Theoretical study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>α</mml:mi><mml:mo>+</mml:mo><mml:mi>d</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">Li</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow><mml:mo>+</mml:mo><mml:mi>γ</mml:mi></mml:mrow></mml:math>astrophysical capture process in a three-body model
Аннотация
The astrophysical capture process $\ensuremath{\alpha}+d\ensuremath{\rightarrow}^{6}\mathrm{Li}$ is studied in a three-body model. The initial state is factorized into the deuteron bound state and the ($\ensuremath{\alpha}+d$)-scattering state. The final nucleus $^{6}\mathrm{Li}({1}^{+})$ is described as a three-body bound state $\ensuremath{\alpha}+n+p$ in the hyperspherical Lagrange-mesh method. The contribution of the $E1$-transition operator from the initial isosinglet states to the isotriplet components of the final state is estimated to be negligible. An estimation of the forbidden $E1$ transition to the isosinglet components of the final state is comparable with the corresponding results of the two-body model. However, the contribution of the $E2$-transition operator is found to be much smaller than the corresponding estimations of the two-body model. The three-body model perfectly matches the new experimental data of the LUNA Collaboration with the spectroscopic factor of 2.586 estimated from the bound-state wave functions of $^{6}\mathrm{Li}$ and a deuteron.