Radiative neutron capture on a proton at BBN energies

Details Radiative neutron capture on a proton at BBN energies Radiative neutron capture on a proton at BBN energies

2005-11-28

arxiv.org/abs/nucl-th/0511074v2

Phys.Rev. C74 (2006) 025809

Physics

Nuclear Physics

Nuclear Theory

21 pages and 12 eps figures; 6 eps figures and 2 references added, and accepted for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.74.025809

The total cross section for radiative neutron capture on a proton, $np \to d \gamma$, is evaluated at big bang nucleosynthesis (BBN) energies. The electromagnetic transition amplitudes are calculated up to next-to leading order within the framework of pionless effective field theory with dibaryon fields. We also calculate the $d\gamma\to np$ cross section and the photon analyzing power for the $d\vec{\gamma}\to np$ process from the amplitudes. The values of low energy constants that appear in the amplitudes are estimated by a Markov Chain Monte Carlo analysis using the relevant low energy experimental data. Our result agrees well with those of other theoretical calculations except for the $np\to d\gamma$ cross section at some energies estimated by an R-matrix analysis. We also study the uncertainties in our estimation of the $np\to d\gamma$ cross section at relevant BBN energies and find that the estimated cross section is reliable to within $\sim$1% error.

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