TITLE:
Investigation of the Appropriate Partial Level Density Formula for Pre-Equilibrium Nuclear Exciton Model
AUTHORS:
Shafik Shakir Shafik, Ali Dawoud Salloum
KEYWORDS:
Partial Level Density; Pre-Equilibrium Model; Nuclear Reaction; Exciton Model; Equidistant Spacing Model; 56Fe; 90Zr
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.3,
September
20,
2013
ABSTRACT:
Ericson formula represents the first formula, which was
suggested to describe the partial level density (PLD) formula in
pre-equilibrium region of the nuclear reactions. Then a number of corrections
were added to this formula in order to make it more suitable to physical
meaning. In this paper, there are two aims to be done: the first aim is to study the correspondence between one and two-components
formulae in Ericson, Pauli, and pairing corrections; the second aim is
to compare and study the results of Comprehensive formula, which contents with all
corrections, with Ericson, Pauli, and pairing formulae. The Comprehensive
formula was suggested to simulate the reality. To achieve these aims the 56Fe and 90Zr nuclei were chosen and the results
showed that the difference between one and two-components formulae was too small which can be neglected. Furthermore, the results strongly recommended
that for cross section calculations of the nuclear reaction, one must use
Comprehensive formula rather than Pauli formula.