Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$

Details Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$ Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$

2006-10-25

arxiv.org/abs/hep-ph/0610327v4

Eur.Phys.J.C55:249-258,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1140/epjc/s10052-008-0591-9

Using the soft-pion theorem and the assumption on the final-state interactions, we include the contribution of $DK$ continuum into the QCD sum rules for $D_{sJ}(2317)$ meson. We find that this contribution can significantly lower the mass and the decay constant of $D_s(0^+)$ state. For the value of the current quark mass $m_c(m_c)=1.286 {\rm GeV}$, we obtain the mass of $D_s(0^+)$ $M=2.33 \pm 0.02 {\rm GeV}$ in the interval $s_0=7.5-8.0 {\rm GeV}^2$, being in agreement with the experimental data, and the vector current decay constant of $D_s(0^+)$ $f_0=0.128 \pm 0.013 {\rm GeV}$, much lower than those obtained in previous literature.

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