Abstract

The total nuclear reaction cross section is calculated considering the cases with and without medium effect by employing Coulomb modified Glauber model (CMGM) for interactions of projectiles 56Fe26, 84Kr36, 132Xe54, 197Au79, and 238U92 with nuclear emulsion detector (NED) nuclei at around 1 GeV per nucleon incident kinetic energy. These calculated nuclear reaction cross sections are correlated with the different target groups of the NED nuclei. The average value of various parameters is also calculated and compared with the corresponding experimental results. The number of shower particles emitted in an interaction is also calculated and showed good agreement with the experimental result. We observed that the total nuclear reaction cross section increases with increasing the target mass number in case of all the considered projectiles. In addition, it is shown that the average value of reaction cross section with nuclear medium effect is in good agreement with the experimental results for projectiles 56Fe, 84Kr, and 132Xe, although results of projectiles 197Au and 238U are not in agreement with the experimental observations. This study sheds some light on the energy dependence of the nuclear reaction cross section.

Highlights

  • The relativistic heavy-ion collision in the intermediate and high-energy domains has been extensively studied both theoretically and experimentally for a long time [1,2,3,4,5,6]; this study is highly interesting because of their important application and new research opportunities

  • Comparison results represent that introducing the nuclear medium effect is necessary for the Coulomb modified Glauber model for the descriptions of heavy-ion collision

  • It may be concluded that the Coulomb modified Glauber model (CMGM) model generally described the total reaction cross section on the mean free path of the projectiles considered in emulsion around the 1 GeV per nucleon, except for the heavy incident nuclei

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Summary

Introduction

The relativistic heavy-ion collision in the intermediate and high-energy domains has been extensively studied both theoretically and experimentally for a long time [1,2,3,4,5,6]; this study is highly interesting because of their important application and new research opportunities. We have calculated the total nuclear reaction cross section for the collision of various projectiles, by using Coulomb modified Glauber model such as 56Fe26, 84Kr36, 132Xe54, 197Au79, and 238U92 with different composition elements of the nuclear emulsion nuclei at incident energies Elab ∼ 1 GeV/n. In this model, for the reaction calculation, we consider the nuclear medium effect, because, in the medium, nucleon-nucleon (NN) interactions are in some cases different from the free space nucleon-nucleon interactions due to the effects of Pauli blacking and finite nuclear matter density [18]. We studied and described the mean free path and nuclear reaction cross section with the projectile mass number

Coulomb Modified Glauber Model
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Results and Discussions
Conclusions
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