Meson Exchange Currents in the Clothed-particle Representation: Calculation of the Deuteron Magnetic Form Factors | 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 Meson Exchange Currents in the Clothed-particle Representation: Calculation of the Deuteron Magnetic Form Factors Yan Kostylenko, Oleksandr Shebeko This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4000813/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 13 May, 2024 Read the published version in Few-Body Systems → Version 1 posted 6 You are reading this latest preprint version Abstract We show an original way to build up a new family of electromagnetic meson exchange current operators via the method of unitary clothing transformations. Being introduced in such a way they do not depend on the choice of states with which we calculate the matrix elements. The new expressions for meson exchange currents have been compared with ones derived within the previous explorations. Special attention is paid to the deuteron eigenvalue problem and finding the proper deuteron states in a moving frame. An effective technique of ensuring the gauge independence based upon generalization of Siegert’s theorem is proposed. Magnetic form factor of the deuteron is calculated with both one-body and two-body mechanisms. The influence of relativistic effects in the one-body calculation have been considered. Besides, separate contributions from the different meson exchange mechanisms are discussed. deuteron unitary transformations clothed particles meson exchange currents magnetic form factor Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 13 May, 2024 Read the published version in Few-Body Systems → Version 1 posted Reviews received at journal 27 Mar, 2024 Reviewers agreed at journal 17 Mar, 2024 Reviewers invited by journal 05 Mar, 2024 Editor assigned by journal 02 Mar, 2024 Submission checks completed at journal 02 Mar, 2024 First submitted to journal 29 Feb, 2024 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-4000813","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":275982611,"identity":"ce160e64-58ff-48c7-b04d-0098d3a03d99","order_by":0,"name":"Yan Kostylenko","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAu0lEQVRIiWNgGAWjYDACdgZmECUHIg48IEoLM1iLgTFYSwIpWhIbQByitJgzMx82+PDnT/r8sMMPgbbYyek2ENBi2cyWnDizzSB34+00A6CWZGOzAwS0GBzmMT7M2wDUMjsBpOVA4jaitPD8MUg3nJ3+gXgtyTxsBgny0jlE28KWbDizzdhwg3ROwYEEA2L8crz5sMSHP3Ly8rPTN3/4UGEnR1ALQi9YpQGxykFAvoEU1aNgFIyCUTCiAADaoEJMANZL4gAAAABJRU5ErkJggg==","orcid":"","institution":"Kharkiv Institute of Physics and Technology","correspondingAuthor":true,"prefix":"","firstName":"Yan","middleName":"","lastName":"Kostylenko","suffix":""},{"id":275982612,"identity":"251c715f-8328-4f0f-957a-1625425817fe","order_by":1,"name":"Oleksandr Shebeko","email":"","orcid":"","institution":"Kharkiv Institute of Physics and Technology","correspondingAuthor":false,"prefix":"","firstName":"Oleksandr","middleName":"","lastName":"Shebeko","suffix":""}],"badges":[],"createdAt":"2024-02-29 18:30:25","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4000813/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4000813/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00601-024-01921-5","type":"published","date":"2024-05-13T16:09:32+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":59039781,"identity":"b0336af6-0a86-4ce6-af32-2bc48cf4e3bb","added_by":"auto","created_at":"2024-06-25 16:09:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":743418,"visible":true,"origin":"","legend":"","description":"","filename":"Themanuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4000813/v1_covered_10f45f28-3c9b-4b9f-adc5-a8cc44358ad8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Meson Exchange Currents in the Clothed-particle Representation: Calculation of the Deuteron Magnetic Form Factors","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"few-body-systems","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"fbsy","sideBox":"Learn more about [Few-Body Systems](http://link.springer.com/journal/601)","snPcode":"601","submissionUrl":"https://submission.nature.com/new-submission/601/3","title":"Few-Body Systems","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"deuteron, unitary transformations, clothed particles, meson exchange currents, magnetic form factor","lastPublishedDoi":"10.21203/rs.3.rs-4000813/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4000813/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We show an original way to build up a new family of electromagnetic meson exchange current operators via the method of unitary clothing transformations. Being introduced in such a way they do not depend on the choice of states with which we calculate the matrix elements. The new expressions for meson exchange currents have been compared with ones derived within the previous explorations. Special attention is paid to the deuteron eigenvalue problem and finding the proper deuteron states in a moving frame. An effective technique of ensuring the gauge independence based upon generalization of Siegert’s theorem is proposed. Magnetic form factor of the deuteron is calculated with both one-body and two-body mechanisms. The influence of relativistic effects in the one-body calculation have been considered. Besides, separate contributions from the different meson exchange mechanisms are discussed.","manuscriptTitle":"Meson Exchange Currents in the Clothed-particle Representation: Calculation of the Deuteron Magnetic Form Factors","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-03-05 04:01:00","doi":"10.21203/rs.3.rs-4000813/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"editorInvitedReview","content":"","date":"2024-03-27T08:04:55+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"17eab5e2-19d8-4eaa-845e-2f3201b65065","date":"2024-03-17T15:01:10+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-03-05T07:58:54+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-03-02T15:00:51+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-03-02T07:41:57+00:00","index":"","fulltext":""},{"type":"submitted","content":"Few-Body Systems","date":"2024-02-29T18:23:48+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"few-body-systems","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"fbsy","sideBox":"Learn more about [Few-Body Systems](http://link.springer.com/journal/601)","snPcode":"601","submissionUrl":"https://submission.nature.com/new-submission/601/3","title":"Few-Body Systems","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"3ab0cc83-933d-4014-8337-f4981faa065f","owner":[],"postedDate":"March 5th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2024-06-25T16:09:32+00:00","versionOfRecord":{"articleIdentity":"rs-4000813","link":"https://doi.org/10.1007/s00601-024-01921-5","journal":{"identity":"few-body-systems","isVorOnly":false,"title":"Few-Body Systems"},"publishedOn":"2024-05-13 16:09:32","publishedOnDateReadable":"May 13th, 2024"},"versionCreatedAt":"2024-03-05 04:01:00","video":"","vorDoi":"10.1007/s00601-024-01921-5","vorDoiUrl":"https://doi.org/10.1007/s00601-024-01921-5","workflowStages":[]},"version":"v1","identity":"rs-4000813","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4000813","identity":"rs-4000813","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.