Abstract
Three-nucleon transfer by the $^{7}\mathrm{Li}$(\ensuremath{\alpha},p${)}^{10}$Be reaction at 65 MeV has been carried out with good resolution. A cluster model is compared to the data with the aid of zero-range distorted wave Born approximation reaction calculations, finding consistent spectroscopic factors for low-lying K=${0}^{+}$ and ${1}^{\mathrm{\ensuremath{-}}}$ bands. Large cluster spectroscopic factors are found for the states at 17.74 and 18.54 MeV that serve as resonances for reactions between $^{3}\mathrm{H}$ and $^{7}\mathrm{Li}$ at low energies of astrophysical importance. A research for states very near threshold found no transitions that significantly alter the important astrophysical reaction rate.
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