The width of $Θ^{+}$ for large $N_{c}$ in chiral quark soliton model

Details The width of $Θ^{+}$ for large $N_{c}$ in chiral quark soliton model The width of $Θ^{+}$ for large $N_{c}$ in chiral quark soliton model

2003-11-19

arxiv.org/abs/hep-ph/0311230v2

Phys.Lett.B583:96-102,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 eps figures, in v2 reference added, minor typos corrected

Scientific paper

10.1016/j.physletb.2003.12.056

In the chiral quark soliton model the smallness of $\Theta^+$ width is due to the cancellation of the coupling constants which are of different order in $N_c$. We show that taking properly into account the flavor structure of relevant SU(3) representations for arbitrary number of colors enahnces the nonleading term by an additional factor of $N_c$, making the cancellation consistent with the $N_c$ counting. Moreover, we show that, for the same reason, $\Theta^+$ width is suppressed by a group-theoretical factor ${\cal O}(1/N_c)$ with respect to $\Delta$ and discuss the $N_c$ dependence of the phase space factors for these two decays.

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