Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD

Abstract

We present a lattice QCD calculation of the $\Delta (1232)$ matrix elements of the axial-vector and pseudoscalar currents. The decomposition of these matrix elements into the appropriate Lorentz invariant form factors is carried out and the techniques to calculate the form factors are developed and tested using quenched configurations. Results are obtained for 2+1 domain wall fermions and within a hybrid scheme with domain wall valence and staggered sea quarks. Two Goldberger-Treiman type relations connecting the axial to the pseudoscalar effective couplings are derived. These and further relations based on the pion-pole dominance hypothesis are examined using the lattice QCD results, finding support for their validity. Utilizing lattice QCD results on the axial charges of the nucleon and the $\Delta$, as well as the nucleon-to-$\Delta$ transition coupling constant, we perform a combined chiral fit to all three quantities and study their pion mass dependence as the chiral limit is approached.

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• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Precision Study of Excited State Effects in Nucleon Matrix Elements
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• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
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• Chiral Corrections to Hyperon Axial Form Factors
• The $\Delta (1232)$ axial charge and form factors from lattice QCD

Cited by in corpus (14)

• Baryons as relativistic three-quark bound states
• A framework for the calculation of the $\Delta N{\gamma }^{\ast }$ transition form factors on the lattice
• A Feynman-Hellmann approach to the spin structure of hadrons
• Scattering of decuplet baryons in chiral effective field theory
• Axial charges of hyperons and charmed baryons using $N_f=2+1+1$ twisted mass fermions
• Meson-baryon coupling constants of the SU(3) baryons with flavor SU(3) symmetry breaking
• Phenomenological view on baryon-baryon potentials from lattice QCD simulations
• Unified model of nucleon elastic form factors and implications for neutrino-oscillation experiments
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Isovector axial vector and pseudoscalar transition form factors of $\Delta$ in QCD
• Contribution of the $a_1$ meson to the axial nucleon-to-$\Delta$ transition form factors
• Generalized parton distributions of $\Delta$ resonance in a diquark spectator approach
• $\Delta$-baryon axialvector and pseudoscalar form factors, and associated PCAC relations
• Model dependence of the polarization asymmetries in weak pion production off the nucleon