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

Michal Praszalowicz

doi:10.1016/j.physletb.2003.12.056

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arXiv · hep-ph/0311230

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

Michal Praszalowicz

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Abstract

In the chiral quark soliton model the smallness of $Θ^+$ 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, $Θ^+$ width is suppressed by a group-theoretical factor ${\cal O}(1/N_c)$ with respect to $Δ$ and discuss the $N_c$ dependence of the phase space factors for these two decays.

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Michal Praszalowicz. 2003-11-23. The width of $Θ^{+}$ for large $N_{c}$ in chiral quark soliton model. https://doi.org/10.1016/j.physletb.2003.12.056

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