English

Pion-cloud contribution to the $N\rightarrow \Delta$ transition form factors

High Energy Physics - Phenomenology 2018-12-06 v1

Abstract

We examine the contribution of the pion cloud to the electromagnetic NΔN \rightarrow \Delta transition form factors within a relativistic hybrid constituent-quark model. In this model baryons consist not only of the 3q3q valence component, but contain, in addition, a 3qπ3 q \pi non-valence component. We start with constituent quarks which are subject to a scalar, isoscalar confining force. This leads to an SU(6)SU(6) spin-flavor symmetric spectrum with degenerate nucleon and Delta masses. Mass splitting is caused by pions which are assumed to couple directly to the quarks. The point-form of relativistic quantum mechanics is employed to achieve a relativistically invariant description of this system. The NΔN \rightarrow \Delta transition current is then determined from the one-photon exchange contribution to the Δ\Delta electroproduction amplitude. We will give predictions for the ratios REMR_{EM} and RSMR_{SM} of electric to magnetic and Coulomb to magnetic form factors, which are supposed to be most sensitive to pion-cloud effects.

Keywords

Cite

@article{arxiv.1812.02057,
  title  = {Pion-cloud contribution to the $N\rightarrow \Delta$ transition form factors},
  author = {Ju-Hyun Jung and Wolfgang Schweiger},
  journal= {arXiv preprint arXiv:1812.02057},
  year   = {2018}
}

Comments

4 pages, contribution presented by J.-H. Jung at the 22nd International Conference on Few-Body Problems in Physics (Caen, July 9-13, 2018)