Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-02-04
Phys.Lett. B595 (2004) 269-276; Erratum-ibid. B598 (2004) 295-295
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, espcrc1.sty, additional results on the octet-antidecuplet mixing and some numerical corrections to the published ver
Scientific paper
10.1016/j.physletb.2004.06.056
Dynamical calculations are performed for all isomultiplets of the flavour antidecuplet to which the newly discovered pentaquark $\Theta^+$ belongs. The framework is a constituent quark model where the short-range interaction has a flavour-spin structure. In this model the lowest pentaquarks have positive parity. Each antidecuplet member is described by a variational solution with the Pauli principle properly taken into account. By fitting the mass of $\Theta^+$ of minimal content $uudd\bar{s}$, the mass of $\Xi^{--}$, of minimal content $ddss \bar{u}$, is predicted at approximately 1960 MeV. The influence of the octet-antidecuplet mixing on the masses of the $Y = 1$ and 0 pentaquarks is considered within the same model and the role of the kinetic energy plus the hyperfine interaction in this mixing is pointed out.
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