Decay properties of the 1{sup -+} hybrid state
2011
Within the framework of the QCD sum rules, we consider the three-point correlation function, work at the limit q{sup 2}{yields}0 and m{sub {pi}}{yields}0, and pick out the singular term {approx}(1/q{sup 2}) to extract the pionic coupling constants of the 1{sup -+} hybrid meson. Then, we calculate the decay widths of different modes. The decay width of the S-wave modes b{sub 1{pi}}, f{sub 1{pi}} increases quickly as the hybrid meson mass and decay momentum increase. But for the low mass hybrid meson around 1.6 GeV, the P-wave decay mode {rho}{pi} is very important and its width is around 180 MeV, while the widths of {eta}{pi} and {eta}{sup '{pi}} are strongly suppressed. We suggest the experimental search of {pi}{sub 1}(1600) through the decay chains at the Beijing Spectrometer: J/{psi}({psi}{sup '}){yields}{pi}{sub 1}+{gamma} or J/{psi}({psi}{sup '}){yields}{pi}{sub 1}+{rho}, where the {pi}{sub 1} state can be reconstructed through the decay modes {pi}{sub 1}{yields}{rho}{pi}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup 0} or {pi}{sub 1}{yields}f{sub 1}(1285){pi}{sup 0}. It is also interesting to look for {pi}{sub 1} using the available BELLE/BABAR data through the process e{sup +}e{sup -}{yields}{gamma}*{yields}{rho}{pi}{sub 1}, b{sub 1}{pi}{sub 1}, {gamma}{pi}{sub 1}, etc.
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