Dynamical origin and the pole structure of X(3872)

Abstract

The dynamical mechanism of channel coupling with the decay channels is applied to the case of coupled charmonium - $D{D}^{\ast }$ states with $J^{PC}=1^{++}$. A pole analysis is done and the $D{D}^{\ast }$ production cross section is calculated in qualitative agreement with experiment. The sharp peak at the $D_0{D}_0^{\ast }$ 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 $2^3{P}_1$, $Q\bar{Q}$ state. A similar analysis, applied to the $n=2$, ${}^3{P}_2$, ${}^1{P}_1$, ${}^3{P}_0$, allows us to associate the first one with the observed $Z(3930)$ J=2 and explains the destiny of ${}^3{P}_0$.

5 pages, 4 figures. Accepted for publication in Phys. Rev. Lett

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