A microscopic approach to ${}^3$He scattering

Abstract

We propose a practical folding model to describe ${}^3$He elastic scattering. In the model, ${}^3$He optical potentials are constructed by making the folding procedure twice. First the nucleon-target potential is evaluated by folding the Melbourne $g$-matrix with the target density and localizing the nonlocal folding potential with the Brieva--Rook method, and second the resulting local nucleon-target potential is folded with the ${}^3$He density. This double single-folding model well describes ${}^3$He elastic scattering from ${}^{58}$Ni and ${}^{208}$Pb targets in a wide incident-energy range from 30 MeV/nucleon to 150 MeV/nucleon with no adjustable parameter. Spin-orbit force effects on differential cross sections are found to be appreciable only at higher incident energies such as 150 MeV/nucleon. Three-nucleon breakup effects of ${}^3$He are investigated with the continuum discretized coupled-channels method and are found to be appreciable only at lower incident energies around 40 MeV/nucleon. Effects of knock-on exchange processes are also analyzed.

11 pages, 6 figures

References in corpus (6)

• Nuclear rainbow scattering and nucleus-nucleus potential
• The continuum discretized coupled-channels method and its applications
• Microscopic optical potentials for ${}^4$He scattering
• Repulsive nature of optical potentials for high-energy heavy-ion scattering
• Missing monopole strength of the Hoyle state in the inelastic $\alpha$+${}^{12}$C scattering
• No-recoil approximation to knock-on exchange potential in the double folding model for heavy-ion collisions

Cited by in corpus (6)

• Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• Consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables
• Study of ($p,n$)IAS and (${}^3$He,$t$)IAS charge-exchange reactions with the $G$-matrix folding method
• Neutron skin impurity from Coulomb core polarization in ${}^{208}\text{Pb}$: Insights from PREX-II and validation via the ${(}^3\text{He},t)$ isobaric analog state reaction
• Global density-dependent $\alpha$-nucleon interaction for $\alpha$-nucleus elastic scattering