The electroproduction of the $\Delta$(1232) in the chiral quark-soliton model

Abstract

We calculate the ratios E2/M1 and C2/M1 for the electroproduction of the $\Delta$(1232) in the region of photon virtuality $0<-q^2<1$ GeV${}^2$. The magnetic dipole amplitude M1 is also presented. The theory used is the chiral quark-soliton model, which is based in the instanton vaccum of the QCD. The calculations are performed in flavor SU(2) and SU(3) taking rotational ($1/N_c$) corrections into account. The results for the ratios agree qualitatively with the available data, although the magnitude of both ratios seems to underestimate the latest experimental results.

arXiv comment14 pages, Latex, 3 figures, uses epsf

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Cited by in corpus (17)

• Electromagnetic excitation of the Delta(1232)-resonance
• $Q^2$ Dependence of Quadrupole Strength in the ${\gamma }^{\ast }p\to {\Delta }^{+}(1232)\to p{\pi }^0$ Transition
• 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
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Semileptonic hyperon decays in the self-consistent SU(3) chiral quark-soliton model
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• Vector transition form factors of the $N{K}^{\ast }\to {\Theta }^{+}$ and $N{\bar{K}}^{\ast }\to {\Sigma }_{\overline{10}}^{\ast -}$ in the SU(3) chiral quark-soliton model
• Axial amplitudes for Delta excitation in chiral quark models
• $\Delta$(1232) electroproduction amplitudes in chiral soliton models of the nucleon
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
• Status of the N* Program at Jefferson Lab
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking