  Within the framework of the modified potential cluster model with a
classification of orbital states according to Young diagrams, the possibility
of describing experimental data for total cross sections of the neutron
radiative capture on 11B to the ground state of 12B at energies of 10 meV (1
meV = 10-3 eV) to 7 MeV was considered. It was shown that, taking into account
only the E1 transition from the S state of the n11B scattering to the ground
state of 12B, it is quite possible to explain the magnitude of the known
experimental cross sections at energies of 25.3 meV to 70 keV. Furthermore, on
the basis of the total cross sections of 10 meV to 7 MeV, but excluding
resonances above 5 MeV, the reaction rate is calculated in the temperature
range of 0.01 to 10.0 T9. It is shown that the inclusion of low-lying resonance
states makes a significant contribution to the reaction rate, starting already
with temperatures of 0.2-0.3 T9.
