A Mass Inequality for the $Ξ^*$ and $Θ^+$ Pentaquarks

Details A Mass Inequality for the $Ξ^*$ and $Θ^+$ Pentaquarks A Mass Inequality for the $Ξ^*$ and $Θ^+$ Pentaquarks

2004-01-31

arxiv.org/abs/hep-ph/0402008v2

Phys.Lett. B594 (2004) 273-276

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex, 5 pages, no figures; added discussion of spin-orbit effects and recent experimental references

Scientific paper

10.1016/j.physletb.2004.05.052

We derive an upper bound on the mass difference between the $\Xi^*$ and $\Theta^+$ pentaquarks which are the manifestly exotic members of the $SU(3)_f$ antidecuplet. The derivation is based on simple assumptions about $SU(3)_f$ symmetry breaking and uses the standard quantum mechanical variational method. The resulting rather robust bound is more than 20 MeV below the experimentally reported $\Xi^*-\Theta^+$ mass difference, emphasizing the need for confirmation of the experimental mass values and placing strong constraints on quark models of the pentaquark structure.

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