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 $\gamma N\to \Delta$ are evaluated both in quenched lattice QCD at $\beta =6.0$ and using two dynamical Wilson fermions simulated at $\beta =5.6$. The dipole transition form factor is accurately determined at several values of momentum transfer. On the lattices studied in this work, the electric quadrupole amplitude is found to be non-zero yielding a negative value for the ratio, $R_{EM}$, of electric quadrupole to magnetic dipole amplitudes at three values of momentum transfer.

Discussion of systematic errors and chiral extrapolation extended; Typos corrected; Version to appear in Phys. Rev. D.; 19 pages including 21 figures

References in corpus (15)

• $Q^2$ Dependence of Quadrupole Strength in the ${\gamma }^{\ast }p\to {\Delta }^{+}(1232)\to p{\pi }^0$ Transition
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• Search for Quadrupole Strength in the Electro-excitation of the Delta(1232)
• Baryon Octet to Decuplet Electromagnetic Transitions
• Intrinsic quadrupole moment of the nucleon
• Light and Strange Hadron Spectroscopy with Dynamical Wilson Fermions
• Hadron Spectrum with Wilson fermions
• Chiral symmetry and the Delta-Nucleon transition form factors
• Probing hadron wave functions in Lattice QCD
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• Deviation of the Nucleon Shape From Spherical Symmetry: Experimental Status
• Hadron Masses and Decay Constants with Wilson Quarks at $\beta =5.85$ and 6.0
• Hadron wave functions and the issue of nucleon deformation
• Gauge-invariant two- and three- density correlators
• Calculation of the N to Delta electromagnetic transition matrix element

Cited by in corpus (32)

• Electromagnetic excitation of the Delta(1232)-resonance
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Investigation of the conjectured nucleon deformation at low momentum transfer
• The N to Delta electromagnetic transition form factors from Lattice QCD
• The nucleon electromagnetic form factors from Lattice QCD
• Electroexcitation of the P33(1232), P11(1440), D13(1520), S11(1535) at Q^2=0.4 and 0.65(GeV/c)^2
• Extraction and Interpretation of gamma N --> Delta Form Factors within a Dynamical Model
• 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
• D-state effects in the electromagnetic N-Delta transition
• Cross sections and beam asymmetries for $\vev{e}p \to enπ^+$ in the nucleon resonance region for $1.7\le Q^2\le 4.5(GeV{)}^2$
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Valence quark contribution for the gamma N -> Delta quadrupole transition extracted from lattice QCD
• Light Cone Sum Rules for gamma* N -> Delta Transition Form Factors
• Determination of quadrupole strengths in the gamma*p-->Delta(1232) transition at Q2= 0.20 (GeV/c)2
• ${\Omega }_c\gamma \to {\Omega }_c^{\ast }$ transition in lattice QCD
• Octet to decuplet electromagnetic transition in a relativistic quark model
• Radiative transitions of doubly charmed baryons in lattice QCD
• Electromagnetic Transition Form Factors of Baryon Resonances
• Search for the pentaquark resonance signature in lattice QCD
• Dynamical Models of the Excitations of Nucleon Resonances
• First measurement of target and double spin asymmetries for polarized e- polarized p --> e p pi0 in the nucleon resonance region above the Delta(1232)
• Virtual Compton Scattering measurements in the ${\gamma }^{\ast }N\to \Delta$ transition
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Transition magnetic moments of $J^P={\frac{3}{2}}^{+}$ decuplet to $J^P={\frac{1}{2}}^{+}$ octet baryons in the chiral constituent quark model
• N to $\Delta$ transition amplitudes from QCD sum rules
• Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
• Understanding nucleon structure using lattice simulations
• Highlights of Recent Results with Clas
• Momentum dependence of the N to Delta transition form factors
• Hadron Structure from Lattice QCD
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD