Estimation of radiative capture ¹³B(n, γ ₀₊₁)¹⁴B reaction rate in the modified potential cluster model*

Abstract

We discuss present attempts to employ the Modified Potential Cluster Model to describe the available experimental data on the 13B(n,γ0+1)14B total cross-sections. Estimative results on the M1 and E1 transitions from the n 13B scattering states to the ground and the first excited states of 14B are presented. The 1st resonance at Ex = 1. 275 MeV (1+) reveals both in cross-section and reaction rate. Within the variation of the asymptotic constant, the interval for the thermal cross-section of 5.1 – 8.9 mb is proposed.

Based on the theoretical total cross-sections at energies of 0.01 eV to 5 MeV, the reaction rate in the temperature range of 0.01 to 10T 9 is calculated. The ignition T 9 values of 13B(n,γ0+1)14B reaction depending on the 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.