Coulomb dissociation ofLi9and the rate of the8Li(n,γ)9Lireaction

Abstract

We calculate the Coulomb dissociation of $^{9}\mathrm{Li}$ on Pb and U targets at 28.5 MeV/A beam energy within a finite range distorted wave Born approximation formalism of the breakup reactions. Invoking the principle of detailed balance, these cross sections are used to determine the excitation function and subsequently the rate of the radiative capture reaction ${}^{8}\mathrm{Li}(n,\ensuremath{\gamma}){}^{9}\mathrm{Li}$ at astrophysical energies. Our method is free from the uncertainties associated with the multipole strength distributions of the $^{9}\mathrm{Li}$ nucleus. The rate of this reaction at a temperature of 10 K is found to be about 2900 ${\mathrm{cm}}^{3}$ ${\mathrm{mole}}^{\ensuremath{-}1}$ ${\mathrm{s}}^{\ensuremath{-}1}$.