The nucleon microscopic optical potential based on the Skyrme interaction

Abstract

Abstract. The nucleon microscopic optical potential based on the conventional and extended Skyrme interactions are achieved by the single-particle Green function method through nuclear matter approximation and local density approximation. The nucleon-nucleon scattering observables are calculated by the obtained microscopic optical potential and the results are compared with the corresponding experimental data. Good agreement is generally obtained between them.

Microscopic optical potentials for Li isotopes

“…U n and U p are the MOPs of neutron and proton from Ref. [2,3] respectively. They are an isospin-dependent nonrealistic microscopic optical potential for nucleon base on Skyrme nucleon-nucleon effective interactions.…”

“…They are an isospin-dependent nonrealistic microscopic optical potential for nucleon base on Skyrme nucleon-nucleon effective interactions. Different Skyrme parameters, SGOII [4] and SKC16 [2], are used to obtain the MOPs of internal nucleons for 6 Li and 7 Li respectively. The incident energy of each nucleon is assumed to be the total incident energy multiplied by 1/A.…”

“…The nucleon spin-orbit coupling potential, U so n for neutron and U so p for proton, taken from Ref. [2] should be multiplied with m * /m, where m * is the nucleon effective mass inside the target nucleus. Hence, U so is expressed as The experimental data are taken from Refs.…”

Microscopic study of the $^{7}$Li-nucleus potential

“…R is the relative coordinate between the centers of mass of the target and 7 Li, and r is the internal coordinate of 7 Li. The isospin-dependent nonrealistic nucleon MOP [1,13,14,15] is adopted to be U n and U p and here is a brief introduction for it. From the perspective of many-body theory, the nucleon optical potential is equivalent to the mass operator of the single-particle Green's function [17].…”

“…Since the measured 7 Li scattering data are not sufficient up to now, a 7 Li MOP is obtained in the present work by folding the MOPs of its internal nucleons over their density distributions. The isospin-dependent nonrealistic nucleon MOP derived by using the Green's function method in our previous work [1,13,14,15] is adopted to be the MOP for the constituent nucleons. Shell model is applied to construct the internal wave function and generate the nucleon density distributions.…”