Microscopic study of Ca$+$Ca fusion

TL;DR

This paper uses microscopic time-dependent Hartree-Fock theory to analyze fusion barriers and gamma-ray emissions in calcium isotope reactions, providing detailed insights into nuclear fusion dynamics.

Contribution

It introduces a method to directly compute fusion barriers from TDHF dynamics and explores the effects of different Skyrme interactions on these barriers.

Findings

Fusion barriers vary with collision energy and Skyrme parametrization.

Pre-equilibrium GDR excitation occurs in Ca fusion systems.

Fusion cross-sections are successfully calculated using the incoming-wave boundary condition.

Abstract

We investigate the fusion barriers for reactions involving Ca isotopes $\mathrm{^{40}Ca}+\mathrm{^{40}Ca}$, $\mathrm{^{40}Ca}+\mathrm{^{48}Ca}$, and $\mathrm{^{48}Ca}+\mathrm{^{48}Ca}$ using the microscopic time-dependent Hartree-Fock theory coupled with a density constraint. In this formalism the fusion barriers are directly obtained from TDHF dynamics. We also study the excitation of the pre-equilibrium GDR for the $\mathrm{^{40}Ca}+\mathrm{^{48}Ca}$ system and the associated $\gamma$-ray emission spectrum. Fusion cross-sections are calculated using the incoming-wave boundary condition approach. We examine the dependence of fusion barriers on collision energy as well as on the different parametrizations of the Skyrme interaction.