Abstract
Recently conjectured three- (and more-) body mass inequalities are investigated for the quark models of baryons in which it is assumed that baryon masses are the ground-state energies of Schrödinger-type operators with pair potentials . It is proved that these inequalities hold (even with a "relativistic" form for the kinetic energy) if belongs to a certain class (which includes many potentials commonly used), but that they do not hold for all (even in the nonrelativistic case). One example of our results is .
- Received 28 February 1985
DOI:https://doi.org/10.1103/PhysRevLett.54.1987
©1985 American Physical Society