Implication of the proton-deuteron radiative capture for Big Bang Nucleosynthesis

Abstract

The astrophysical $S$-factor for the radiative capture $d(p,\gamma {)}^3$He in the energy-range of interest for Big Bang Nucleosynthesis (BBN) is calculated using an {\it ab-initio} approach. The nuclear Hamiltonian retains both two- and three-nucleon interactions - the Argonne $v_{18}$ and the Urbana IX, respectively. Both one- and many-body contributions to the nuclear current operator are included. The former retain for the first time, besides the $1/m$ leading order contribution ($m$ is the nucleon mass), also the next-to-leading order term, proportional to $1/m^3$. The many-body currents are constructed in order to satisfy the current conservation relation with the adopted Hamiltonian model. The hyperspherical harmonics technique is applied to solve the $A=3$ bound and scattering states. A particular attention is used in this second case in order to obtain, in the energy range of BBN, an uncertainty on the astrophysical $S$-factor of the order or below $\sim$1 %. Then, in this energy range, the $S$-factor is found to be $\sim$10 % larger than the currently adopted values.Part of this increase (1-3 %) is due to the $1/m^3$ one-body operator, while the remaining is due to the new more accurate scattering wave functions. We have studied the implication of this new determination for the $d(p,\gamma {)}^3$He $S$-factor on deuterium primordial abundance. We find that the predicted theoretical value for ${}^2$H/H is in excellent agreement with its experimental determination, using the most recent determination of baryon density of Planck experiment, and with a standard number of relativistic degrees of freedom $N_{\mathrm{eff}}=3.046$ during primordial nucleosynthesis.

5 pages, 2 figures, submitted to Phys. Rev. Lett

References in corpus (8)

• Primordial Nucleosynthesis: from precision cosmology to fundamental physics
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• New reaction rates for improved primordial D/H calculation and the cosmic evolution of deuterium
• Electromagnetic Structure of Few-Nucleon Ground States
• Thermal neutron captures on $d$ and ${}^3$He
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
• Probing nuclear rates with Planck and BICEP2

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