PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Weak Decays and Matrix Elements
Quasi-degenerate baryon energy states, the Feynman-Hellmann theorem and transition matrix elements
R. Horsley*, M. Batelaan, K.U. Can, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, H. Stuben, R.D. Young and J.M. Zanotti
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Pre-published on: February 06, 2023
Published on: April 06, 2023
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.
DOI: https://doi.org/10.22323/1.430.0412
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