Cranking mass parameters for fission

TL;DR

This paper introduces a semi-adiabatic formalism for calculating cranking mass parameters in nuclear fission, applying it to 234U to analyze inertia and excitation energy dependencies during the process.

Contribution

It develops a new semi-adiabatic approach for cranking mass parameters using time-dependent pairing equations and a five-dimensional configuration space.

Findings

Cranking inertia varies with excitation energy.

Fission barrier determined by minimizing action in 5D space.

Deformation energy computed with microscopic-macroscopic model.

Abstract

A formalism for semi-adiabatic cranking mass parameters is presented. For the fission process of 234U, the time-dependent pairing equations of motion were used to calculate the excitation energy and to extract values of the cranking inertia. A fission barrier is determined by minimizing the action trajectory in a five dimensional configuration space spanned by elongation, necking, deformations of fragments and mass-asymmetry. The deformation energy is computed in the the frame of the microscopic-macroscopic model. The two center shell model with Woods-Saxon potentials is used in this context. Values of the inertia for excited fissioning systems are reported. A dependence between the cranking mass parameters and the intrinsic excitation energy is evidenced.