D_{sJ}^+(2317)\to D_s^+π^0 decay width

Abstract

We use the QCD sum rules to analize the hadronic decay $D_{sJ}^{+}(2317)\to D_s^+π^0$, in the hypotesis that the $D_{sJ}^{+}(2317)$ can be identified as a four-quark state. We use a diquak-antidiquark current and work to the order of $m_s$ in full QCD, without relying on $1/m_c$ expansion. We find that the partial decay width of the hadronic isospin violating mode is proportional to the isovector quark condensate, $\langle0|\bar{d}d-\bar{u}u|0\rangle$. The estimated partial decay width is of the order of 6 keV.