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

Batelaan, M, Can, KU ORCID: 0000-0002-7052-1421, Horsley, R ORCID: 0000-0001-7402-5743, Nakamura, Y ORCID: 0000-0001-6799-1628, Rakow, PEL ORCID: 0000-0003-4486-2158, Schierholz, G, Stüben, H, Young, RD and Zanotti, JM ORCID: 0000-0002-3936-1597 (2023) Feynman-Hellmann approach to transition matrix elements and quasidegenerate energy states. Physical Review D, 108 (3). 034507-.

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Official URL: http://dx.doi.org/10.1103/physrevd.108.034507

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.

Item Type:	Article
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	02 Oct 2023 14:52
Last Modified:	15 Mar 2024 07:27
DOI:	10.1103/physrevd.108.034507
Open Access URL:	https://doi.org/10.1103/PhysRevD.108.034507
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3173309