Particle decay in Gaussian wave-packet formalism revisited

Ishikawa, Kenzo (Department of Physics, Hokkaido University, Hokkaido, Japan) (Research and Education Center for Natural Sciences, Keio University, Kanagawa, Japan) ; Oda, Kin-ya (Department of Physics, Osaka University, Osaka, Japan)

19 December 2018

Abstract: We derive Fermi’s golden rule in the Gaussian wave-packet formalism of quantum field theory, proposed by Ishikawa, Shimomura, and Tobita, for 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.

Published in: PTEP 2018 (2018) 123B01
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/pty127
arXiv: 1809.04285
License: CC-BY-3.0

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