Microscopic analysis of $^{10,11}$Be elastic scattering on protons and nuclei and breakup processes of $^{11}$Be within the $^{10}$Be+$n$ cluster model

TL;DR

This paper uses microscopic models to analyze elastic scattering and breakup processes of $^{10,11}$Be nuclei on various targets, providing detailed insights into their structure and interactions at energies below 100 MeV/nucleon.

Contribution

It introduces a hybrid microscopic approach combining QMC and GCM density distributions with optical potential models to accurately describe scattering and breakup processes of $^{10,11}$Be.

Findings

Optical potentials fitted to experimental data reproduce elastic scattering cross sections.

Breakup cross sections and momentum distributions align well with experimental measurements.

The model highlights the importance of spin-orbit and surface contributions in scattering analyses.

Abstract

The density distributions of $^{10}$Be and $^{11}$Be nuclei obtained within the quantum Monte Carlo (QMC) model and the generator coordinate method (GCM) are used to calculate the microscopic optical potentials (OPs) and cross sections of elastic scattering of these nuclei on protons and $^{12}$C at energies $E<100$ MeV/nucleon. The real part of the OP is calculated using the folding model with the exchange terms included, while the imaginary part of the OP that reproduces the phase of scattering is obtained in the high-energy approximation (HEA). In this hybrid model of OP the free parameters are the depths of the real and imaginary parts obtained by fitting the experimental data. The well known energy dependence of the volume integrals is used as a physical constraint to resolve the ambiguities of the parameter values. The role of the spin-orbit potential and the surface contribution to the OP is studied for an adequate description of available experimental elastic scattering cross section data. Also, the cluster model, in which $^{11}$Be consists of a $n$-halo and the $^{10}$Be core, is adopted. Within the latter, the breakup cross sections of $^{11}$Be nucleus on $^{9}$Be, $^{93}$Nb, $^{181}$Ta, and $^{238}$U targets and momentum distributions of $^{10}$Be fragments are calculated and compared with the existing experimental data.