Baryon mass inequalities in quark models

Elliott Lieb

Research output: Contribution to journalArticle

20 Citations (Scopus)

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

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quark models
baryons
kinetic energy
operators
ground state
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Lieb, Elliott. / Baryon mass inequalities in quark models. In: Physical review letters. 1985 ; Vol. 54, No. 18. pp. 1987-1990.
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Baryon mass inequalities in quark models. / Lieb, Elliott.

In: Physical review letters, Vol. 54, No. 18, 01.01.1985, p. 1987-1990.

Research output: Contribution to journalArticle

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