THE EXPONENTIAL APPROXIMATION IN PARTICLE DECAY (in German)
The approximation leading to the exponential time dependence was investigated in a simple model of the two-particle decay. The Weisskopf-Wigmer method is first used and then the exact solution of the initial value problem according to the Heitler damping theory. The exponential law follows as a result of a pole in the analytical continuation of the expectancy value of the resolvent. For the asymtotic behavior for long time periods, the branching point at the beginning of the continuous spectrum was determined. It leads, in general, to a power law. In the decay with weak interactions measurable effects are not expected. Deviations in strong interactions depend on the more accurate form of the coupling. Its discussion requires further investigations on the ideas of the short-lived unstable particles. (tr-auth)
- Research Organization:
- Univ. of Munich
- NSA Number:
- NSA-13-001769
- OSTI ID:
- 4297667
- Journal Information:
- Z. Physik, Journal Name: Z. Physik Journal Issue: 5 Vol. Vol: 152; ISSN 1434-6001
- Country of Publication:
- Country unknown/Code not available
- Language:
- German
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