Quasi-degenerate baryon energy states, the Feynman-Hellmann theorem and transition matrix elements

Horsley, Roger, Batelaan, M, Can, KU, Nakamura, Y, Perlt, H, Rakow, PEL ORCID: 0000-0003-4486-2158, Schierholz, G, Stuben, H, Young, RD and Zanotti, JM (2023) Quasi-degenerate baryon energy states, the Feynman-Hellmann theorem and transition matrix elements. In: The 39th International Symposium on Lattice Field Theory, 2022-8-8 - ?.

Access the full-text of this item by clicking on the Open Access link.

Official URL: http://dx.doi.org/10.22323/1.430.0412

Abstract

The standard method for determining matrix elements in lattice QCD requires the computation of three-point correlation functions. This has the disadvantage of requiring two large time separations: one between the hadron source and operator and the other from the operator to the hadron sink. Here we consider an alternative formalism, based on the Dyson expansion leading to the Feynman-Hellmann theorem, which only requires the computation of two-point correlation functions. Both the cases of degenerate energy levels and quasi-degenerate energy levels which correspond to diagonal and transition matrix elements respectively can be considered in this formalism. As an example numerical results for the Sigma to Nucleon vector transition matrix element are presented.

Item Type:	Conference or Workshop Item (Unspecified)
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	02 Oct 2023 15:01
Last Modified:	15 Mar 2024 15:19
DOI:	10.22323/1.430.0412
Open Access URL:	https://pos.sissa.it/430/412
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3173313