The $\Delta (1232)$ axial charge and form factors from lattice QCD

Abstract

We present the first calculation on the $\Delta$ axial-vector and pseudoscalar form factors using lattice QCD. Two Goldberger-Treiman relations are derived and examined. A combined chiral fit is performed to the nucleon axial charge, N to $\Delta$ axial transition coupling constant and $\Delta$ axial charge.

5 pages, 4 figures

References in corpus (9)

• Ab-initio Determination of Light Hadron Masses
• Chiral Perturbation Theory and Baryon Properties
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Axial Nucleon form factors from lattice QCD
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Axial charges of octet and decuplet baryons
• Chiral Corrections and the Axial Charge of the Delta
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors

Cited by in corpus (11)

• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Relativistic, model-independent, multichannel $2\to 2$ transition amplitudes in a finite volume
• Matrix elements of unstable states
• Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions
• Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• Hadron Structure in Lattice QCD
• Isovector axial vector and pseudoscalar transition form factors of $\Delta$ in QCD
• Baryon Tri-local Interpolating Fields
• $\Delta$-baryon axialvector and pseudoscalar form factors, and associated PCAC relations