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

We investigate the charmless decays of excited P-wave charmonia $$\chi _{c1}^\prime \rightarrow VV$$ and $$\chi _{c2}^\prime \rightarrow VP$$ 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 $$\chi _{c1}^\prime \rightarrow VV$$, the partial widths of the $$\rho \rho $$, $$\omega \omega $$, and $$K^*{\bar{K}}^*$$ channels can reach to the order of MeV, while the partial width of the $$\phi \phi $$ channel is very small and in the order of keV. For $$\chi _{c2}^\prime \rightarrow V P$$, the partial widths of $$\chi _{c2}^{\prime } \rightarrow K^*\bar{K}+c.c$$ turns out to be sizeable, while the partial widths of $$\chi _{c2}^{\prime } \rightarrow \rho ^+\pi ^- +c.c$$ is found to be much smaller than the $$K^*\bar{K}+c.c$$ channel. Our calculations may be examined by the future BESIII experiments.