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 V. It is proved that these inequalities hold (even with a "relativistic" form for the kinetic energy) if V belongs to a certain class (which includes many potentials commonly used), but that they do not hold for all V (even in the nonrelativistic case). One example of our results is 2M(cqs)>~M(cqq)+M(css).
Original language | English (US) |
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Pages (from-to) | 1987-1990 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 54 |
Issue number | 18 |
DOIs | |
State | Published - 1985 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy