# PhD project: Calculations of the cross sections for stable and exotic light nuclei

**Project title:** “Calculations of the cross sections for stable and exotic light nuclei”, PhD program.

**Dates and places of research:** Cairo University, Egypt, 2011-2014.

**Sources of funding:** Financial support from Yemeni Ministry of Higher Education and Scientific Research

**Role in the project:** the main researcher.

**Advisors:** Prof. Dr. M. Y. H. Farag, E.H. Esmael

**Examiners:** Prof. Dr. V. K. Lukyanov, JINR, Dubna, Russia; Prof. Dr. Angela Bonaccorso, INFN, Pisa, Italy.

**Output of the project: **A** **Dissertation** **and** **8 articles as follow:

**H.M. Maridi**, “*Proton scattering of helium isotopes using an energy-dependent folded**potential”*,**AIP Conf. Proc.****1976**, 020004 (2018).**H.M. Maridi**, M.Y.H. Farag, and E.H. Esmael, “*Energy-dependent microscopic optical potential for p+*^{9}*Be elastic scattering”*,**AIP Conf. Proc.****1742**, 030011 (2016).**H.M. Maridi**, M.Y.H. Farag, and E.H. Esmael, “*Analysis of proton scattering of stable and exotic light nuclei using an energy-dependent microscopic optical potential*”,**Eur. Phys. J. WoC****107**, 08007 (2016).M.Y.H. Farag, E.H. Esmael, and

**H.M. Maridi**, “*Analysis of proton-*^{9,10,11,12}*Be scattering using an energy, density-, and isospin-dependent microscopic optical potential*”,**Phys. Rev. C****90**, 034615 (2014).M.Y.H. Farag, E.H. Esmael, and

**H.M. Maridi**, “*Energy-dependent microscopic optical potential for scattering of nucleons on light nuclei*”,**Eur. Phys. J. A****50**, 106 (2014).M.Y.H. Farag, E.H. Esmael, and

**H.M. Maridi**, “*Microscopic study on proton elastic scattering of helium and lithium isotopes at energy range up to 160 MeV/nucleon*”,**Eur. Phys. J. WoC****66**, 03025 (2014).M.Y.H. Farag, E.H. Esmael, and

**H.M. Maridi**,*Elastic interaction of protons with stable and exotic light nuclei*”,**Phys. Rev. C 88**, 064602 (2013).M.Y.H. Farag, E.H. Esmael, and

**H.M. Maridi,**“*Elastic Microscopic study on proton elastic scattering of light exotic nuclei at energies below than 100 MeV/nucleon*”,**Eur. Phys. J. A 48**, 154 (2012).

**Description**

**Description**

This work presents a microscopic study for the elastic scattering of protons with stable and exotic light nuclei, namely, ^{4,6,8}He, ^{6,7,9}^{,11}^{,}Li, and ^{9,10,11,12}Be, at a wide energy range starting from a few MeVs/nucleon up to 200 MeV/nucleon. The optical model is used to calculate the reaction cross sections and the angular distributions for elastic scattering cross sections and analyzing powers. The real and imaginary parts of the optical potential (OP) are given by the single-folding and the high-energy approximation models, respectively. The microscopic densities, the Green’s function Monte Carlo and the large-scale shell model, are used. The renormalization factors are introduced to the OP and adjusted to fit the experimental data.

The calculated differential cross sections of the elastic scattering and reaction cross sections are in good agreement with the data. The surface OP is found to be important to fit the data of the exotic nuclei scattering. At energies larger than 50 MeV/nucleon, the eikonal approximation is successfully applied by using the same OP. Similar energy and mass dependencies of the calculated volume integrals are found for all the considered reactions. The volume integrals are parameterized as functions in energy which is used to construct an energy-dependent microscopic OP with no free fitting parameters. This local OP succeeds to fit the data and can be used to predict the cross-section data at energies at which no data exist.