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

Abstract

In this study, we have investigated the asymmetry term effect for the (p, α) and (p, np) reaction cross-sections and obtained new coefficients for the (p, α) and (p, np) reaction cross-sections at 17.9 and 22.3 MeV energies. We have suggested semi-empirical formulas including the non-elastic effects of optical model found by fitting two parameters for proton-induced reactions. The coefficients were determined by least-square fitting method. The obtained cross-section formulas with new coefficients have been discussed and compared with the available experimental data.

Particle induced nuclear reaction calculations of Boron target nuclei

“…The empirical cross section formula is including proton inelastic cross section and Coulomb effects of reactions induced by proton can be expressed suggested in many studies [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] as follows:…”

“…Where σ p-ne and σ Coul (in unit of mb) are the proton non-elastic and Coulomb effect cross sections, respectively [9]. The coefficients C and a have been determined from only empirical formulae.…”

Semi-Empirical Formula with New Coefficients of the (α,n) Reaction Cross-Section

“…Besides, they investigated Coulomb and pairing effects for (p,α) at 17.9 MeV, (p,np) at 22.3 MeV, (p,nα) at 24.8 and 28.5 MeV and presented a new formula. That novel formula was derived by taking advantage of Levkovskii's original formula with asymmetry term [11,12].…”

“…A great number of empirical and semi-empirical crosssection formulae have been proposed for different target nuclei irradiated with uncharged neutron and charged particle at the specific energies [1][2][3][4][5][6][7][8][9][10][11][12]; however, there is not any study on cross-section systematics of alphainduced reactions. As a result of alpha-induced reactions, in particular the production of significant medical radioisotopes used in nuclear medicine occurs [13][14][15].…”

Proton bombarded reactions of Calcium target nuclei

“…Weisskopf-Ewing and the full exciton models were used for equilibrium and for pre-equilibrium calculations, respectively. The excitation functions for 40 Ca target nuclei reactions (p,α), (p,n), (p,p) have been calculated using the semiempirical formula Tel et al [5]. …”