Asymptotic normalization coefficient for ⁸ Be → ⁷ Li+p from the ⁷ Li( ³ He,d) ⁸ Be reaction and astrophysical S factor for the radiative capture ⁷ Li(p,γ) ⁸ Be reaction

The astrophysical S-factor of the 7 Li(p,[Formula: see text]) 8 Be reaction has been studied at low energies with including an information about asymptotic normalization coefficient for the 7 Li+p[Formula: see text] 8 Be configuration. In order to do this, the differential cross section of the proton transfer reaction 7 Li( 3 He,d) 8 Be at energy of 24.3 MeV has been analyzed within the framework of the modified distorted wave Born approximation (MDWBA). The value of ANC for the 7 Li+p[Formula: see text] 8 Be(0[Formula: see text], E=0.0 MeV) configuration was derived to be 58.43±1.95 fm[Formula: see text]. The values of ANCs for the 7 Li+p[Formula: see text] 8 Be(2[Formula: see text], E=3.04 MeV) configuration were extracted to be 16.67±0.54 fm[Formula: see text] and 9.73±0.31 fm[Formula: see text] for total angular momentum [Formula: see text] and [Formula: see text], respectively. These ANC values were used in estimating the astrophysical S(E) factor of proton radiative capture by the 7 Li nucleus at astrophysically relevant energies within the framework of the modified R-matrix method. The value of the total astrophysical S factor of the 7 Li(p,[Formula: see text]) 8 Be reaction at zero energy was found to be [Formula: see text]=1.35 keV b. The reaction rate of the[Formula: see text]Li(p,[Formula: see text])[Formula: see text]Be process was calculated over the relevant temperature range of astrophysical interest.