Delta Baryon Magnetic Moments From Lattice QCD

Abstract

Theoretical predictions for the magnetic moments of the physical Delta baryons are extracted from lattice QCD calculations. We utilize finite-range regulated effective field theory that is constructed to have the correct Dirac moment mass dependence in the region where the up and down quark masses are heavy. Of particular interest is the chiral nonanalytic behaviour encountered as the nucleon-pion decay channel opens. We find a Delta^++ magnetic moment (at the Delta pole) of 4.99 \pm 0.56 μ_N. This result is within the Particle Data Group range of 3.7-7.5 μ_N and compares well with the experimental result of Bosshard et al. of 4.52 \pm 0.51 \pm 0.45 μ_N. The interplay between the different pion-loop contributions to the Delta^+ magnetic moment leads to the surprising result that the proton moment may exceed that of the Delta^+, contrary to conventional expectations.

7 pages, 7 figures, RevTex 4; Updated to include a recent experimental result