Statistical theory of precompound reactions: The multistep compound process

摘要: Abstract Using a quantum-statistical framework, the method of generating function involving both commuting and anticommuting variables, saddle-point approximation followed by loop expansion, we derive theoretical framework for multistep-compound reactions. Our statistical input distinguishes between several classes states increasing complexity; this distinction is possible only at expense relinquishing orthogonal invariance distribution Hamiltonian matrix elements usually required in compound-nucleus theories. result contains scattering cross section theory Agassi Weidenmuller, Montzouranis ( Phys. Lett. C 22 (1975), 145.) developed earlier as special cases. It goes beyond theory, extends precompound theories general, allowing couplings classes, to channels, be reasonably strong. A self-consistency condition embodied equation implies case that level densities used calculations must modified. We investigate modification simple model results suggest may relevant high-energy tail spectrum particles.