Modified Glauber model for the total reaction cross-section of 12C + 12C collisions |
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Authors: | MYH Farag |
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Institution: | (1) Physics Department, Faculty of Science, Cairo University, Cairo, Egypt, EG |
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Abstract: | 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.
Received: 26 January 2001 / Accepted: 15 October 2001 |
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Keywords: | PACS 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 |
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