A New Comparison of Empirical and Semi-empirical Formulae for the (n, 3He) Reaction Cross-sections at 14–15 MeV

Empirical formula on (n, 3 He) reaction cross sections at 14.6 MeV neutrons

“…In previous investigations on systematic behavior of the excitation functions the (n, 3 He) nuclear reactions, several empirical and semi-empirical formulae have been proposed for example by Lishan and Yuling (1992), Atasoy and Dökmen (1995), Qaim et al (1980), Yettou and Belgaid (2014), Broeders and Konobeyev (2007), Aydın et al (2008b), and Bölükdemir et al, 2010. Qaim (1978 suggested an empirical formula for the nuclear excitation functions of the (n, 3 He) reactions as given below…”

“…On the other hand, the semi-empirical formulae are based on the analytical expressions for calculation of particle emission within the frame of the evaporation and preequilibrium exciton models (Aydın et al 2008a). Moreover, numerous empirical and semi-empirical formulae with different parameters for various nuclear reactions have been proposed by several authors (Aydın et al, 2008a(Aydın et al, , 2008bTel, 2014a, 2014b;Belgaid et al, 2005;Goyal and Kishore, 2012;Konobeyev and Korovin, 1995;Challan and Fayez-Hassan, 2014). In this work a new empirical formula has been presented to describe the (n, 3 He) reaction cross sections at 14.6 MeV energy.…”

Newly developed semi-empirical formulas for (p,α) at 17.9 MeV and (p, np) at 22.3 MeV reaction cross-sections

“…This formula depends on the asymmetry parameter, s = (N − Z)/A, and has the pairing effect on the binding energy systematics of nuclear shell model. Tel et al also obtained a new appropriate coefficient by using this formula for (n, 2n), (n, α), (n, t) and (n, d) reactions [19][20][21][22][23][24]. Betak et al have applied this formula for (n, p) reactions and have found agreement with odd-A nucleus in the latest experiment for 112−124 Sn thin target [25].…”

“…For the empirical and semi-empirical formulas, details on the results of the best fitting parameters, the values of χ 2 and correlation coefficient R 2 can be found for (n, charged particle), (n, 2n), (p, α) and (p, np) reactions in refs [7,[10][11][12][19][20][21][22][23][24]30]. …”