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Feynman--Hellmann approach to transition matrix elements and quasi-degenerate energy states
- Source :
- Phys. Rev D 108, 034507 (2023)
- Publication Year :
- 2023
-
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 diagonalise 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.<br />Comment: 50 pages. Minor typos fixed. Published version
- Subjects :
- High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev D 108, 034507 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2305.05491
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.108.034507