Dynamical origin and the pole structure of X(3872)

preprint2010arXivOpen access

Abstract

The dynamical mechanism of channel coupling with the decay channels is applied to the case of coupled charmonium - DD∗DD^* states with JPC=1++J^{PC}=1^{++}. A pole analysis is done and the DD∗DD^* production cross section is calculated in qualitative agreement with experiment. The sharp peak at the D0D0∗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 23P12^3P_1, QQˉQ\bar Q state. A similar analysis, applied to the n=2n=2, 3P2^3P_2, 1P1^1P_1, 3P0^3P_0, allows us to associate the first one with the observed Z(3930)Z(3930) J=2 and explains the destiny of 3P0^3P_0.

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