English

Empirical parametrizations of the resonance amplitudes based on the Siegert's theorem

Nuclear Theory 2017-03-08 v1 High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment

Abstract

We present parametrizations of the γNN(1535)1/2\gamma^\ast N \to N(1535)1/2^-, γNN(1520)3/2\gamma^\ast N \to N(1520)3/2^- and γNΔ(1232)3/2+\gamma^\ast N \to \Delta(1232)3/2^+ transition amplitudes that are compatible with the analytic constraints at the pseudothreshold (Siegert's theorem). The presented parametrizations also provide a fair description of the experimental data. For the case of the γNΔ(1232)3/2+\gamma^\ast N \to \Delta(1232)3/2^+ transition, we discuss how the pion cloud parametrizations of the electric and the Coulomb quadrupole form factors can be adjusted according to the Siegert's theorem.

Keywords

Cite

@article{arxiv.1610.01017,
  title  = {Empirical parametrizations of the resonance amplitudes based on the Siegert's theorem},
  author = {G. Ramalho},
  journal= {arXiv preprint arXiv:1610.01017},
  year   = {2017}
}

Comments

Proceedings of the "The 14th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon". July 25-30, 2016, Kyoto, Japan. 5 pages, 4 figures