Baryon mass inequalities in quark models

Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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 languageEnglish (US)
Pages (from-to)1987-1990
Number of pages4
JournalPhysical review letters
Issue number18
StatePublished - 1985

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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