Calculations of $p(n,\gamma )d$ reaction in chiral effective field theory

Abstract

We present a calculation of the radiative capture cross section $p(n,\gamma )d$ in the low-energy range, where the $M1$ reaction channel dominates. Employing the LENPIC nucleon-nucleon interaction up to the fifth order (N4LO) that is regularized by the semi-local coordinate space regulators, we obtain the initial and final state wave functions, and evaluate the phase shifts of the scattering state and deuteron properties. We derive the transition operator from the chiral effective field theory up to the next-to-next-to leading order (N2LO), where we also regularize the transition operator using regulators consistent with those of the interactions. We compute the capture cross sections and the results show a converging pattern with the chiral-order expansion of the nucleon-nucleon interaction, where the regulator dependence of the results is weak when higher-order nucleon-nucleon interactions are employed. We quantify the uncertainties of the cross-section results due to the chiral-order truncation. The chirally complete and consistent cross-section results are performed up to N2LO and they compare well with the experiments and other theoretical predictions.

13 pages, 3 tables, 1 figure

References in corpus (17)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Recent developments in no-core shell-model calculations
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• LUNA: Nuclear Astrophysics Deep Underground
• Electromagnetic two-body currents of one- and two-pion range
• Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
• Prediction for a four-neutron resonance
• Nuclear Currents in Chiral Effective Field Theory
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Shell Model States in the Continuum
• Nuclear electromagnetic currents to fourth order in chiral effective field theory
• Ab initio prediction of the ${}^4\mathrm{He}(d,\gamma ){}^6\mathrm{Li}$ big bang radiative capture
• Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory

Cited by in corpus (4)

• Pairing properties of semilocal coordinate&momentum-space regularized chiral interactions
• Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential
• Systematic many-fermion Hamiltonian input scheme and spectral calculations on quantum computers
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States