FOLDING MODEL ANALYSIS OF ⁶He + ¹²C ELASTIC SCATTERING

Abstract

Elastic scattering of the two-neutron halo nucleus, 6 He, on 12 C target at 38.3 and 41.6 MeV/nucleon has been analyzed in the framework of the double-folding optical model. Real double-folded potentials based on the realistic density-dependent DDM3Y and JLM effective nucleon-nucleon interactions are generated using different forms of the nuclear matter density distribution of 6 He. The imaginary optical potentials are taken in the conventional Woods-Saxon form. The bare (unnormalized) real folded potentials derived from the JLM interaction are more successful in reproducing the data at both energies than those derived from the DDM3Y interaction. The effect of contribution of the dynamic polarization potential is also studied. A semimicroscopic approximation is proposed to simulate this potential by introducing a repulsive real part extracted from the generated folded potential. Fits to data have been slightly improved by considering this approximation.

An Investigation of 6he+12c Elastic Scattering Using Microscopic Cluster Model

“…Within the optical limit Glauber model, the total reaction cross section, σ R is expressed as [30][31][32]. (15) where T (b) is the transparency function of the collision at impact parameter b. (16) The phase χ(b) is simply related to the nucleon-nucleon profile function γ NN by: (17) Calculations are carried out by evaluating Eqs.…”

“…(16) The phase χ(b) is simply related to the nucleon-nucleon profile function γ NN by: (17) Calculations are carried out by evaluating Eqs. (15)(16)(17) numerically. Important information that one can obtain from the elastic scattering is the volume integral Ju .…”

“…The study of light systems with very weaklybound and neutron-rich exotic nuclei has been of particular interest. In order to obtain sufficient information about their weakly-bound nature, internal structure, the large radial extent in their densities and the dynamics of its interactions, most of studies have performed both experimentally and theoretically [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18].…”

“…There are some uncertainties concerning the density of6 He. We have several choices to study the effect caused by the halo structure of6 He[6][7][8][9][10][11][12][13][14][15][16]. For this reason, three different forms of the ground state density distribution are used in the folding calculation.…”

Optical model analysis of p+6He scattering over a wide range of energy

“…Traditionally, proton scattering has been one of the best means by which the matter densities of the nucleus may be studied. Therefore, in order to investigate the structure of 6 He, several elastic scattering and interaction cross sections measurements have been performed for the p + 6 He reaction at energies of 721 [13], 717 [14], 297 [15], 151 [16,17], 71 [8,12,18], 41.6 [8,19], 40.9 [8,20], 38.3 [21], 36 [23] and 24.5 [23,24] MeV/nucleon. These data have been analyzed either in the framework of the Glauber diffraction theory [25,26] or using the standard optical model through the single folding (SF) approach based upon the energy-and density-dependent JLM [21,22,24], the SBM [27] or the DDM3Y [28] effective nucleonÄnucleon (N N ) interactions.…”