Systematics of (n, p) and (n,?) cross sections

A new empirical formula for 14–15 MeV neutron-induced (n, p) reaction cross sections

“…A systematic experimental study of 14 MeV neutron-induced charged-particle reaction cross sections such as σ (n, p), σ (n, t) and σ (n, α) has been carried out over the years for a large number of nuclei [2][3][4][5][6]. A number of empirical and semi-empirical formulae with different parameters for cross section calculations of the reactions (n, p), (n, α) and (n, 2n) at different neutron energies have also been proposed by several authors [6][7][8][9][10][11]. For example, Korovin and Konobeyev [2] proposed a semi-empirical formula derived on the basis of analytical expressions for evaluation of proton spectrum within the frame of pre-equilibrium exciton and evaporation models.…”

“…In this study, we present a new empirical formula by modifying the formula of Levkovskii with the new parameters for the calculations of (n, p) reaction cross sections at 14-15 MeV neutron incident energy. The (n, p) reaction cross sections were calculated and the results of the best fitting parameters were compared with values obtained using relations proposed by Levkovskii [8], Kumabe and Fukuda [14], Badikov et al [16] and Konno et al [15].…”

Studies in Low-Energy Nuclear Science

“…II.11). Detector efficiency was measured using the 27 Al(d, n) 28 Si reaction which has been carefully measured [23].…”

“…Finally, stopping target spectra have less structure, making it possible to use the spectrum to calibrate detectors with different energy resolutions. Some time ago, cross sections for the 27 Al(d, n) 28 Si reaction were published [23]. These results were obtained with a stopping target at a bombarding energy of 7.44 MeV.…”

“…It has long been known [28,29] that cross sections for (n,p) and (n,α) reactions measured at 14 MeV can be fit with the formula exp[α + βS], where S is (N −Z)…”