Microscopic study of total reaction cross-sections for proton on deuteron, 3 He and 4 He at energy range 20 to 50 MeV

M R Arafah

doi:10.17485/ijst/2011/v4i6.1

Abstract

Working within the framework of Coulomb modified Galuber model and using harmonic oscillator shell model target density, the proton total reaction cross-sections on the deuteron, 3 He and 4 He have been analyzed in the beam energy range 20 to 50 MeV. A very satisfactory agreement with experimental data for p-deuteron and to some extent for p3 He have also been achieved. For p4 He, the calculated reaction cross-section becomes negative at lower energies which is absolutely unphysical. Keywords: Coulomb modified Glauber model; Microscopic analysis; Harmonic oscillator shell model density PACS: 25.40.Cm; 25.40.Dn; 24.10.Ht; 25.70Bc

Highlights

In the study of nucleon scattering from nuclei, the total reaction cross-section σ R is one of the most basic nuclear observables which provides us some important information such as the size of nucleus, nuclear structure and density distribution of nucleons in nucleus (Arafah, 2010)
It is found that the Glauber model, though based on high energy approximation, works well down to energy about 20 MeV/nucleon provided that the model is suitably modified to account for the deviation of projectile trajectory due to Coulomb field (Charagi & Gupta, 1990; Madani, 2002)
Proton total reaction cross-sections on the target nuclei deuteron, 3He and 4He have been calculated with the method described in the last section and the results are illustrated in the Figs. 1-3 with full curves

Summary

Introduction

In the study of nucleon scattering from nuclei, the total reaction cross-section σ R is one of the most basic nuclear observables which provides us some important information such as the size of nucleus, nuclear structure and density distribution of nucleons in nucleus (Arafah, 2010). Extensive analyses of proton reaction cross-section have been performed in a wide range of energies and mass numbers. In most of these analyses generally, the effort is devoted to the determination of either general parameterization of σ R (Carlson et al.,1994; Wellisch & Axen, 1996) or global nucleon optical potential (Auce et al, 2005). Coulomb modified Glauber model (Charagi & Gupta, 1990) has been applied by Alvi (2007) to derive an analytical expression for proton reaction cross-section. Almost in all the application of Glauber model to study the proton σ R , the optical limit approximation which is valid for sufficiently large mass nuclei, has been used

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Results

Conclusion