A Lattice Test of 1/N_c Baryon Mass Relations

Details A Lattice Test of 1/N_c Baryon Mass Relations A Lattice Test of 1/N_c Baryon Mass Relations

2009-07-03

arxiv.org/abs/0907.0529v2

Phys.Rev.D81:014502,2010

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 20 figures; v2 version to be published in PRD

Scientific paper

10.1103/PhysRevD.81.014502

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.

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