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Astrophysical $S$ factors and reaction rates of the direct radiative captureprocesses $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rmH}(\alpha,\gamma)^{7}{\rm Li}$, as well as the primordial abundance of the$^{7}{\rm Li}$ element, are estimated in the framework of a modified two-bodypotential model. It is shown that suitable modification of phase-equivalent$\alpha-^{3}{\rm He}$ potentials in the $d$ waves can improve the descriptionof the astrophysical $S$ factor for the direct $^{3}{\rm He}(\alpha,\gamma)^{7}{\rm Be}$ radiative capture reaction at energies above 0.5 MeV. Anestimated $^{7}{\rm Li/H}$ abundance ratio of $(4.89\pm 0.18 )\times 10^{-10}$is in very good agreement with the recent measurement of $(5.0\pm 0.3) \times10^{-10}$ by the LUNA collaboration.

nuclear physics a

Analysis of the $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm  H}(\alpha,\gamma)^{7}{\rm Li}$ astrophysical direct capture reactions in a  modified potential-model approach