Approach to Perturbative Results in the N-Delta Transition

Abstract

We show that constraints from perturbative QCD calculations play a role in the nucleon to Delta(1232) electromagnetic transition even at moderate momentum transfer scales. The pQCD constraints, tied to real photoproduction data and unseparated resonance response functions, lead to explicit forms for the helicity amplitudes wherein the E2/M1 ratio remains small at moderately large momentum transfer.

4 pages, 2 figures, ReVTeX

References in corpus (5)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Transverse Momentum and Sudakov Effects in Exclusive QCD Processes: gamma* gamma pi0 Form Factor
• Hadronic Form Factors and Perturbative QCD
• Mainz "measurement" of the $E2/M1$ ratio in the $N-\Delta$ transition
• E2/M1 ratio from the Mainz $p(\vec{\gamma },p){\pi }^0$ data

Cited by in corpus (37)

• Electroproduction of the Delta Resonance at High Momentum Transfer
• Study of Non-Strange Baryon Resonances with Meson Photoproduction
• Pion cloud and the $Q^2-$dependence of ${\gamma }^{\ast }N\leftrightarrow \Delta$ transition form factors
• gamma* N -> Delta transition form factors: a new analysis of the JLab data on p(e,e'p)pi0 at Q^2=2.8 and 4.0 (GeV/c)^2
• Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory
• D-state effects in the electromagnetic N-Delta transition
• Symmetry breaking and quark-hadron duality in structure functions
• Proton polarizability contribution to the hyperfine splitting in muonic hydrogen
• Chiral symmetry and the Delta-Nucleon transition form factors
• A covariant model for the gamma N -> N(1535) transition at high momentum transfer
• Light Cone Sum Rules for gamma* N -> Delta Transition Form Factors
• Electromagnetic Transition Form Factors of Baryon Resonances
• A simple relation between the gamma N -> N(1535) helicity amplitudes
• Valence quark and meson cloud contributions to the ${\gamma }^{\ast }N\to N^{\ast }(1520)$ form factors
• Neutral Pion Electroproduction in the Resonance Region at High $Q^2$
• Nucleon resonances in Compton scattering
• Axial form factors of the octet baryons in a covariant quark model
• ${\gamma }^{\ast }N\Delta$ Form Factors from a Relativistic Dynamical Model of Pion Electroproduction
• Using the Single Quark Transition Model to predict nucleon resonance amplitudes
• Valence quark contributions for the ${\gamma }^{\ast }N\to N(1440)$ form factors from Light-Front holography
• Parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors and Siegert's theorem
• Improved empirical parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ and ${\gamma }^{\ast }N\to N(1520)$ helicity amplitudes and the Siegert's theorem
• $N^{\ast }$ Form Factors based on a Covariant Quark Model
• A model for pion Delta electroproduction on the proton
• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• Covariant model for the Dalitz decay of the $N(1535)$ resonance
• New low-$Q^2$ measurements of the ${\gamma }^{\ast }N\to \Delta (1232)$ Coulomb quadrupole form factor, pion cloud parametrizations and Siegert's theorem
• A dynamical model for pion electroproduction on the nucleon
• The P_33(1232) resonance contribution into the amplitudes M_{1+}^{3/2},E_{1+}^{3/2},S_{1+}^{3/2} from an analysis of the p(e,e'p)π^0 data at Q^2 = 2.8, 3.2, and 4 (GeV/c)^2 within dispersion relation approach
• A covariant model for the decuplet to octet Dalitz decays
• Target Normal Spin Asymmetry of the Elastic ep-Scattering at Resonance Energy
• Combined parametrization of the neutron electric form factor and the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors
• Meson cloud contributions to the Dalitz decays of decuplet to octet baryons
• Low-Q^2 scaling behavior of the form-factor ratios for the NΔ(1232)-transition
• Explicit Model Realizing Parton-Hadron Duality
• Irreducible tensor approach to spin observables in photo production of mesons with arbitrary spin-parity $s^{\pi }$
• NN and NDelta Form Factors viewed from ChPT