Study of¹¹Li+p elastic scattering using BHF formalism with three body force

Abstract

In the present work we have analyzed the elastic scattering data of 11 Li+p at 62, 68.4 and 75 MeV/nucleon, using the microscopic optical potential calculated within the framework of Brueckner-Hartree-Fock formalism (BHF). The calculation uses Argonne v18 and Urbana v14 inter-nucleon potentials and the Urbana IX (UVIX) model of three body force. The required nucleondensity distributions for 11 Li are obtained using the semi-phenomenological model for nuclear density distributions. The optical potential has been obtained by folding the g-matrices as calculated in BHF (with and without three body forces) over the nucleon density distributions. We have used the exact method for calculating both the direct and the exchange parts of the spin-orbit potential. Our results reveal that the spin-orbit potential significantly contributes to 11 Li+p elastic scattering at all three incident energies. Further, the calculated spin-orbit potential in BHF is much smaller and more diffused as compared with the phenomenological spin-orbit potential. The analysis reveals that the calculated microscopic optical potentials, with and without three body force using BHF approach with phenomenological form of density distribution, provides satisfactory agreement with the elastic scattering data for 11 Li+p.

A nucleon–nucleus optical model for A ≤ 13 nuclei at 65–75 MeV projectile energy

“…In contrast it also depicts the doubly magic 4 He admirably with its large real volume, tight rms radii, and diminished imaginary character. The values for the volume integrals are similar to those found in [11,12,52]. For comparison we also show the potential terms of [24] for carbon 12 with a projectile energy of 70 MeV.…”

Elastic Scattering of Some Halo Nuclei of Proton at Energies Below 200 MeV/N

“…The proton and neutron density distributions in the target nuclei are the most crucial inputs needed to calculate the nucleon-nucleus optical potential. The neutron-rich nucleus is treated by writing the neutron density distribution as [41,42]:…”