Cluster structures inBe10from theLi7(α,p)10Be reaction

Three-nucleon transfer by the ${}_{}{}^7{}_{}{}^{}\mathrm{Li}$(α,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 $1^{\mathrm{-}}$ 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.