Estimation of the breakup cross sections in $^6$He+$^{12}$C reaction within high-energy approximation and microscopic optical potential

TL;DR

This paper estimates the breakup cross sections of $^6$He+$^{12}$C reactions at 40 MeV/nucleon using high-energy approximation and microscopic optical potentials, highlighting that breakup accounts for about half of the total reaction cross section.

Contribution

It introduces a microscopic approach combining high-energy approximation and optical potentials to calculate breakup cross sections for $^6$He+$^{12}$C, considering di-neutron structure.

Findings

Breakup cross sections constitute about 50% of the total reaction cross section.

The model successfully estimates the relative motion wave function of di-neutron in $^6$He.

Calculated stripping and absorption cross sections align with total reaction cross sections.

Abstract

The breakup cross sections in the reaction $^6$He+$^{12}$C are calculated at about 40 MeV/nucleon using the high-energy approximation (HEA) and with the help of microscopic optical potentials (OP) of interaction with the target nucleus $^{12}$C of the projectile nucleus fragments $^4$He and 2n. Considering the di-neutron $h$=2n as a single particle the relative motion $h\alpha$ wave function is estimated so that to explain both the separation energy of $h$ in $^6$He and the rms radius of the latter. The stripping and absorbtion total cross sections are calculated and their sum is compared with the total reaction cross section obtained within a double-folding microscopic OP for the $^6$He+$^{12}$C scattering. It is concluded that the breakup cross sections contribute in about 50% of the total reaction cross section.