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

References in corpus (2)

• The reaction $\gamma p\to {\pi }^{\circ }{\gamma }^{\prime }p$ and the magnetic dipole moment of the ${\Delta }^{+}(1232)$ resonance
• Chiral Extrapolation of Hadronic Observables

Cited by in corpus (48)

• Electromagnetic excitation of the Delta(1232)-resonance
• Nucleon and $\Delta$ elastic and transition form factors
• Precision Electromagnetic Structure of Octet Baryons in the Chiral Regime
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Spin 1/2^+, spin 3/2^+ and transition magnetic moments of low lying and charmed baryons
• Baryon magnetic moments in the background field method
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Leading Quenching Effects in the Proton Magnetic Moment
• Magnetic Moments of Delta and Omega^- Baryons with Dynamical Clover Fermions
• Quark Contributions to Baryon Magnetic Moments in Full, Quenched and Partially Quenched QCD
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Elastic and transition form factors of the Δ(1232)
• Electric quadrupole and magnetic octupole moments of the Delta
• Precision electromagnetic structure of decuplet baryons in the chiral regime
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Electromagnetic form factors of the Delta with D-waves
• Insights into the gamma* N -> Delta transition
• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
• Magnetic moments of vector, axial, and tensor mesons in lattice QCD
• Radiative pi0 photoproduction on protons in the Delta+(1232) region
• Nucleon electromagnetic form factors from lattice QCD
• Electromagnetic Properties of the Baryon Decuplet in Quenched and Partially Quenched Chiral Perturbation Theory
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Magnetic Dipole, Electric Quadrupole and Magnetic Octupole Moments of the $\Delta$ Baryons in Light Cone QCD Sum Rules
• Properties of Light Flavour Baryons in Hypercentral quark model
• Valence quark and meson cloud contributions to the ${\gamma }^{\ast }N\to N^{\ast }(1520)$ form factors
• Unitary model for the $\gamma p\to \gamma {\pi }^{0}p$ reaction and the magnetic dipole moment of the ${\Delta }^{+}(1232)$
• Electromagnetic form factors of the Delta in a S-wave approach
• Baryon magnetic moments in large-N_c chiral perturbation theory
• Improved chiral properties of FLIC fermions
• Oscillating magnetised hybrid stars under the magnifying glass of multi-messenger observations
• Spin and orbital angular momentum of the proton
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Exploring the effects of Delta Baryons in magnetars
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Magnetic moments and electromagnetic radii of nucleon and $\Delta (1232)$ in an extended GBE model
• Chiral Structure in Baryon Magnetic Moments
• Flavor symmetry breaking in the $\Delta$ sea
• Investigations of hadron structure on the lattice
• Chiral Perturbation Theory on the Lattice and its Applications
• Probing the proton and its excitations in full QCD
• Baryon quadrupole moment in the 1/N(c) expansion of QCD
• The strangeness magnetic moment of the nucleon from FLIC fermions
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• Light quark electromagnetic structure of baryons