Microscopic study on proton elastic scattering of helium and lithium isotopes at energy range up to 160 MeV/nucleon.

Abstract

The proton elastic scattering data on 4;6;8 He and 6;7;9;11 Li nuclei at energies below 160 MeV/nucleon are analyzed using the optical model. The optical potential (OP) is taken microscopically, with few and limited fitting parameters, using the single folding model for the real part and high-energy approximation (HEA) for the imaginary one. Clear dependencies of the volume integrals on energy and rms radii are obtained from the results. The calculated differential and the reaction cross sections are in good agreement with the available experimental data. In general, this OP with few and limited fitting parameters, which have a systematic behavior with incident energy and matter radii, successfully describes the proton elastic scattering data with stable and exotic light nuclei at energies up to 160 MeV/nucleon. The cross sections' data of the proton elastic scattering of light nuclei are studied by the optical model potential that has been developed in phenomenological and microscopic approaches. The phenomeno- logical OP, which their parameters are adjusted by fitting to scattering experimental data, is successful in a wide region of incident energy. However, it gives a generalized description and does not include the nuclear structure information. In addition, it cannot give unique values of these parameters (1). The ambiguity of the OP is arises from in particular the existence of a large number of optical poten- tials describing equally well a given set of elastic scattering data (2). The microscopic OP based on the folding model is useful to decrease this ambiguity. A large amount of experimental data at energies below 160 MeV/nucleon are existed for the proton elastic scattering of the stable and exotic light nuclei. Most of these experimental data, and their references can be obtained from EXFOR database (3). In the present work, a microscopic analysis of the available proton elastic scattering data of these light nuclei, 4;6;8 He and 6;7;9;11 Li in the energy range below 160 MeV/nucleon is considered. The theoretical calculation is given in section 2, while the results of calculations are presented in section 3. The conclusions are given in section 4.