Semi-Phenomenological Interpretation of the Optical Model in Nuclear Reactions from the Point of View of Fluctuation-Dissipation Theorem

Abstract

The behavior of the nuclear optical model in the elastic scattering of neutrons at low energies is investigated on the theoretical basis of the fluctuation-dissipation theorem. The theory starts from a Schrodinger equation with the optical potential and the fluctuating source function. The source function, a representative of motions of the compound nucleus, is subject to the fluctuation-dissipation theorem, in which the imaginary part of the optical potential is proportional to the correlation function of the fluctuating source function. It is found that the strength function characterizing nuclear reactions is represented by the Fourier transform of the correlation function of the fluctuating wave function, and that the average rate of energy dissipation of the compound nucleus is proportional to the strength function and temperature of the compound nucleus.