English

A BPS Skyrme model and baryons at large Nc

High Energy Physics - Theory 2010-11-09 v3 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Within the class of field theories with the field contents of the Skyrme model, one submodel can be found which consists of the square of the baryon current and a potential term only. For this submodel, a Bogomolny bound exists and the static soliton solutions saturate this bound. Further, already on the classical level, this BPS Skyrme model reproduces some features of the liquid drop model of nuclei. Here, we investigate the model in more detail and, besides, we perform the rigid rotor quantization of the simplest Skyrmion (the nucleon). In addition, we discuss indications that the viability of the model as a low energy effective field theory for QCD is further improved in the limit of a large number of colors N_c.

Keywords

Cite

@article{arxiv.1007.1567,
  title  = {A BPS Skyrme model and baryons at large Nc},
  author = {C. Adam and J. Sanchez-Guillen and A. Wereszczynski},
  journal= {arXiv preprint arXiv:1007.1567},
  year   = {2010}
}

Comments

latex, 23 pages, 1 figure, a numerical error in section 3.2 corrected; matches published version

R2 v1 2026-06-21T15:46:23.410Z