Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass

TL;DR

This paper microscopically calculates collective inertial masses in nuclear reactions using the ASCC method, demonstrating its accuracy over cranking formulas and highlighting the importance of proper inertial mass treatment for astrophysical S-factors.

Contribution

The paper introduces a self-consistent microscopic calculation of inertial masses in nuclear reactions using the ASCC method, restoring Galilean invariance and improving accuracy.

Findings

ASCC method reproduces exact total nuclear mass for translation.

ASCC inertial masses match asymptotic reduced masses.

Cranking formulas fail to restore Galilean invariance.

Abstract

Collective inertial mass coefficients with respect to translational, relative, and rotational motions are microscopically calculated, along the collective reaction path self-consistently determined, based on the adiabatic self-consistent collective coordinate (ASCC) method. The impact of the time-odd component of the mean-field potential on the inertial masses are investigated. The results are compared with those calculated with the cranking formulae. The inertial masses based on the ASCC method reproduce the exact total nuclear mass for the translational motion as well as the exact reduced masses as the asymptotic values for the relative and rotational motions. In contrast, the cranking formulae fail to do so. This is due to the fact that the (local) Galilean invariance is properly restored in the ASCC method, but violated in the cranking formulae. A model Hamiltonian for low-energy nuclear reaction is constructed with the microscopically derived potentials and inertial masses. The astrophysical S-factors are calculated, which indicates the importance of microscopic calculation of proper inertial masses.