ISSN: 1813-0410

Author : Hadi Jasim, Mahdi

A Suggested Numerical Solution for the Master Equation of Nuclear ٍReaction

Ahmed Abdul-Razzaq Selman; Shafik Shaker Shafik; Mahdi Hadi Jasim

journal of kerbala university, Volume 4, Issue 3, Pages 271-282

Numerical solution for the master equation of the preequilibrium statistical model has been presented, assuming one-component Fermi gas model. This numerical method has been shown to give the same accuracy for the simple as well as the more advanced schemes. The present method showed fast convergence for a wide range of physical system parameters and it was applied for two reaction examples that include neutron and proton induced reactions with 54Fe nucleus at energies 20 and 80 MeV. Comparisons with standard earlier results indicated that the present method is proper for low reaction energies, but with worse accuracy at higher energies. The behavior of the present method was examined against the energy, exciton numbers, and time variation.