Effective field theory approach for the M1 properties of A=2 and 3 nuclei

Abstract

The magnetic moments of ${}^{2}H$, ${}^{3}He$ and ${}^{3}H$ as well as the thermal neutron capture rate on the proton are calculated using heavy baryon chiral perturbation theory {\it à la} Weinberg. The M1 operators have been derived up to {N${}^3$LO}. The nuclear matrix elements are evaluated with the use of wave functions obtained by carrying out variational Monte Carlo calculations for a realistic nuclear Hamiltonian involving high-precision phenomenological potentials like Argonne Av18 and Urbana IX tri-nucleon interactions. We discuss the potential- and cutoff-dependence of the results.

14 pages, 2figures

References in corpus (2)

• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Predictiveness of Effective Field Theory in Nuclear Physics

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• Parity violation in low energy neutron deuteron scattering
• Time Reversal Invariance Violation in Neutron Deuteron Scattering
• Electromagnetic reactions on light nuclei using chiral effective theory