Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions

Abstract

We calculate the electromagnetic, axial and pseudo-scalar form factors of the Nucleon to $\Delta (1232)$ transition using two dynamical light degenerate quarks and a dynamical strange quark simulated with the domain wall fermion action. Results are obtained at lattice spacings $a=0.114$ fm and $a=0.084$ fm, with corresponding pion masses of $330$ MeV and $297$ MeV, respectively. High statistics measurements are achieved by utilizing the coherent sink technique. The dominant electromagnetic dipole form factor, the axial form factors and the pseudo-scalar coupling are extracted to a good accuracy. This allows the investigation of the non-diagonal Goldberger-Treiman relation. Particular emphasis is given on the extraction of the sub-dominant electromagnetic quadrupole form factors and their ratio to the dominant dipole form factor, $R_{EM}$ and $R_{SM}$, measured in experiment.

arXiv comment31 pages, 10 figures

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Cited by in corpus (38)

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• Electromagnetic Excitation of Nucleon Resonances
• The $\pi \pi \to \pi {\gamma }^{\star }$ amplitude and the resonant $\rho \to \pi {\gamma }^{\star }$ transition from lattice QCD
• Event Generators for High-Energy Physics Experiments
• A framework for the calculation of the $\Delta N{\gamma }^{\ast }$ transition form factors on the lattice
• Nucleon electromagnetic form factors using lattice simulations at the physical point
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• Nucleon to Delta electromagnetic transition in the Dyson-Schwinger approach
• The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
• Hidden dibaryons in one- and two-pion production in NN collisions
• Rôle of the pion electromagnetic form factor in the $\Delta (1232)\to {\gamma }^{\ast }N$ timelike transition
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Towards a Unified Model of Neutrino-Nucleus Reactions for Neutrino Oscillation Experiments
• Determination of Delta resonance parameters from lattice QCD
• Electromagnetic transition form factors of baryons in the space-like momentum region
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
• Measurements of the γ* p --> Δ(1232) reaction at low Q2
• Electroexcitation of the ${\Delta }^{+}(1232)$ at low momentum transfer
• Hadron Structure and Form Factors
• Modification of electromagnetic structure functions for the $\gamma Z$-box diagram
• Accessing High Momentum States In Lattice QCD
• Baryon transition form factors at the pole
• Static and Dynamic Phases for Vortex Matter with Attractive Interactions
• New low-$Q^2$ measurements of the ${\gamma }^{\ast }N\to \Delta (1232)$ Coulomb quadrupole form factor, pion cloud parametrizations and Siegert's theorem
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• The $\Delta (1232)$ axial charge and form factors from lattice QCD
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• On hadron deformation: a model independent extraction of EMR from pion photoproduction data
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Hadron Structure in Lattice QCD
• Combined parametrization of the neutron electric form factor and the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Sea contribution to the charge radii and quadrupole moment of $J^P={\frac{1}{2}}^{+},{\frac{3}{2}}^{+}$ baryons
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD
• Baryon quadrupole moment in the 1/N(c) expansion of QCD
• Pion electroproduction measurements in the nucleon resonance region
• $N^{\ast }$ Resonances in Lattice QCD from (mostly) Low to (sometimes) High Virtualities
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme