Journal Article/Contribution to a conference proceedings

PUBDB-2023-01098

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quasi-degenerate baryon energy states, the Feynman-Hellmann theorem and transition matrix elements

Horsley, R. (Corresponding author)Extern* ; Batelaan, M. ; Can, K. U. ; Nakamura, Y. ; Perlt, H. ; Rakow, P. E. L. ; Schierholz, G.DESY* ; Stüben, H. ; Young, R. D. ; Zanotti, J. M.

2023
SISSA Trieste

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Please use a persistent id in citations: doi:10.22323/1.430.0412  doi:10.3204/PUBDB-2023-01098

Report No.: DESY-23-017; arXiv:2302.04911

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.

Keyword(s): baryon: energy ; correlation function ; energy levels ; hadron ; nucleon ; lattice field theory ; numerical calculations ; lattice ; Feynman

Note: PoS(LATTICE2022)412. Proceedings of the 39th International Symposium on Lattice Field Theory, 8-13 August 2022, Bonn, Germany

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Horsley, R. (Corresponding author)Extern* ; Batelaan, M. ; Can, K. U. ; Nakamura, Y. ; Perlt, H. ; Rakow, P. E. L. ; Schierholz, G.DESY* ; Stüben, H. ; Young, R. D. ; Zanotti, J. M.
Quasi-degenerate baryon energy states, the Feynman-Hellmann theorem and transition matrix elements
[10.22323/1.430.0412]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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