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 ${\Theta }^{+}$ 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.

Comments: 9 pages, 1 figure, talk given at the International Workshop PENTAQUARK04, SPring-8, Hyodo, Japan, July 20-23,2004, figure corrected, typos in reference list corrected