Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-11-05
Phys.Rev. D58 (1998) 045004
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages, LATEX file with 8 PS figures
Scientific paper
10.1103/PhysRevD.58.045004
Time evolution of the decay process of unstable particles is investigated in field theory models. We first formulate how to renormalize the non-decay amplitude beyond perturbation theory and then discuss short-time behavior of very long-lived particles. Two different formalisms, one that does and one that does not, assume existence of the asymptotic field of unstable particles are considered. The non-decay amplitude is then calculated by introducing a finite time resolution of measurement, which makes it possible to discuss both renormalizable and non-renormalizable decay interaction including the nucleon decay. In ordinary circumstances the onset of the exponential decay law starts at times as early as at roughly the resolution time, but with an enhanced amplitude which may be measurable. It is confirmed that the short-time formula $1 - \Gamma t$ of the exponential decay law may be used to set limits on the nucleon decay rate in underground experiments. On the other hand, an exceptional example of S-wave decay of very small Q-value is found, which does not have the exponential period at all.
Joichi Izumi
Matsumoto Sh.
Yoshimura Masaki
No associations
LandOfFree
Time Evolution of Unstable Particle Decay Seen with Finite Resolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Time Evolution of Unstable Particle Decay Seen with Finite Resolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time Evolution of Unstable Particle Decay Seen with Finite Resolution will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-190436