Using the Single Quark Transition Model to predict nucleon resonance amplitudes

Abstract

We present predictions for the ${\gamma }^{\ast }N\to N^{\ast }$ helicity amplitudes, where $N^{\ast }$ is a member of the $[70,1^{-}]$ supermultiplet. We combine the results from the single quark transition model for the helicity amplitudes with the results of the covariant spectator quark model for the ${\gamma }^{\ast }N\to N^{\ast }(1535)$ and ${\gamma }^{\ast }N\to N^{\ast }(1520)$ transitions. The theoretical estimations from the covariant spectator quark model are used to calculate three independent functions $A,B$, and $C$ of $Q^2$, where $Q^2=-q^2$ and $q$ is the momentum transfer. With the knowledge of the functions $A,B$, and $C$ we estimate the helicity amplitudes for the transitions ${\gamma }^{\ast }N\to N^{\ast }(1650)$, ${\gamma }^{\ast }N\to N^{\ast }(1700)$, ${\gamma }^{\ast }N\to \Delta (1620)$, and ${\gamma }^{\ast }N\to \Delta (1700)$. The analysis is restricted to reactions with proton targets. The predictions for the transition amplitudes are valid for $Q^2>2$ GeV${}^2$.

Published version. 12 pages, 6 figures, extended bibliography

References in corpus (15)

• Unitary Isobar Model - MAID2007
• A study of the $P_{11}(1440)$ and $D_{13}(1520)$ resonances from CLAS data on $ep\to e^{\prime }{\pi }^{+}{\pi }^{-}{p}^{\prime }$
• A pure S-wave covariant model for the nucleon
• D-state effects in the electromagnetic N-Delta transition
• A relativistic quark model for the Omega- electromagnetic form factors
• A Covariant model for the nucleon and the $\Delta$
• Octet baryon electromagnetic form factors in nuclear medium
• Dynamical coupled-channels analysis of 1H(e,e'pi)N reactions
• Timelike gamma* N -> Delta form factors and Delta Dalitz decay
• Valence quark and meson cloud contributions for the gamma* Lambda -> Lambda* and gamma* Sigma0 -> Lambda* reactions
• Extracting the Omega- electric quadrupole moment from lattice QCD data
• The physical meaning of scattering matrix singularities in coupled-channel formalisms
• Covariant spectator quark model description of the ${\gamma }^{\ast }\Lambda \to {\Sigma }^0$ transition
• The shape of the $\Delta$ baryon in a covariant spectator quark model
• Hypercentral Constituent Quark Model with a Meson Cloud