Dynamical study of the pentaquark antidecuplet in a constituent quark model

Abstract

Dynamical calculations are performed for all members of the flavor antidecuplet to which the pentaquark $Θ^+$ 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 $Θ^+$ of minimal content $uudd\bar{s}$, the mass of $Ξ^{--}$, 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.