Chiral Corrections and the Axial Charge of the Delta

Abstract

Chiral corrections to the delta axial charge are determined using heavy baryon chiral perturbation theory. Knowledge of this axial coupling is necessary to assess virtual-delta contributions to nucleon and delta observables. We give isospin relations useful for a lattice determination of the axial coupling. Furthermore we detail partially quenched chiral corrections, which are relevant to address partial quenching and/or mixed action errors in lattice calculations of the delta axial charge.

arXiv comment4 pages, 3 figures, brief report

References in corpus (18)

• Electromagnetic excitation of the Delta(1232)-resonance
• Decuplet Baryon Structure from Lattice QCD
• Partially quenched chiral perturbation theory without ${\Phi }_0$
• Quenched Chiral Perturbation Theory for Baryons
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Baryon Octet to Decuplet Electromagnetic Transitions
• The N to Delta electromagnetic transition form factors from Lattice QCD
• Baryons in Partially Quenched Chiral Perturbation Theory
• The nucleon to Delta electromagnetic transition form factors in lattice QCD
• Axial Nucleon and Nucleon to Delta form fractors and the Goldberger-Treiman Relations from Lattice QCD
• Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
• The Magnetic Moments of the Octet Baryons in Quenched Chiral Perturbation Theory
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• The axial N to Delta transition form factors from Lattice QCD
• The Delta-resonance in a finite volume
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Chiral Corrections to Hyperon Axial Form Factors

Cited by in corpus (16)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• The masses and axial currents of the doubly charmed baryons
• Axial charges of octet and decuplet baryons
• Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
• Meson cloud contributions to baryon axial form factors
• The $\Delta (1232)$ axial charge and form factors from lattice QCD
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• Kaon Thresholds and Two-Flavor Chiral Expansions for Hyperons
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Quark spin content of SU(3) light and singly heavy baryons
• Hadron Structure in Lattice QCD
• Isovector axial vector and pseudoscalar transition form factors of $\Delta$ in QCD
• Axial transition form factors of octet baryons in the perturbative chiral quark model