Statistical formalism for particle emission

Abstract

A simple transparent formalism is presented for following the ensemble averaged evolution of an excited system as it statistically emits particles. The formalism provides spectra and multiplicities for the emitted particles. It permits consideration of large numbers of emitted particle species, including those of medium mass, and a large number of excited states. The time developments of temperature, mass, charge, Coulomb barrier, and recoil velocity are investigated with regard to their influence on multiplicity and spectra. Emission of resonant states is limited to those with decay rates, $\frac{\hslash }{\Gamma }$, slow compared with emission rates which are readily calculable with the formalism.