Systematic study for relation between nuclear structure and reaction in $^{10}$Be nucleus

TL;DR

This study explores how variations in nuclear structure, especially dineutron correlations in $^{10}$Be, influence scattering reactions, using a microscopic cluster model and coupled-channel calculations to connect structure changes with reaction outcomes.

Contribution

It provides a systematic analysis of the impact of nuclear structure modifications, including realistic binding energies, on scattering cross sections and dineutron correlations in $^{10}$Be.

Findings

Dineutron correlation significantly affects inelastic scattering cross sections.

Adjusting the nucleon-nucleon interaction reproduces realistic binding energies.

Structural changes correlate with observable reaction differences.

Abstract

We systematically investigate the relation between the nuclear structure and reaction in the $^{10}$Be nucleus using a theoretical framework. The structure of the $^{10}$Be nucleus is constructed with a cluster model based on a microscopic viewpoint. In this paper, the $^{10}$Be nucleus with different structures is prepared by manipulating the parameters of an effective nucleon-nucleon interaction. The nuclear structure and expectation values of physical quantities are drastically changed by the modification. We summarize such changes and show the effects on the elastic and inelastic scatterings for the proton and $^{12}$C targets in the microscopic coupled-channel calculation. Especially, we recently reported the visualization of dineutron correlation in $^{10}$Be on proton inelastic scattering in [Phys. Rev. C104, 034613 (2021)]. In this preceding work, we found that the changing the degree of dineutron correlation in $^{10}$Be leads to drastic changes of the inelastic cross section for the 2$_2^+$ state. The development (or breaking) of the dineutron correlation is governed by the strength of the spin-orbit interaction of the structure calculation. However, in the previous work, some of the realistic physical points were missing, for example, the binding energy. Therefore, we reconstruct the $^{10}$Be nucleus by adjusting the effective nucleon-nucleon interaction to obtain the reasonable binding energy of the ground state. With this improvement, we again discuss the dineutron correlation in the $^{10}$Be nucleus. We reconfirm the way to measure the degree of the development (or breaking) of dineutron cluster structure; the sensitivity to the inelastic cross section of the ground state to the 2$_2^+$ state of $^{10}$Be.