Chiral symmetry and the Delta-Nucleon transition form factors

Abstract

The three complex form factors entering the $\Delta \to N{\gamma }^{\ast }$ vertex are calculated to $\mathcal{O}({\epsilon }^3)$ in the framework of a chiral effective theory with explicit Δ(1232) degrees of freedom included. It is shown that the low q^2 behavior of the form factors is governed by $\pi N$, $\pi \Delta$ loop effects. Predictions are given for the q^2-dependence of the three transition-multipoles $M1(q^2),E2(q^2),C2(q^2)$. Furthermore, the role of presently unknown low energy constants that affect the values of the multipole ratios EMR(q^2) and CMR(q^2) is elucidated.

37 pages, 12 figures

References in corpus (2)

• Problems with Extraction of the Nucleon to Delta(1232) Photonic Amplitudes
• Stability of the E2/M1 ratio at the T-matrix pole

Cited by in corpus (39)

• Unitary Isobar Model - MAID2007
• Electromagnetic excitation of the Delta(1232)-resonance
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• $Q^2$ Dependence of Quadrupole Strength in the ${\gamma }^{\ast }p\to {\Delta }^{+}(1232)\to p{\pi }^0$ Transition
• Search for Quadrupole Strength in the Electro-excitation of the Delta(1232)
• The N to Delta electromagnetic transition form factors from Lattice QCD
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• The nucleon to Delta electromagnetic transition form factors in lattice QCD
• Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for $p(\vec{e},e^{\prime }p){\pi }^o$ in the $\Delta (1232)$ Resonance Region
• 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
• Measurement of the beam-helicity asymmetry in the p(e_pol,e'p)pi_0 reaction at the energy of the Delta(1232) resonance
• Ordinary and radiative muon capture on the proton and the pseudoscalar form factor of the nucleon
• N to Delta electromagnetic transition form factors from Lattice QCD
• Magnetic moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• Radiative Decays of Decuplet to Octet Baryons in Light Cone QCD
• Baryon Decuplet to Octet Electromagnetic Transitions in Quenched and Partially Quenched Chiral Perturbation Theory
• Hadrons in Strong Electric and Magnetic Fields
• Electromagnetic Transition Form Factors of Baryon Resonances
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Beam normal spin asymmetry for the $ep\to e\Delta (1232)$ process
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• The electroproduction of the $\Delta$(1232) in the chiral quark-soliton model
• Decuplet contribution to the meson-baryon scattering lengths
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Axial amplitudes for Delta excitation in chiral quark models
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• The Δcontribution to the parity-violating nucleon-nucleon force
• Direct calculation of the K-matrix for pion electro-production in the Delta channel
• Probing Delta structure with pion electromagnetic production
• Chiral Perturbation Theory on the Lattice and its Applications
• Pion electroproduction measurements in the nucleon resonance region
• Chiral extrapolation of the doubly charmed baryons magnetic properties