Effect of Excitation Energy and Mass number on Most probable exciton number

Exciton model describes the excitation of particles in pre-equilibrium region of nuclear reaction by exciton. In pre-equilibrium region there is a small probability for occurring emission and the number of excitons be the probability of the emission of it possible more is called most probable exciton number MPEN. In this paper the MPEN formula was derived for protons and neutrons separately and so MPEN formula derived with taking into account the non equidistant spacing between the energy states. The MPEN was studied with the mass number where it is noticed the MPEN increases with increasing the mass number. Also, MPEN studied for different isotopes of Al, the MPEN increases with increasing mass number of isotopes. MPEN for neutron is compared with that of protons and found that the MPEN for neutrons is larger than that of protons. MPEN in case of one component is compared with MPEN of proton and neutron it is found that the MPEN of one-component is greater than the MPEN for both protons and neutrons. Finally the MPEN in case of equidistant spacing model ESM is compared with that of non equidistant spacing model non-ESM where it is noticed the MPEN of ESM is greater than that of non-ESM.