A. S. Solovyev

Investigation of the radiative capture reaction t + α → 7Li + γ in the algebraic version of the resonating group method

The radiative capture reaction t + α → 7Li + γ is investigated in the framework of the algebraic version of the resonating group method at low energies. The Hasegawa-Nagata nucleon-nucleon potential is used in calculations. The lowest compatible with the Pauli exclusion principle wave functions of a translationally invariant shell model are adopted as the internal wave functions for α and t clusters. The obtained results are in reasonable agreement with the experimental data.

Treatment of the Mirror 3H(α, γ) 7Li and 3He(α, γ) 7Be Reactions in the Algebraic Version of the Resonating Group Model

A unified microscopic approach based on the algebraic version of the resonating group model has been realized for description of the radiative capture reactions 3H(α, γ)7Li and 3He(α, γ)7Be, which play an important role for modern nuclear astrophysics. The astrophysical S-factors of the reactions and branching ratios between capture to the ground and first excited states of the 7Li and 7Be nuclei have been calculated. The comparison with the most recent experimental data demonstrates a good agreement.

Description of the

The 3He(α, γ)7Be nuclear reaction, which is of great interest for modern nuclear astrophysics, is investigated. The astrophysical S-factor of the reaction is calculated using the algebraic version of the resonating group model. The results agree with current experimental data.

^{3}

A microscopic approach based on the algebraic version of the resonating group method was implemented by applying it to the radiative capture reaction 3He(α, γ)7Be. The astrophysical S-factor of the reaction and the branching ratio between the capture to the ground and the first excited states of the 7Be nucleus were calculated. A comparison of the theoretical results with the most recent experimental data was performed, and good agreement with these data was found. Advantages of the theoretical approach realized are indicated, and possible ways to refine upon it are outlined.

He(α, γ)

The seven-nucleon 6Li + p system is considered. The 6Li(p, α)3He transfer reaction being of interest to nuclear astrophysics is studied using a multichannel algebraic version of the resonating group model. The astrophysical S-factor of this reaction is calculated at low sub-barrier energies. The result is compared with available experimental data and other theoretical calculations.

^{7}

The 6Li + n seven-nucleon nuclear system is studied at low energies within a microscopic approach based on the multichannel algebraic version of the resonating group model. The partial and total cross sections for the 6Li(n, t)4He reaction are calculated. The contributions of the various partial cross sections to the energy dependence of the total cross section are considered. The results of the calculations are found to be in a good agreement with experimental data.

Be radiative capture reaction within the resonating group model

An approximate approach that combines the algebraic versions of the resonating group model and the orthogonality conditions model is developed for description of radiative capture reactions. The approach is applied to the mirror 3H(α, γ)7Li and 3He(α, γ)7Be reactions. Astrophysical S-factors and branching ratios are calculated for these reactions. The nuclear interaction of the nucleons is described, using the modified Hasegawa–Nagata potential. The obtained results agree well with the experimental data, proving the applicability of the proposed approach to the describing radiative capture reactions and offering prospects for its further application.