A Lattice Test of 1/N_c Baryon Mass Relations
High Energy Physics - Lattice
2010-04-30 v2 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
1/N_c baryon mass relations are compared with lattice simulations of baryon masses using different values of the light-quark masses, and hence different values of SU(3) flavor-symmetry breaking. The lattice data clearly display both the 1/N_c and SU(3) flavor-symmetry breaking hierarchies. The validity of 1/N_c baryon mass relations derived without assuming approximate SU(3) flavor-symmetry also can be tested by lattice data at very large values of the strange quark mass. The 1/N_c expansion constrains the form of discretization effects; these are suppressed by powers of 1/N_c by taking suitable combinations of masses. This 1/N_c scaling is explicitly demonstrated in the present work.
Keywords
Cite
@article{arxiv.0907.0529,
title = {A Lattice Test of 1/N_c Baryon Mass Relations},
author = {Elizabeth Ellen Jenkins and Aneesh V. Manohar and John W. Negele and Andre Walker-Loud},
journal= {arXiv preprint arXiv:0907.0529},
year = {2010}
}
Comments
13 pages, 20 figures; v2 version to be published in PRD