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The new particle Z(3930) found by the Belle and BaBar Collaborations throughthe $\gamma\gamma\rightarrow D\bar D$ process is identified to be the$\chi_{c2}(2P)$ state. Since the mass of this particle is above the $D\barD^{(\ast)}$ threshold, the OZI-allowed two-body strong decays are the maindecay modes. In this paper, these strong decay modes are studied with twomethods. One is the instantaneous Bethe-Salpeter method within Mandelstamformalism. The other is the combination of the $^3P_0$ model and the formerformalism. The total decay widths are 26.3 and 27.3 MeV for the methods with orwithout the $^3P_0$ vertex, respectively. The ratio of $\Gamma_{D\bar D}$ over$\Gamma_{D\bar D^\ast}$ which changes along with the mass of the initial mesonis also presented.

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