Overlapping-Resonance Scattering and Statistical Theory of Unimolecular Decomposition

概要

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A random matrix model of unimolecular decomposition is investigated based on the Feshbach theory of resonant scattering. Energies of zero-th order quasi-bound states are randomly distributed, and coupling matrix elements between these quasi-bound states and continua are generated by Gaussian random numbers. The average decay rate of the quasi-bound states exhibits systematic behavior as a function of density of quasi-bound states, average magnitude of the coupling and number of continua. The average decay rate coincides with the one predicted by the statistical theory of unimolecular decomposition (RRKM theory) when the mean spacing of the quasi-bound states is comparable with the average resonance width. Under this condition, the spectrum of the quasi-bound states is most diffuse, and we can neither resolve each quasi-bound state nor even distinguish resonant collision from direct one clearly.
理論物理学刊行会の論文
1994-08-12