Magnetic Moments of Delta and Omega^- Baryons with Dynamical Clover Fermions

TL;DR

This study computes the magnetic dipole moments of Delta and Omega^- baryons using dynamical lattice QCD with background magnetic fields, providing results close to experimental values and exploring pion mass dependence.

Contribution

First dynamical calculation of these baryons' magnetic moments using a background field method with 2+1-flavor clover fermions on anisotropic lattices.

Findings

Omega^- magnetic moment: -1.93(8)(12) mu_N, close to experimental -2.02(5)

Delta baryon magnetic moments at three unphysical pion masses

Pion mass dependence consistent with chiral effective field theory

Abstract

We calculate the magnetic dipole moment of the Delta(1232) and Omega^- baryons with 2+1-flavors of clover fermions on anisotropic lattices using a background magnetic field. This is the first dynamical calculation of these magnetic moments using a background field technique. The calculation for Omega^- is done at the physical strange quark mass, with the result in units of the physical nuclear magneton mu_Omega^-= -1.93(8)(12) (where the first error is statistical and the second is systematic) compared to the experimental number: -2.02(5). The Delta has been studied at three unphysical quark masses, corresponding to pion mass m_pi = 366, 438, and 548 MeV. The pion mass dependence is compared with the behavior obtained from chiral effective field theory.