The N to Delta electromagnetic transition form factors from Lattice QCD

Abstract

The magnetic dipole, the electric quadrupole and the Coulomb quadrupole amplitudes for the transition γN\to Δare calculated in quenched lattice QCD at β=6.0 with Wilson fermions. Using a new method combining an optimal combination of interpolating fields for the $\Delta$ and an overconstrained analysis, we obtain statistically accurate results for the dipole form factor and for the ratios of the electric and Coulomb quadrupole amplitudes to the magnetic dipole amplitude, R_{EM} and R_{SM}, up to momentum transfer squared 1.5 GeV^2. We show for the first time using lattice QCD that both R_{EM} and R_{SM} are non-zero and negative, in qualitative agreement with experiment and indicating the presence of deformation in the N- Delta system.

4 pages, 3 figures

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• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
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• Signatures of chiral dynamics in the Nucleon to Delta transition
• Measurement of the LT-asymmetry in π^0 electroproduction at the energy of the Δ(1232) resonance
• Determination of quadrupole strengths in the gamma*p-->Delta(1232) transition at Q2= 0.20 (GeV/c)2
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• Properties of Nucleon Resonances by means of a Genetic Algorithm
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• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Analysis of the quadrupole deformation of $\Delta$(1232) within an effective Lagrangian model for pion photoproduction from the nucleon
• Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
• Study of excited nucleon states at EBAC: status and plans
• Investigations of hadron structure on the lattice
• Constituent-quark model with pionic contributions: electromagnetic $N\to \Delta$ transition
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• Overview of nucleon structure studies
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• Baryons on the lattice
• Pion electroproduction measurements in the nucleon resonance region
• Probing the nucleon structure with CLAS
• Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
• Two-photon physics