Eur. Phys. J. A 12, 405-411 (2001)
Modified Glauber model for the total reaction cross-section
of
collisions
M.Y.H. Farag Physics Department, Faculty of Science, Cairo University, Cairo, Egypt myhfarag@hotmail.com
(Received: 26 January 2001 / Revised version: 30 July 2001 Communicated by P. Schuck)
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.
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
