Feynman-Hellmann approach to transition matrix elements and quasidegenerate energy states
Date
2023
Authors
Batelaan, M.
Can, K.U.
Horsley, R.
Nakamura, Y.
Rakow, P.E.L.
Schierholz, G.
Stüben, H.
Young, R.D.
Zanotti, J.M.
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Journal article
Citation
Physical Review D (particles, fields, gravitation, and cosmology), 2023; 108(3):034507-1-034507-27
Statement of Responsibility
QCDSF-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
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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.
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Published 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.