Gauge- and point-invariant vertices of nucleon-to-resonance interactions
arXiv:1303.4983 · doi:10.1103/PhysRevC.87.035203
Abstract
We construct interactions of nucleons N with higher-spin resonances R invariant under point and gauge transformations of the Rarita-Schwinger field. It is found for arbitrarily high spin of a resonance that the requirement of point- and gauge-invariance uniquely determines a Lagrangian of NR interactions with pions, photons, and vector mesons, which might reduce model ambiguity in effective-field calculations involving such vertices. Considering the NR interactions with photons and vector mesons, the symmetry provides a classification of three NR vertices in terms of their differential order. The Q^2 dependencies of the point and gauge invariant form factors are considered in a vector-meson-dominance model. The model is in good agreement with experimental data. In addition, we point out some empirical patterns in the Q^2 dependencies of the form factors: low-Q^2 scaling of the N-Delta(1232) form factor ratios and relations between form factors for N-N(1520) and N-N(1680) transitions.
arXiv comment20 pages, 5 figures
References in corpus (37)
- Unitary Isobar Model - MAID2007
- Electromagnetic excitation of the Delta(1232)-resonance
- Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction
- Electroexcitation of nucleon resonances
- Electroproduction of the Delta Resonance at High Momentum Transfer
- Perturbative QCD Analysis of the Nucleon's Pauli Form Factor F_2(Q^2)
- Electromagnetic Meson Production in the Nucleon Resonance Region
- Quantization of an interacting spin-3/2 field and the Delta isobar
- Field theory of nucleon to higher-spin baryon transitions
- 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
- Resonance production by neutrinos: The second resonance region
- Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
- Investigation of the conjectured nucleon deformation at low momentum transfer
- Extraction and Interpretation of gamma N --> Delta Form Factors within a Dynamical Model
- Electroexcitation of nucleon resonances at Q^2=0.65 GeV/c^2 from a combined analysis of single- and double-pion electroproduction data
- Recoil Polarization for Delta Excitation in Pion Electroproduction
- Causal Propagation of a Charged Spin 3/2 Field in an External Electromagnetic Background
- Consistent interactions for high-spin fermion fields
- Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom
- Spin 3/2 Beyond the Rarita-Schwinger Framework
- Measurement of the LT-asymmetry in π^0 electroproduction at the energy of the Δ(1232) resonance
- Measurements of the gamma*p->Delta Reaction At Low Q^2: Probing the Mesonic Contribution
- Symmetry of massive Rarita-Schwinger fields
- On-shell consistency of the Rarita-Schwinger field formulation
- Neutral Pion Electroproduction in the Resonance Region at High
- Delta-to-N-gamma Coulomb Quadrupole Amplitude in PQCD
- Spin-5/2 fields in hadron physics
- Virtual Compton Scattering measurements in the transition
- "Square Root" of the Proca Equation: Spin-3/2 Field Equation
- New symmetry current for massive spin-3/2 fields
- On a gauge-invariant interaction of spin-$\fth$ resonances
- Asymptotic conditions for electromagnetic form factors of hadrons represented by VMD model
- Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
- Causal Propagation of Spin-Cascades
- Low-Q^2 scaling behavior of the form-factor ratios for the NΔ(1232)-transition
- Symmetries of higher-spin fields and the electromagnetic N-N(1680) form factors
- Logarithmic corrections and soft photon phenomenology in the multipole model of the nucleon form factors