Microscopic⁶Li-²⁸Si potential from the energy-density functional theory

Abstract

The experimental differential cross-sections for the 6 Li elastic scattering by 28 Si over the incident energies ELi = 7.5-99.0 MeV and vector analyzing power data at 22.8 MeV have been analyzed in terms of a non-monotonic potential, microscopically derived from the energydensity functional (EDF) theory using a realistic two-nucleon potential that incorporates effects of the Pauli principle. The data are accounted for well without any need for renormalization of the potential or adjustment of its parameters. Inclusion of a static spin-orbit potential with the EDF-generated central real one is found to describe satisfactorily the features of the vector analyzing power data.

Non-monotonic potentials and vector analyzing powers of 6,7 Li scattering by 12 C, 26 Mg, 58 Ni, and 120 Sn

“…In conclusion, as was the case in [1,3], the NM nature of the real part of the central 6,7 Li-nucleus potential, along with the dynamics of the projectile excitation, seems to play a significant role in producing the proper DPP responsible for generating the actual effective SO potential. Therefore, this approach merits further investigation with the CS and VAP data at higher energies.…”

“…Figure 4 shows the plot of the volume integral per nucleon pair J R /(6A T ) vs. A −1/3 T which includes the integral value for the EDF-generated 6 Li-28 Si potential from [1,2]. The plot is primarily linear with the relationship J R /(6A T ) = 49.49(1 + 3.852A…”

“…Alternatively, nucleus-nucleus potentials have been derived [2] from a realistic NN potential using the energy-density functional (EDF) [13] approach. As noted in [1,2], the basic ingredients for deriving nucleus-nucleus potentials using this method are: i) a realistic NN potential, ii) experimental density distribution (DD) functions for each of the colliding nuclei, and iii) local density approximation to determine the nucleonic mean field that incorporates the Pauli principle. In the sudden approximation version of this method, the functional form of the nucleus-nucleus potential is non-monotonic (NM) as a consequence of the Pauli principle.…”

“…This motivated us to extend the applicability of the optical model (OM) analyses of the 6 Li- 28 Si elastic scattering data in [1,2] to examine the 6,7 Li elastic scattering by a wide mass range of targets, 12 C, 26 Mg, 58 Ni and 120 Sn, at different incident energies. The prime focus of the present investigation is to address the challenging situation of the opposite signs of available VAP data of 6 Li and 7 Li elastic scattering on 58 Ni at E lab ≈ 20 MeV [15,16] and on 120 Sn at 44 MeV [12,17] in addition to accounting for their CS data.…”

Non-monotonic potential description of alpha–Zr refractive elastic scattering

“…(i) the anomalous large angle scattering (ALAS) in angular distributions of α and 6,7 Li elastic collisions [1][2][3][4][5][6][7][8] and α-inelastic scattering by 24 Mg and 28 Si [9]; (ii) the oscillations of the angular distributions along with the correct order of absolute cross sections (CSs) of the 27 Al(α, t) 28 Si [10], 28,29,30 Si(α, d) 30,31,32 P [11, 12], 28 Si(α,p) 31 P [13], and 28 Si(α,t) 29 P and 28 Si(α, 3 He) 29 Si [14] reactions.…”