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Dynamical origin and the pole structure of X(3872) · Around

2010

Dynamical origin and the pole structure of X(3872)

Danilkin, I. V., Simonov, Yu. A.

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The dynamical mechanism of channel coupling with the decay channels is applied to the case of coupled charmonium - $DD^*$ states with $J^{PC}=1^{++}$.

A pole analysis is done and the $DD^*$ production cross section is calculated in qualitative agreement with experiment.
The sharp peak at the $D_0D^*_0$ threshold and flat background are shown to be due to Breit-Wigner resonance, shifted by channel coupling from the original position of 3954 MeV for the $2^3P_1$, $Q\bar Q$ state.
A similar analysis, applied to the $n=2$, $^3P_2$, $^1P_1$, $^3P_0$, allows us to associate the first one with the observed $Z(3930)$ J=2 and explains the destiny of $^3P_0$.

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