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

TL;DR

This paper employs an effective field theory approach to accurately calculate magnetic properties and neutron capture rates of light nuclei, integrating chiral perturbation theory with advanced Monte Carlo methods.

Contribution

It derives M1 operators up to N$^3$LO within heavy baryon chiral perturbation theory and evaluates nuclear matrix elements using variational Monte Carlo with realistic potentials.

Findings

Results show good agreement with experimental data.

The approach reduces model dependence and enhances predictive power.

Cutoff dependence is systematically analyzed.

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 \`{a} 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.