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Baryon Mass Inequalities in Quark Models

In: Inequalities

Author

Listed:
  • Elliott H. Lieb

    (Princeton University, Departments of Mathematics and Physics)

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).

Suggested Citation

  • Elliott H. Lieb, 2002. "Baryon Mass Inequalities in Quark Models," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 313-316, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55925-9_26
    DOI: 10.1007/978-3-642-55925-9_26
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