Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-11-11
AIP Conference Proceedings, vol. 995, Melville, New York, 2008, p. 85-91.
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages
Scientific paper
10.1063/1.2915622
Decay law of a complicated unstable state formed in a high energy collision is described by the Fourier transform of the two-point correlation function of the scattering matrix. Although each constituent resonance state decays exponentially the decay of a state composed of a large number of such interfering resonances is not, generally, exponential. We introduce the decay rates distribution function by representing the decay law in the form of the mean-weighted decay exponent. In the framework of the random matrix approach we investigate the properties of the new distribution function and its relation to the more conventional statistics of the decay widths. The latter is not in fact conclusive as concerns the evolution during the time shorter than the characteristic Heisenberg time. Exact analytical consideration is presented for the case of systems without time reversal symmetry.
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