Second-order perturbation theory for 3He and pd scattering in pionless EFT

Abstract

This work implements pionless effective field theory with the two-nucleon system expanded around the unitarity limit at second order perturbation theory. The expansion is found to converge well. All Coulomb effects are treated in perturbation theory, including two-photon contributions at next-to-next-to-leading order. After fixing a three-nucleon force to the 3He binding energy at this order, proton-deuteron scattering in the doublet S-wave channel is calculated for moderate center-of-mass momenta.

24 pages, 7 figures, published version

References in corpus (10)

• Proton-proton fusion in pionless effective theory
• Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory
• Low energy proton-proton scattering in effective field theory
• Effective field theory of 3He
• Three-nucleon bound states and the Wigner-SU(4) limit
• The proton-deuteron system in pionless EFT revisited
• Renormalization-group analysis for low-energy scattering of charged particles
• Description of light nuclei in pionless effective field theory using the stochastic variational method
• Power counting for nuclear forces in chiral effective field theory
• Three-body systems in pionless effective field theory

Cited by in corpus (14)

• Nuclear effective field theory: status and perspectives
• Nuclear Physics Around the Unitarity Limit
• Naturalness in Nuclear Effective Field Theories
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Energies and radii of light nuclei around unitarity
• Clustering of Four-Component Unitary Fermions
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• What Can Possibly Go Wrong?
• Few nucleons scattering in pionless effective field theory
• A Vision for the Science of Rare Isotopes
• Renormalization of proton-proton fusion in chiral effective field theory
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry