Baryon mass inequalities in quark models

Elliott Lieb

Research output: Contribution to journalArticle

21 Scopus citations

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 languageEnglish (US)
Pages (from-to)1987-1990
Number of pages4
JournalPhysical Review Letters
Volume54
Issue number18
DOIs
StatePublished - Jan 1 1985

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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