Magnetic dipole transition in proton-deuteron radiative capture at BBN energies within potential model

Abstract

The $pd$ radiative capture reaction plays a vital role in Big Bang nucleosynthesis and stellar proton-proton chain. The study of the low-energy reaction is challenging in both experiments and theories. Using the framework of potential model, we analyze $pd$ radiative capture below 1 MeV for both electric dipole ($E1$) and magnetic dipole ($M1$) transitions. The obtained astrophysical $S$ factors agree well with recent results, especially at energies relevant to sensitive deuterium abundance. The calculated reaction rate shows good agreement, with less than a 5\% difference compared to recent works. The extrapolated value for $S(0)$ including both transitions is determined to be $0.211\pm 0.016$ eV b. A comparison with experimental data using the ${\chi }^2$ test reveals the sensitivity of the $M1$ cross section at low energies to the scattering potential depth.

17 pages, 6 figures, 2 tables, accepted for publication in Physica Scripta

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Cited by in corpus (1)

• Primordial deuterium abundance from calculations of $p(n,\gamma )$ and $d(p,\gamma )$ reactions within potential-model approach