Folding model analysis of proton scattering from mirror nuclei 18Ne and 18O

Abstract

The elastic and inelastic scattering of protons from mirror nuclei 18 Ne and 18 O are studied in a folding model approach. For comparison, two different effective interactions are folded with Hartree-Fock densities to obtain the nuclear interaction potentials. Both of them provide equivalent descriptions to the data and the deformation parameters extracted from inelastic scattering are reasonable. The density dependence parameters obtained from nuclear matter calculations and used for present analysis also provide a good estimate for the nuclear mean free path. The present formalism unifies radioactivity, nuclear matter and nuclear scattering.

From nuclear reactions to compact stars: A unified approach

“…These calculations provide reasonable estimates of half-lives for the observed proton [15], α [16][17][18][19] and cluster [20] radioactivities. Folding model potentials using this effective interaction provide excellent descriptions for elastic and inelastic scattering and the nuclear deformation parameters extracted from inelastic scattering of protons [21,22] agree well with other available results.…”

Calculations of 6He + p elastic-scattering cross-sections using folding approach and high-energy approximation for the optical potential

“…Along this line we should mention the Ref. [75] in which a microscopical pseudo-folding potential (without accounting for the exchange) V micro = (N R + iN I )V f olding was used for calculations of p+ 18 Ne and p+ 18 O scattering at energies 24.5 and 30 MeV/N. It was shown a good agreement with the data with N I = 0 for 18 Ne and N I = 0.006 for 18 O.…”

Cluster radioactivity in very heavy nuclei: a new perspective

“…The microscopic nuclear interaction potential is calculated by folding the density distributions of the emitted and daughter nuclei with density dependent M3Y effective interaction (DDM3Y). The DDM3Y effective nucleon-nucleon (NN) interaction used here was peviously used successfully for elastic and inelstic scattering of protons [6,7], proton radioactivity [8] and α radioactivity [9,10] whose density dependence was obtained from nuclear matter calculations [11]. The cluster preformation factors are extracted from the calculated and * E-mail: trr1@rediffmail.com; E-mail: jagat.su˙ph@yahoo.in; Email: dnb@veccal.ernet.in the measured half lives of cluster radoactivity and its systematics are studied.…”

“…The density dependence parameters have been fixed by reproducing the saturation energy per nucleon and the saturation density of spin and isospin symmetric cold infinite nuclear matter. Although the density dependence parameters for single folding can be determined from the nuclear matter calculations and used successfully for proton radioactivity [8] and scattering [6,7], the transition to double folding is not straightforward. The parameter β can be related to mean free path in nuclear medium, hence its value should remain same ∼ 1.6f m 2 as obtained from nuclear matter calculations [11] while the other constant C which is basically an overall normalisation constant may change.…”

“…Using DDM3Y effective interaction the saturation conditions can be fulfilled and in turn the constants of density dependence can be obtained from the saturation conditions of the cold symmetric nuclear matter. Hence, in the present case the nuclear potentials are not renormalised but the same density dependent effective interaction DDM3Y is used whose density dependence was obtained from nuclear matter calculations based on Hartree or mean field assumption [11] and was used quite successfully for proton scattering [6,7], proton radioactivity [8] and α radioactivity [9,10,18]. Present calculations yield constants c 1 = -0.38 × 10 −3 , c 2 = 2.56 from a very poor quality of fit and c 3 = 0.028, c 4 = 2.10 from somewhat better fit, which are quite different from reference [19].…”