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.

Comments: 20 pages, 5 figures, accepted for publication in The European Physical Journal Special Topics "Nuclear Astrophysics: Recent Progress in Understanding Element Formation in the Universe"