2023 Impact factor 2.6
Hadrons and Nuclei

Eur. Phys. J. A 12, 405-411 (2001)

Modified Glauber model for the total reaction cross-section of $\chem{^{12}C +{} ^{12}C}$ collisions

M.Y.H. Farag

Physics Department, Faculty of Science, Cairo University, Cairo, Egypt


(Received: 26 January 2001 / Revised version: 30 July 2001 Communicated by P. Schuck)

Glauber's theory has been adopted to calculate the total heavy-ion reaction cross-sections at high energies. At relatively low energies, Glauber's total reaction cross-section has been modified in order to take into account the Coulomb field effect and is called modified Glauber model I. In addition to the Coulomb field effect, the nuclear effect has also been taken into account in the Glauber model and is called modified Glauber model II. An analytical expression for the transparency function for heavy-ion reactions, involving the nuclear densities of the colliding ions and the nucleon-nucleon cross- section, has been obtained within the framework of the modified Glauber models I and II. The transparency and the total reaction cross-sections of the 12C + 12C collisions are calculated at different bombarding energies. The obtained results are in good agreement with the experimental data and with previous theoretical calculations.

24.10.Ht - Optical and diffraction models.
24.10.Lx - Monte Carlo simulations (including hadron and parton cascades and string breaking models).
24.60.Dr - Statistical compound-nucleus reactions.
25.70.Gh - Compound nucleus.

© Società Italiana di Fisica, Springer-Verlag 2001