What question did this study set out to answer?

This research aims to analyze the asymptotic normalization coefficient and astrophysical S factor for the Li and proton interactions.

March 8, 2026

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

Key Points

This research aims to analyze the asymptotic normalization coefficient and astrophysical S factor for the Li and proton interactions.
Differential cross section analyzed using modified distorted wave Born approximation (MDWBA) at 24.3 MeV.
Asymptotic normalization coefficients (ANC) derived for various configurations of Li+p.
Astrophysical S factor estimated using modified R-matrix method over relevant energy temperatures.
ANC value for 7 Li+p(0, E=0.0 MeV) configuration was found to be 58.43±1.95 fm.
Total astrophysical S factor of the 7 Li(p,γ)8 Be reaction at zero energy calculated to be 1.35 keV b.
Reaction rates calculated for the Li(p,γ)Be process over relevant astrophysical temperature ranges.

Abstract

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+pFormula: 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+pFormula: see text 8 Be(0Formula: see text, E=0.0 MeV) configuration was derived to be 58.43±1.95 fmFormula: see text. The values of ANCs for the 7 Li+pFormula: see text 8 Be(2Formula: see text, E=3.04 MeV) configuration were extracted to be 16.67±0.54 fmFormula: see text and 9.73±0.31 fmFormula: 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 theFormula: see textLi(p,Formula: see text)Formula: see textBe process was calculated over the relevant temperature range of astrophysical interest.

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