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arXiv · 1305.1067

Two-Body Strong Decay of Z(3930) as the $χ_{c2} (2P)$ State

Tianhong Wang·Guo-Li Wang·Hui-Feng Fu·Wan-Li Ju
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Abstract

The new particle Z(3930) found by the Belle and BaBar Collaborations through the $γγ\rightarrow D\bar D$ process is identified to be the $χ_{c2}(2P)$ state. Since the mass of this particle is above the $D\bar D^{(\ast)}$ threshold, the OZI-allowed two-body strong decays are the main decay modes. In this paper, these strong decay modes are studied with two methods. One is the instantaneous Bethe-Salpeter method within Mandelstam formalism. The other is the combination of the $^3P_0$ model and the former formalism. The total decay widths are 26.3 and 27.3 MeV for the methods with or without the $^3P_0$ vertex, respectively. The ratio of $Γ_{D\bar D}$ over $Γ_{D\bar D^\ast}$ which changes along with the mass of the initial meson is also presented.

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Tianhong Wang, Guo-Li Wang, Hui-Feng Fu, Wan-Li Ju. 2013-06-20. Two-Body Strong Decay of Z(3930) as the $χ_{c2} (2P)$ State. https://doi.org/10.1007/jhep07(2013)120

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