In search of beyond mean-field signatures in heavy-ion fusion reactions

TL;DR

This paper investigates irregularities in heavy-ion fusion reactions involving oxygen isotopes and carbon, highlighting the importance of nuclear structure and beyond mean-field effects in accurately modeling fusion cross sections.

Contribution

It introduces a density-constrained time-dependent Hartree-Fock approach to better describe fusion barriers and cross sections, surpassing standard models.

Findings

Improved agreement with experimental data using density-constrained barriers

Identification of deviations indicating beyond mean-field effects

Analysis of nuclear structure influence on fusion irregularities

Abstract

Examination of high-resolution, experimental fusion excitation functions for $^{16,17,18}$O + $^{12}$C reveals a remarkable irregular behavior that is rooted in the structure of both the colliding nuclei and the quasi-molecular composite system. The impact of the $\ell$-dependent fusion barriers is assessed using a time-dependent Hartree-Fock model. Barrier penetrabilities, taken directly from a density-constrained calculation, provide a significantly improved description of the experimental data as compared to the standard Hill-Wheeler approach. The remaining deviations between the parameter-free theoretical mean-field predictions and experimental fusion cross sections are exposed and discussed.