Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems

Abstract

M1 properties, comprising magnetic moments and radiative capture of thermal neutron observables, are studied in two- and three-nucleon systems. We utilize meson exchange current derived up to N${}^3$LO using heavy baryon chiral perturbation theory a la Weinberg. Calculations have been performed for several qualitatively different realistic nuclear Hamiltonians, which permits us to analyze model dependence of our results. Our results are found to be strongly correlated with the effective range parameters such as binding energies and the scattering lengths. Taking into account such correlation, the results are in good agreement with the experimental data with small model-dependence.

24 pages, 3 figures

References in corpus (7)

• Four-nucleon scattering: Ab initio calculations in momentum space
• Electromagnetic two-body currents of one- and two-pion range
• Effective field theory calculation of nd radiative capture at thermal energies
• Muon Capture on 3He and the Weak Structure of the Nucleon
• Neutron-Deuteron System and Photon Polarization Parameter at Thermal Neutron Energies
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• The proton-proton weak capture in chiral effective field theory
• Nuclear Currents in Chiral Effective Field Theory
• Thermal neutron captures on $d$ and ${}^3$He
• The Theory of Parity Violation in Few-Nucleon Systems
• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
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• Effective-field-theory predictions of the muon-deuteron capture rate
• Time Reversal Invariance Violation in Neutron Deuteron Scattering
• Muon Capture on Deuteron and 3He: A Personal Review
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