Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/137915
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Type: | Conference paper |
Title: | Quasi-degenerate baryon energy states, the Feynman-Hellmann theorem and transition matrix elements |
Author: | Horsley, R. Batelaan, M. Can, K.U. Nakamura, Y. Perlt, H. Rakow, P.E.L. Schierholz, G. Stuben, H. Young, R.D. Zanotti, J.M. |
Citation: | Proceedings of Science, 2023, vol.430, pp.412-1-412-12 |
Publisher: | SISSA |
Publisher Place: | Italy |
Issue Date: | 2023 |
Series/Report no.: | Proceedings of Science; 430 |
ISSN: | 1824-8039 1824-8039 |
Conference Name: | International Symposium on Lattice Field Theory (LATTICE) (8 Aug 2022 - 13 Aug 2022 : Bonn, Germany) |
Statement of Responsibility: | M. Batelaan, K. U. Can, R. Horsley, Y. Nakamura, H. Perlt, P. E. L. Rakow, G. Schierholz, H. Stüben, R. D. Young and J. M. Zanotti |
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. |
Rights: | © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). |
DOI: | 10.22323/1.430.0412 |
Grant ID: | http://purl.org/au-research/grants/arc/DP190100297 |
Published version: | https://pos.sissa.it/430/ |
Appears in Collections: | Physics publications |
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hdl_137915.pdf | Published version | 557.02 kB | Adobe PDF | View/Open |
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