Adiabatic Theory of Fission

Publisher Website
Google Scholar
Abstract
Assuming that the fission process from the saddle point to the scission point is adiabatic with respect to the degrees of freedom of elongation and rotation of the nucleus as a whole, and that the state wave function remains a quasi-particle vacuum throughout the process, the time dependent Hartree-Fock-Bogolyubov theory is developed. A representation of the nucleon destruction operator in terms of the fragment single particle wave functions is introduced, which is suitable for the description of the density localization of the nucleus. Furthermore, it is assumed that the nascent fragments interact through the exchange of the valence nucleons near the Fermi energy and that the remaining nucleons form inert closed cores of the fragments. A simple model of the equations of motion for the density matrices is solved, and it is shown that the valence nucleon system has an asymmetric oscillation mode which leads to asymmetric mass divisions of the nucleus.

This publication has 0 references indexed in Scilit: