Investigating the rate of $^{10}$Be(n,$\gamma$)$^{11}$Be radiative capture reaction within the FRDWBA framework

Abstract

This study examines the radiative capture of a neutron by $^{10}$Be using the Coulomb dissociation approach within the FRDWBA theory. We analyze the elastic Coulomb breakup of $^{11}$Be on a $^{208}$Pb target at 72 MeV/A to determine the photodisintegration cross-section and radiative capture cross-section. Utilizing the Maxwell-averaged velocity distribution, we calculate the resulting radiative neutron capture reaction rate for the $^{10}$Be(n,$\gamma$)$^{11}$Be reaction. Comparative analyses are conducted with experimental data, theoretical results from direct radiative capture methods, and transfer reaction calculations. Additionally, we contrast our findings with the existing $^{10}$Be($\alpha$,$\gamma$)$^{14}$C reaction rate and conclude the dominance of neutron capture over $\alpha$ capture by $^{10}$Be.