Particle decay in Gaussian wave-packet formalism revisited
High Energy Physics - Phenomenology
2021-04-07 v3 High Energy Physics - Theory
Abstract
We derive the Fermi's golden rule in the Gaussian wave-packet formalism of quantum field theory, proposed by Ishikawa, Shimomura, and Tobita, for the particle decay within a finite time interval. We present a systematic procedure to separate the bulk contribution from those of time boundaries, while manifestly maintaining the unitarity of the -matrix unlike the proposal by Stueckelberg in 1951. We also revisit the suggested deviation from the golden rule and clarify that it indeed corresponds to the boundary contributions, though their physical significance is yet to be confirmed.
Keywords
Cite
@article{arxiv.1809.04285,
title = {Particle decay in Gaussian wave-packet formalism revisited},
author = {Kenzo Ishikawa and Kin-ya Oda},
journal= {arXiv preprint arXiv:1809.04285},
year = {2021}
}
Comments
Minor typo corrections in Eqs. (80), (183), and (184) (v3)