,"name":"David Molina","email":"","orcid":"","institution":"Escuela Superior de Administración Pública","correspondingAuthor":false,"prefix":"","firstName":"David","middleName":"","lastName":"Molina","suffix":""},{"id":351713287,"identity":"4ec6cd06-29a3-4688-a0d4-cffc25cf1e16","order_by":1,"name":"Cristian Gutierrez Gomez","email":"data:image/png;base64,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","orcid":"","institution":"Pedagogical and Technological University of Colombia","correspondingAuthor":true,"prefix":"","firstName":"Cristian","middleName":"Gutierrez","lastName":"Gomez","suffix":""}],"badges":[],"createdAt":"2024-09-01 01:38:25","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5010852/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5010852/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":66193590,"identity":"c988d850-36b6-4043-b8c5-1856712889d2","added_by":"auto","created_at":"2024-10-08 14:32:10","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1219657,"visible":true,"origin":"","legend":"","description":"","filename":"FBSarticle310824.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5010852/v1_covered_d3b801f6-d7ba-45fb-bca6-43de00fa35e7.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Quarkonia spectrum and wave functions with different trial basis in the potential model approach \n\n\n","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"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":"Bound-states, Generalized trial bases, Charmonium","lastPublishedDoi":"10.21203/rs.3.rs-5010852/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5010852/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"A numerical analysis based on the variational approach, using three different bases within a non-relativistic formalism, is performed to calculate the spectrum and wave functions of hydrogen atom and charmonium systems. 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