Feynman-Hellmann approach to transition matrix elements and quasidegenerate energy states

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dc.contributor.authorBatelaan, M.
dc.contributor.authorCan, K.U.
dc.contributor.authorHorsley, R.
dc.contributor.authorNakamura, Y.
dc.contributor.authorRakow, P.E.L.
dc.contributor.authorSchierholz, G.
dc.contributor.authorStüben, H.
dc.contributor.authorYoung, R.D.
dc.contributor.authorZanotti, J.M.
dc.date.issued2023
dc.description.abstractThe Feynman-Hellmann approach to computing matrix elements in lattice QCD by first adding a perturbing operator to the action is described using the transition matrix and the Dyson expansion formalism. This perturbs the energies in the two-point baryon correlation function, from which the matrix element can be obtained. In particular at leading order in the perturbation we need to diagonalize a matrix of near-degenerate energies. While the method is general for all hadrons, we apply it here to a study of a sigma to nucleon baryon transition vector matrix element.
dc.description.statementofresponsibilityQCDSF-UKQCD-CSSM Collaboration: M. Batelaan, K. U. Can, R. Horsley, Y. Nakamura, P. E. L. Rakow, G. Schierholz, H. Stüben, R. D. Young, and J. M. Zanotti
dc.identifier.citationPhysical Review D (particles, fields, gravitation, and cosmology), 2023; 108(3):034507-1-034507-27
dc.identifier.doi10.1103/physrevd.108.034507
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.orcidCan, K.U. [0000-0002-7052-1421]
dc.identifier.orcidYoung, R.D. [0000-0002-4527-1811]
dc.identifier.orcidZanotti, J.M. [0000-0002-3936-1597]
dc.identifier.urihttps://hdl.handle.net/2440/140380
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.granthttp://purl.org/au-research/grants/arc/DP220103098
dc.relation.granthttp://purl.org/au-research/grants/arc/DP190100298
dc.rightsPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
dc.source.urihttps://doi.org/10.1103/physrevd.108.034507
dc.subjectForm factors; Baryons; Lattice gauge theory
dc.titleFeynman-Hellmann approach to transition matrix elements and quasidegenerate energy states
dc.typeJournal article
pubs.publication-statusPublished online

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