Intermediate energy multiple scattering of particles by light α-cluster nuclei

Abstract

The survey of cluster models used for the description of the properties of nuclei was carried out. The interaction of intermediate protons with various odd and even nuclei is reviewed. The influence of the clusterization effects on the behavior of the elastic and inelastic scattering observables are demonstrated by using multiple diffraction scattering theory (MDST) and the α-cluster model with dispersion. The comparison of the calculations, based on two-and four-nucleon correlation models, have been performed. The elastic scattering of light nuclei from α-cluster nuclei is analyzed. The results given in this review suggest that the MDST variants based on cluster models seem to be rather attractive as compared with those based on the single-nucleon approximation. Such approaches, considering nucleon and light-nuclei scattering on α-clusters, are among the best examples of using Glauber's MDST, since they automatically include the internal nucleon-nucleon correlations both in the incident and target nuclei. Besides, α-clusters have zero spin and, in this case, the scattering amplitude does not involve explicit consideration of spin-spin effects. Moreover, these models often permit an accurate analytical calculation of the MDST series.

Model of multiple Dirac eikonal scattering of protons by nuclei

“…In our previous works (see Refs. 11,13,14), along with the usual variant of MDST, we considered its more sophisticated formulation with taking account of the effects of two-nucleon correlations through including the most essential intermediate excitations (IE) of the target nuclei as well as of the effects of the noneikonal corrections (NE) to the p-A amplitude. For this reason, in Fig.…”

“…In this case, the value of parameter κ was determined from the asymptotic behavior of the profile function Ω B (b) at b → ∞ (see, for example, Refs. 13,14), which leads to the value κ = κ pp k c /k where κ pp is the corresponding spin-orbit parameter in the pp-amplitude. According to concrete conventions of a used phase analysis, it may be κ pp = (3 + 4µ a )/4m 2 or κ pp = (3/(E c + m) + 2µ a /m)/2E c , where µ a = 1.79 is the anomalous magnetic moment of the proton.…”

Polarization of protons in the optical model

“…For example, the multiple proton scattering theory with "elementary" nucleon-nucleon amplitudes included in the calculations was used in [14], and the optical model with various microscopic optical potentials was applied in [15]. In [16] we introduced the approach based on the α-cluster model with dispersion, which allows us to describe a large amount of the experimental data for the elastic and inelastic scattering of protons by light nuclei from 9 Be to 24 Mg.…”