1205.5725 (Tianhong Wang et al.)

EM Decay of X(3872) as the $1{^1D_2}(2^{-+})$ charmonium    [PDF]

Tianhong Wang, Guo-Li Wang, Yue Jiang, Wan-Li Ju

The recently BaBar results raise the possibility that X(3872) has a negative parity. This makes people to reconsider assigning X(3872) to the $1{^1D_2}(c\bar c)$ state. In this paper we give the general form of wave function of $2^{-+}$ meson. By solving instantaneous Bethe-Salpeter equation, we get mass spectrum and the corresponding wave functions. We calculate electromagnetic decay widths of the ground state of $2^{-+}$ state which we assume to be X(3872) particle. The results are $\Gamma(2^{-+}(3872)\rightarrow J/\psi\gamma)$ = 1.59 keV, $\Gamma(2^{-+}(3872)\rightarrow \psi(2S)\gamma)$ = 2.97 eV and $\Gamma(2^{-+}(3872)\rightarrow \psi(2S)\gamma)$ = 0.135 keV. The ratio of branch fractions of the second and first channel is about 0.002, which is inconsistent with experimental value $3.4\pm 1.4$. So X(3872) is unlikely to be a $2^{-+}$ charmonium state.

View original: http://arxiv.org/abs/1205.5725