Study of p-⁴Hetotal reaction cross-section using Glauber and Coulomb-modified Glauber models

Abstract

The total nuclear reaction cross-section σ R for p-4 He in the energy range from 25 MeV to 1000 MeV is calculated within Glauber and Coulomb-modified Glauber models. The Coulomb-modified Glauber model (CMGM) is introduced via modification of the Coulomb trajectory of the projectile from a straight line, and calculation of the effective radius of interaction. The effects of in-medium nucleon-nucleon (NN) total cross-section, phase variation, high order momentum transfer component of nucleon-nucleon elastic scattering amplitude and Pauli blocking are studied. It is pointed out that the phase variation of the nucleon-nucleon amplitude plays a significant role in describing σ R with γ = −1.6 fm 2 at in-medium nuclear density = 0 and γ = −2 fm 2 at = 0.17 fm −3 in the whole energy range. A remarkable fit to the available experimental data is obtained by invoking Pauli blocking and high order momentum transfer of nucleon-nucleon (NN) elastic scattering amplitude for Ep < 100 MeV. Int. J. Mod. Phys. E 2014.23. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ DAVIS on 02/02/15. For personal use only. I. M. A. Tag El-Din, M. M. Taha & S. S. A. Hassanthree decades as well as in the recent years, the total reaction cross-section, σ R , for hadron-nucleus (hA) and nucleus-nucleus (AA) collisions can be considered as a center of attraction of experimental 1-4 and theoretical 5-11 studies. The total reaction cross-section played an important role in a number of problems, such as, nuclear transmutation of long lived radioactive waste into shorter lived products using acceleration driven system (ADS), safety assessment, medical therapy and astrophysics including nucleosynthesis in the early universe for aspects of stellar evolution. [12][13][14] The Glauber multiple scattering model (GMSM) 15 provides a convenient framework for calculating hA integrated cross-sections at intermediate and high energies with invoking different nuclear medium effects. 10,[16][17][18][19] Since evaluation of the complete multiple scattering terms of GMSM is a prohibitively difficult task in most hA and AA collisions. So, the optical limit approximation (OLA) of GMSM, which represents the leading term of the total nuclear phase shift function is a common choice that has been successfully applied for describing hadron scattering from both stable and exotic nuclei. 20-25 It is found that the OLA works reasonably well down to energies of about 30 MeV/nucleon provided that it is suitably modified to account for the deviation of the projectile trajectory due to the Coulomb potential, 26,27 this is known as the Coulomb-modified Glauber model (CMGM).It is well known that a satisfactory agreement for the total reaction crosssections, in comparison with the experimental data for proton-nucleus and AA scattering within OLA was obtained at intermediate and high energies. 28,29 However, these theoretical efforts suffer from some discrepancies, through the low energy range due to the physical effects, which were not included in these investig...