Estimation of radiative capture 13B(n, γ 0+1)14B reaction rate in the modified potential cluster model* *Supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan (AP09259174)

Abstract

We discuss current attempts to employ the modified potential cluster model to describe the available experimental data on the 13B(n, γ 0+1)14B total cross-sections. The estimated results of the M1 and E1 transitions from the n 13B scattering states to the ground and first excited states of 14B are presented. The 1st resonance at E x = 1. 275 MeV (1+) is revealed in both the cross-section and reaction rate. Within the variation in the asymptotic constant, a thermal cross-section interval of 5.1 – 8.9 mb is proposed. Based on the theoretical total cross-sections at energies of 0.01 eV to 5 MeV, we calculate the reaction rate in the temperature range of 0.01 to 10T 9. The ignition T 9 values of the 13B(n, γ 0+1)14B reaction depending on a neutron number density of ~ 1022 cm−3 are determined. The radiative neutron capture reaction rates on the boron 10-13B and carbon 12-14С isotopes are compared.