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

Abstract

Abstract We investigate the charmless decays of excited P-wave charmonia $$\chi _{c1}^\prime \rightarrow VV$$ χc1′→VV and $$\chi _{c2}^\prime \rightarrow VP$$ χc2′→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 $$\chi _{c1}^\prime \rightarrow VV$$ χc1′→VV , the partial widths of the $$\rho \rho $$ ρρ , $$\omega \omega $$ ωω , and $$K^*{\bar{K}}^*$$ K∗K¯∗ channels can reach to the order of MeV, while the partial width of the $$\phi \phi $$ ϕϕ channel is very small and in the order of keV. For $$\chi _{c2}^\prime \rightarrow V P$$ χc2′→VP , the partial widths of $$\chi _{c2}^{\prime } \rightarrow K^*\bar{K}+c.c$$ χc2′→K∗K¯+c.c turns out to be sizeable, while the partial widths of $$\chi _{c2}^{\prime } \rightarrow \rho ^+\pi ^- +c.c$$ χc2′→ρ+π-+c.c is found to be much smaller than the $$K^*\bar{K}+c.c$$ K∗K¯+c.c channel. Our calculations may be examined by the future BESIII experiments.