Systematic Analysis of Proton Projectile Total Reaction/Interaction Cross-Section at Various Energies

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Lamessa Fekede Negero

Abstract

The propagation and interaction of high-energy heavy ions in matter is a topic of great attention and action right now. We define the total reaction cross-section for nucleons incident on a nucleus as the total minus the elastic cross-sections: σR = σT − σel which is the most basic observable. The g-folding optical modal can be reproduced using a simple functional form with three parameters (lo, k, a). The heavy-ion total reaction cross-section is reproduced using same functional form, revealing that parameter lo behaves similarly to nuclear matter radii. The overall reaction cross section for proton-nucleus is computed as a function of the target nucleus' mass and neutron excess, as well as the proton incident energy. In this paper as the function of the mass and neutron excess of the target nucleus and the proton incident energy the total reaction cross-section is calculated for proton-nucleus. The interaction cross-section for neutron also calculated. Many types of nuclear reaction have been expressed and the total reaction cross-section is also determined for proton projectile at 65MeV and for interaction cross section at energy of 30, 60 and 200MeV. The result was compared with experimental data and gives a better agreement. The angular momentum dependence of nucleon function is the major reason to be mentioned.

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