EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT

Abstract

The elastic angular distributions for 9 Li + p and 11 Li + p at E lab /A = 60 and 62 MeV/ nucleon, respectively, have been analyzed within the framework of the eikonal model. It is assumed that 11 Li has the halo structure of a 9 Li core plus two weakly bound neutrons and is treated such that the nuclear potential has a sum of the core and halo neutron contributions. We have found that the break-up effect of halo neutrons is essential to understand the elastic cross sections of 11 Li + p system at E lab /A = 62 MeV/nucleon. The near-and the far-side decompositions of elastic cross sections have also been performed by following the Fuller's formalism. *

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

“…Our results show that we are able to get reasonably satisfactory agreement with the existing experimental data by renormalizing only the calculated imaginary potential in contrast with earlier analyses [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27], where a large reduction factor to the calculated potentials was required to achieve agreement with the experimental data for 11 Li+p at all three incident energies.…”

“…It has been discussed in many earlier papers [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] that coupling of the elastic channel with the low-lying breakup channels of loosely bound nuclei is responsible for appreciable 11 Li+p at 62 [8], 68.4 [9] and 75 [10] MeV/nucleon, with UVIX three body force along with av18 and uv14. The symbols are explained in the legends.…”

“…A detailed analysis of the proton elastic scattering from 4,6,8 He and 6,7,9,11 Li in the energy range 25-75 MeV/nucleon had been studied in [20], where the real part of the potential was calculated using the SBM interaction with different densities, while the imaginary and spin-orbit parts were taken with a Woods-Saxon form. In the incident energy range of 62-75 MeV/nucleon, the eikonal approach using proton and neutron density distributions had also been used [21][22][23]. In [21] the eikonal and adiabatic approximations were employed to derive the optical potential that includes the breakup effect of halo neutrons to continuum states, it was shown that both the breakup of 11 Li and the exchange force of the pn interaction were important in obtaining good agreement with experimental data.…”

“…In [21] the eikonal and adiabatic approximations were employed to derive the optical potential that includes the breakup effect of halo neutrons to continuum states, it was shown that both the breakup of 11 Li and the exchange force of the pn interaction were important in obtaining good agreement with experimental data. Further it was found [23] that the breakup effect of halo neutrons was essential in understanding the 11 Li+p elastic scattering cross sections at 62 MeV/nucleon. In [24,25] the 11 Li+p elastic scattering cross sections had been analyzed using the folding procedure and effective NN forces to calculate the real part of the optical potential taking into account only its direct part.…”

Microscopic analysis of11Li elastic scattering on protons and breakup processes within the9Li+2ncluster model

“…In various works (e.g., Refs. [25][26][27][28][29]) the calculations of the 11 Li+p differential cross sections in the energy range E < 100 MeV/nucleon differ between themselves by the assumptions how the 11 Li+p optical potential to be constructed. Most of them use the simple folding approach to the real part of OP (ReOP) without accounting for the exchange terms and with introducing different forms of effective nucleon-nucleon (NN) interactions.…”