Evasion of HSR in the charmless decays of excited $P$-wave charmonia

Abstract

We investigate the charmless decays of excited $P$-wave charmonia ${\chi }_{c1}^{\prime }\to VV$ and ${\chi }_{c2}^{\prime }\to VP$ via intermediate charmed meson loops, where $V$ and $P$ denote the light vector and pseudoscalar mesons, respectively. Within the model parameters, the charmed meson loop contributions are evaluated by using the effective Lagrangian approach. For ${\chi }_{c1}^{\prime }\to VV$, the partial widths of the $\rho \rho$, $\omega \omega$, and $K^{\ast }{\bar{K}}^{\ast }$ channels can reach to the order of MeV, while the partial width of the $\varphi \varphi$ channel is very small and in the order of keV. For ${\chi }_{c2}^{\prime }\to VP$, the partial widths of ${\chi }_{c2}^{\prime }\to K^{\ast }\bar{K}+c.c$ turns out to be sizeable, while the partial widths of ${\chi }_{c2}^{\prime }\to {\rho }^{+}{\pi }^{-}+c.c$ is found to be much smaller than the $K^{\ast }\bar{K}+c.c$ channel. Our calculations may be examined by the future BESIII experiments.

Comments: 7 pages, 7 figures, to appear in Eur. Phys. J. C