Two-body dissipation effect in nuclear fusion reactions

TL;DR

This paper compares mean-field and density matrix methods to quantify two-body dissipation effects in nuclear fusion, revealing enhanced friction coefficients and energy-dependent dissipation mechanisms.

Contribution

It introduces a practical approach to quantify dissipation in fusion reactions using the density matrix method, accounting for two-body correlations beyond mean-field.

Findings

Density matrix approach shows 20% higher friction coefficients than mean-field.

Dissipative effects are more pronounced at lower incident energies.

A solution to energy non-conservation in simulations is proposed.

Abstract

Friction coefficients for the fusion reaction $^{16}$O+$^{16}$O $\rightarrow$ $^{32}$S are extracted based on both the time-dependent Hartree-Fock and the time-dependent density matrix methods. The latter goes beyond the mean-field approximation by taking into account the effect of two-body correlations, but in practical simulations of fusion reactions we find that the total energy is not conserved. We analyze this problem and propose a solution that allows for a clear quantification of dissipative effects in the dynamics. Compared to mean-field simulations, friction coefficients in the density-matrix approach are enhanced by about $20 \, \%$. An energy-dependence of the dissipative mechanism is also demonstrated, indicating that two-body collisions are more efficient at generating friction at low incident energies.