Journal Article

PUBDB-2023-05309

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Feynman-Hellmann approach to transition matrix elements and quasidegenerate energy states

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

2023
Inst. Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.108.034507  doi:10.3204/PUBDB-2023-05309

Report No.: ADP-23-12/T1221; DESY-23-059; Liverpool LTH 1340; arXiv:2305.05491

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.

Keyword(s): higher-order: 0 ; baryon: correlation function ; lattice field theory ; perturbation ; hadron ; nucleon ; Feynman

Note: Phys. Rev D 108, 034507 (2023). 50 pages. Minor typos fixed. Published version

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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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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Batelaan, M. ; Can, K. U. ; Horsley, R. (Corresponding author)Extern* ; Nakamura, Y. ; Rakow, P. E. L. ; Schierholz, G.DESY* ; Stüben, H. ; Young, R. D. ; Zanotti, J. M. ; QCDSF-UKQCD-CSSM Collaboration (Collaboration author)
Feynman-Hellmann approach to transition matrix elements and quasi-degenerate energy states
[10.3204/PUBDB-2023-02965]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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