Semi-empirical systematics of (n,p) cross sections for 14.5 MeV neutrons

Systematics studies of (n,α) reaction cross sections at 14.5MeV neutrons energy

“…we checked the behaviour of these terms against the ratio r n,a /r R for 120 nuclei (Figs. 1-3), where the experimental values of r n,a cross sections were taken from EXFOR data compilations [2,4, and were presented in Table 1. The values of r R were calculated with Eq.…”

“…(11). In our search for a formula, we kept the partition of the nuclei into two groups with Z 6 50 and Z > 50 as proposed by Belgaid and Konobyev [2,4]. Fig.…”

“…Table 1 The experimental (n, a) cross sections for 14.5 MeV neutrons r exp ± Dr exp , the calculated cross sections r cal through Eq. (13) with parameters from Table 2 and ((r exp À r cal )/D r exp ) 2 …”

“…However, since these 14 MeV neutron induced cross sections for different nuclei vary rather smoothly with their N and Z values, several semi-empirical relations have been proposed, for example, to systematise the (n, p) and (n, a) reactions [1][2][3][4]. The relation for the (n, a) reaction proposed by Belgaid and Asghar [2] with five parameters and based on the evaporation models and the droplet model, is at present the best of all the existing formulas, because it results in the lowest value of v 2 , when used in fitting the (n, a) experimental data of different nuclei.…”

“…The relation for the (n, a) reaction proposed by Belgaid and Asghar [2] with five parameters and based on the evaporation models and the droplet model, is at present the best of all the existing formulas, because it results in the lowest value of v 2 , when used in fitting the (n, a) experimental data of different nuclei. This relation is an improvement on the earlier best formula set up by Konobeyev [4].…”