English

Heavy baryon decay widths in the large $N_c$ limit in chiral theory

High Energy Physics - Phenomenology 2018-09-26 v2

Abstract

We propose large NcN_c generalizations for the "diquark" representations of SU(3)flav_{\rm flav} relevant for positive parity heavy baryons, including putative exotic states. Next, within the framework of the Chiral Quark Soliton Model, we calculate heavy baryon masses and decay widths. We show that in the limit of NcN_c \rightarrow \infty {\em all} decay widths vanish, including the widths of exotica. This result is in fact more general than the model itself, as it relies only on the underlying symmetries: i.e. SU(3)flav_{\rm flav} and hedgehog symmetry. Furthermore, using explicit model formulae for the decay constants in the non-realtivistic limit, we show that there is a hierarchy of the decay couplings, which may explain observed pattern of experimental widths.

Keywords

Cite

@article{arxiv.1806.02133,
  title  = {Heavy baryon decay widths in the large $N_c$ limit in chiral theory},
  author = {Michal Praszalowicz},
  journal= {arXiv preprint arXiv:1806.02133},
  year   = {2018}
}

Comments

7 pages, 1 figure. Version accepted in EPJ C. Typos corrected, minor modifications, bibliography reformatted