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Z c (4025) as the hadronic molecule with hidden charm
Authors:Jun He  Xiang Liu  Zhi-Feng Sun  Shi-Lin Zhu
Institution:1. Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou, 730000, China
3. Nuclear Theory Group, Institute of Modern Physics of CAS, Lanzhou, 730000, China
2. School of Physical Science and Technology, Lanzhou University, Lanzhou, 730000, China
4. Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, 100871, China
Abstract:We have studied the loosely bound $D^{*}\bar{D}^{*}$ system. Our results indicate that the recently observed charged charmonium-like structure Z c (4025) can be an ideal $D^{*}\bar{D}^{*}$ molecular state. We have also investigated its pionic, dipionic, and radiative decays. We stress that both the scalar isovector molecular partner Z c0 and three isoscalar partners ${\tilde{Z}}_{c0,c1,c2}$ should also exist if Z c (4025) is a $D^{*}\bar{D}^{*}$ molecular state in the framework of the one-pion-exchange model. Z c0 can be searched for in the channel e + e ?YZ c0(4025)(ππ)P-wave where Y can be Y(4260) or any other excited 1?? charmonium or charmonium-like states such as Y(4360), Y(4660), etc. The isoscalar $D^{*}\bar{D}^{*}$ molecular states ${\tilde{Z}}_{c0,c2}$ with 0+(0++) and 0+(2++) can be searched for in the three pion decay channel $e^{+}e^{-}\to Y \to {\tilde{Z}}_{c0,c2} (3\pi)^{I=0}_{\text{P-wave}}$ . The isoscalar molecular state ${\tilde{Z}}_{c1}$ with 0?(1+?) can be searched for in the channel ${\tilde{Z}}_{c1}\eta$ . Experimental discovery of these partner states will firmly establish the molecular picture.
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