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

Abstract

A new modified semi-empirical formula including non-elastic scattering and Coulomb effects for the (α,n) reaction cross-section was obtained. The available experimental data were used to get the (α,n) reaction cross-section systematics. The dependence between the cross-section and asymmetry term was discussed for (α,n) reaction at 18.5 ± 3 MeV energies classifying the target nuclei into odd Z-even N and even Z-even N . The coefficients of determination (R 2 ) for all classifications were detected to exhibit the amount of relation between asymmetry term and cross-sections obtained from the modified semi-empirical formula with new coefficients.

The Comparison of (n,p), (n,α), (n,2n) and (α,n) Reaction Cross-Sections for 7Li and 9Be Target Nuclei

“…The experimental data for (n,2n) cross-section value taken from EXFOR [27] is 566 AE 84 mb and it is only close to the cross-section value obtained from the formula of Tel et al [29]. Newly modified formulas including non-elastic scattering and coulomb effects for (a,n) reaction cross-sections have been proposed by Akça et al [16]. The interaction reaction cross section of 7 3 Li(r int; 7 3 Li Þ is approximately 554 mb for alpha projectile and 7 Li target nuclei, and r int; 9 4 Be % 608 mb for alpha projectile nucleus and 9 Be target nuclei.…”

“…These formulas are given for (n,p), (n,a) and (n,2n) reactions in Tables 1, 2 and 3, respectively. Newly modified empirical and semi-empirical formulas including non-elastic scattering and coulomb effects for (a,n) reaction cross-section at 18.5 ± 3 MeV for the nuclei of mass number in the range of 41 A 209 was proposed by Akça et al [16]. In Tables 1, 2, 3, and 4, first columns give author names who proposed semi-empirical formulas for (n,p), (n,a) and (n,2n) cross sections, respectively.…”

“…Systematics of cross-sections has a special importance as an additional tool for the cross-section evaluation [1][2][3]. Many studies on systematics of cross-sections have been done in the literature [4][5][6][7][8][9][10][11][12][13][14][15][16]. Formulas obtained from this systematics have been used in the present study for Li and Be target nuclei irradiated with neutrons and alphas.…”

“…Neutron and proton distributions of Li and Beisotopes were studied using the new Skyrme-force parameters by Baldik et al [22]. Tel et al [23] made a study of [8][9][10][11][12][13][14][15][16][17][18] Be isotopes using as a neutron multiplier in reactor design using HartreeFock approximation. The calculations of double-differential neutron emission cross sections for 9 Be target nucleus at 14.2 MeV neutron energy has been investigated by Ş ahan et al [24].…”

Proton bombarded reactions of Calcium target nuclei

“…Tel et al [5] suggested that the empirical cross section formulae including proton inelastic cross section [13][14][15][16] and Coulomb effects of reactions induced by proton can be expressed as follows,…”