Study of the ${}^7$Be($d$,${}^3$He)${}^6$Li* reaction at 5 MeV/u

Abstract

The measurement of the ${}^7$Be($d$,${}^3$He)${}^6$Li* transfer cross section at 5 MeV/u is carried out. The population of the 2.186 MeV excited state of ${}^6$Li in this reaction channel is observed for the first time. The experimental angular distributions have been analyzed in the finite range DWBA and coupled-channel frameworks. The effect of the ${}^7$Be($d$,${}^3$He)${}^6$Li reaction on both the ${}^6$Li and ${}^7$Li abundances are investigated at the relevant big-bang nucleosynthesis energies. The excitation function is calculated by TALYS and normalized to the experimental data. The $S$ factor of the ($d$,${}^3$He) channel from the present work is about 50$\%$ lower than existing data at nearby energies. At big-bang energies, the $S$ factor is about three orders of magnitude smaller than that of the ($d,p$) channel. The ($d$,${}^3$He) reaction rate is found to have a less than 0.1$\%$ effect on the ${}^{6,7}$Li abundances.

7 pages, 5 figures

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