ANALYSIS OF p-^{4, 6, 8}He AND p-^{6, 9, 11}Li SCATTERING

Abstract

Using the Coulomb modified Glauber model, we analyze the elastic scattering of protons from He and Li isotopes at 60 MeV and 72 MeV. The calculations require two inputs; the nucleon-nucleon (NN) amplitude and the nucleon density distributions in target nuclei. The central part of the NN amplitude is taken from the available NN scattering observables. To find the spin-dependent part, we employ p-4 He scattering data to fix its parameter values. For target nuclei, we use nucleon density distributions available in the literature. The NN amplitude, as obtained in this work, is then used to study the sensitivity of the calculated differential cross-section and polarization for p-6,8 He scattering on the density distributions used. It is found that both the differential crosssection and polarization could provide a test to know which is the better choice of nucleon (especially neutron) density distributions. We also present the differential cross-sections for p- 6,9,11 Li scattering at 60 MeV and 72 MeV in order to assess the suitability of the obtained NN amplitude. It is found that the results are in reasonable agreement with the experiment up to only moderate scattering angles, leaving significant discrepancy at large scattering angles. Our calculations suggest the need of medium modifications in the NN amplitude, arising due to Pauli blocking.

Analysis of p-4,6,8He and p-6,8,9,11Li scattering at 700 MeV

“…scattering on the density distributions used, and compare (mainly) the results with our recent findings [1], in view of assessing the suitability of the nucleon density distributions for a given nucleus at relatively low and intermediate energies. For this purpose, we have used similar sets of density distributions as employed in [1].…”

“…scattering on the density distributions used, and compare (mainly) the results with our recent findings [1], in view of assessing the suitability of the nucleon density distributions for a given nucleus at relatively low and intermediate energies. For this purpose, we have used similar sets of density distributions as employed in [1]. Here it should be noted that the densities used in [3,13] involve two free parameters, whose values have been fixed by fitting the calculated cross sections to the experimental ones at ∼700 MeV.…”

“…The results of such calculations are presented in figures 1-4. Finally, it should be emphasized that since our main focus is to compare the behavior of density distributions of the target nuclei at low [1] and intermediate energies (present calculations), we involve only the free NN amplitude (table 1) without considering any density dependence in it.…”

“…In a recent article [1], the Glauber model was used to analyze the elastic scattering of protons from He and Li isotopes at 60 and 72 MeV, respectively. The results suggest that both the differential cross section and polarization could provide a test to reveal which is the better choice of nucleon (especially neutron) density distributions.…”

“…The NN amplitude is taken from the available NN scattering data. For the target nuclei, we use similar density distributions as used in [1]. Our main emphasis in this work is to study the sensitivity of the calculated differential cross sections for p- 4,6,8 He scattering on the density distributions used, and to compare the results with the recent findings [1] in light of assessing the suitability of nucleon density distributions for a given nucleus at relatively low and intermediate energies.…”