Feynman--Hellmann approach to transition matrix elements and quasi-degenerate energy states
| Autor: | Batelaan, M., Can, K. U., Horsley, R., Nakamura, Y., Rakow, P. E. L., Schierholz, G., Stüben, H., Young, R. D., Zanotti, J. M. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev D 108, 034507 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.108.034507 |
| Popis: | 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. Comment: 50 pages. Minor typos fixed. Published version |
| Databáze: | arXiv |
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