Radiative neutron capture on a proton at BBN energies

Abstract

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.

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

References in corpus (26)

• Effective Field Theory for Few-Nucleon Systems
• Towards a Perturbative Theory of Nuclear Forces
• Primordial Nucleosynthesis for the New Cosmology: Determining Uncertainties and Examining Concordance
• Nucleon-Nucleon Effective Field Theory Without Pions
• Compilation and R-matrix analysis of Big Bang nuclear reaction rates
• Nuclear Reaction Network for Primordial Nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Rearranging Pionless Effective Field Theory
• The NACRE Thermonuclear Reaction Compilation and Big Bang Nucleosynthesis
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• Improving the Convergence of NN Effective Field Theory
• Neutrino Reactions on Deuteron
• Neutrino-deuteron reactions at solar neutrino energies
• n+p -> d+gamma for Big-Bang Nucleosynthesis
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• Effective field theory of the deuteron with dibaryon field
• $Nd\to {}^{3}H\gamma$ with Effective Field Theory
• Low-Energy Photodisintegration of the Deuteron and Big-Bang Nucleosynthesis
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Fixing Two-Nucleon Weak-Axial Coupling L_{1,A} From mu-d Capture
• Precision Primordial ${}^4$He Measurement with CMB Experiments
• DVCS-Dissociation of the Deuteron and the EMC Effect
• Neutron-Neutron Fusion
• Effective Field Theories of Light Nuclei

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