Abstract. The systematics of cross sections for 14 MeV neutron induced (n, p), (n, d), (n, t), (n, 3He) and (n, c0 reactions are studied within a simple evaporation model. Using few parameters, global prescriptions are obtained giving the cross sections in terms of the parameter The study of the systematic behaviour of the cross-section of the (n,p) reaction around 14MeV incident energy [1][2][3][4][5][6][7] as well as other neutron-charged particle reactions such as the (n,a), (n,t) and (n, 3He) reactions [1,[7][8][9] has received much attention in recent years. Several approximate formulae describing these systematics were obtained by fits to the experimental data over a wide range of nuclei. Most of these expressions show a depenence of the cross section on the relative neutron excessUsing the evaporation model, we showed [5,6] that the (n, p) cross section, as is reasonably expected, is directly related to the reaction Q-value, the Coulomb barrier and the nuclear temperature (a level density information) and moreover we found that the dependence on Q leads to a dependence on the parameter p =
(N-Z+I)/A instead of the generally used parameter (N-Z)/A.This can be generalized to other neutron-charged particle cross sections and is presented in the following. To show this, we write the (n, a) cross section for the emission of the charged particle a in terms of the decay widths as:where o-~ is the reaction cross section, ~ the charged particle decay width and Got the total decay width given by:Got=Fn+Fp+F~+ "'" (2) and which can be well approximated at the energy of 14 MeV by:The decay width F~ for the emission of particle a in the process C~a +A is related to the emission rate of that process bywhere ea is the energy of the emitted particle. where G, Ia, k~ are the kinetic energy, the spin and the wave number of the particle a respectively, o-a is the compound nucleus formation cross section and mA(E*) is the level density of the residual nucleus A at an excitation energy E* and similarly for ~oc(E*).