@article{84d91181a3d5431e98ce0db436221c00,
title = "Feynman-Hellmann approach to transition matrix elements and quasidegenerate energy states",
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.",
author = "{QCDSF-UKQCD-CSSM Collaboration} and M. Batelaan and Can, {K. U.} and R. Horsley and Y. Nakamura and Rakow, {P. E. L.} and G. Schierholz and H. St{\"u}ben and Young, {R. D.} and Zanotti, {J. M.}",
note = "Funding Information: The numerical configuration generation (using the BQCD lattice QCD program ) and data analysis (using the chroma software library ) was carried out on the DiRAC Blue Gene Q and Extreme Scaling Service (Edinburgh Centre for Parallel Computing (EPCC), Edinburgh, UK), the Data Intensive Service (Cambridge Service for Data-Driven Discovery, CSD3, Cambridge, UK), the Gauss Centre for Supercomputing (GCS) supercomputers JUQUEEN and JUWELS (John von Neumann Institute for Computing, NIC, J{\"u}lich, Germany) and resources provided by the North-German Supercomputer Alliance (HLRN), the National Computer Infrastructure (NCI National Facility in Canberra, Australia supported by the Australian Commonwealth Government) and the Phoenix HPC service (University of Adelaide). K. U. C. is supported by the ARC Grant No. DP220103098. R. H. is supported in part by the STFC Grant No. ST/P000630/1. P. E. L. R. is supported in part by the STFC Grant No. ST/G00062X/1. G. S. is supported by DFG Grant No. SCHI 179/8-1. R. D. Y. and J. M. Z. are supported by the ARC Grants No. DP190100298 and No. DP220103098. For the purpose of open access, the authors have applied a Creative Commons Attribution (CC BY) licence to any author accepted manuscript version arising from this submission. Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.",
year = "2023",
month = aug,
day = "1",
doi = "10.1103/PhysRevD.108.034507",
language = "English",
volume = "108",
pages = "1--27",
journal = "Physical Review D",
issn = "1550-7998",
publisher = "American Physical Society",
number = "3",
}