Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
Abstract
We consider the chiral Lagrangian for baryon fields with J^P =\frac{1}{2}^+ or J^P =\frac{3}{2}^+ quantum numbers as constructed from QCD with up, down and strange quarks. The specific class of counter terms that are of chiral order Q^3 and contribute to meson-baryon interactions at the two-body level is constructed. Altogether we find 24 terms. In order to pave the way for realistic applications we establish a set of 22 sum rules for the low-energy constants as they are implied by QCD in the large-N_c limit. Given such a constraint there remain only 2 independent unknown parameters that need to be determined by either Lattice QCD simulations or directly from experimental cross section measurements. At subleading order we arrive at 5 parameters.
Keywords
Cite
@article{arxiv.1908.11816,
title = {Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3},
author = {Yonggoo Heo and C. Kobdaj and M. F. M. Lutz},
journal= {arXiv preprint arXiv:1908.11816},
year = {2019}
}
Comments
24 pages