The two-body open charm decays of $Z^{+}(4430)$

Abstract

The two-body open charm decays $Z^{+}(4430)\to D^{+}{\bar{D}}^{\ast 0},D^{\ast +}{\bar{D}}^0,D^{\ast +}{\bar{D}}^{\ast 0}$ occur through the re-scattering mechanism and their branching ratios are strongly suppressed if $Z^{+}(4430)$ is a $D_1{\bar{D}}^{\ast }$ molecular state. In contrast, $Z^{+}(4430)$ falls apart into these modes easily with large phase space and they become the main decay modes if $Z^{+}(4430)$ is a tetraquark state. Experimental search of these two-body open charm modes and the hidden charm mode ${\chi }_{cJ}\rho$ will help distinguish different theoretical schemes.

Comments: 6 pages, 3 figures, 1 table