Title: Quadrupole collective inertia in nuclear fission: cranking approximation

TL;DR

This paper compares different methods for calculating the collective inertia in nuclear fission, highlighting how shell structure influences the mass tensor and discussing discrepancies between approaches.

Contribution

It provides a detailed comparison between the cranking approximation, perturbative cranking, and Gaussian Overlap Approximation for collective inertia in fission pathways.

Findings

Collective mass varies strongly with quadrupole coordinate.

Shell structure changes significantly affect inertia.

Differences between methods are analyzed and discussed.

Abstract

Collective mass tensor derived from the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) approach is compared with that obtained in the Gaussian Overlap Approximation (GOA) to the generator coordinate method. Illustrative calculations are carried out for one-dimensional quadrupole fission pathways in 256Fm. It is shown that the collective mass exhibits strong variations with the quadrupole collective coordinate. These variations are related to the changes in the intrinsic shell structure. The differences between collective inertia obtained in cranking and perturbative cranking approximations to ATDHFB, and within GOA, are discussed.