Dynamical study of the pentaquark antidecuplet in a constituent quark model

Details Dynamical study of the pentaquark antidecuplet in a constituent quark model Dynamical study of the pentaquark antidecuplet in a constituent quark model

2004-10-04

arxiv.org/abs/hep-ph/0410033v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure, talk given at the International Workshop PENTAQUARK04, SPring-8, Hyodo, Japan, July 20-23,2004, figure corr

Scientific paper

Dynamical calculations are performed for all members of the flavor antidecuplet to which the pentaquark $\Theta^+$ belongs. The framework is a constituent quark model where the short-range interaction has a flavor-spin structure. From symmetry considerations the lowest state acquires a positive parity. By fitting the mass of $\Theta^+$ of minimal content $uudd\bar{s}$, the mass of $\Xi^{--}$, of minimal content $ddss \bar{u}$, is predicted to be approximately 1960 MeV. It is shown that the octet and antidecuplet states with the same quantum numbers mix ideally due to SU(3)$_F$ breaking.

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