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

QCDSF-UKQCD-CSSM Collaboration

Research output: Contribution to journalArticlepeer-review

Abstract

The 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.
Original languageEnglish
Article number034507
Pages (from-to)1-27
Number of pages27
JournalPhysical Review D
Volume108
Issue number3
DOIs
Publication statusPublished - 1 Aug 2023

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