Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$

Abstract

We study the $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$ processes in the perturbative QCD approach based on $k_T$ factorization, where the $P,V$ and $T$ denotes a light pseudo-scalar, vector and tensor meson, respectively. We point out in the case of $e^{+}{e}^{-}\to TP$ transition due to charge conjugation invariance, only three channels are allowed: $e^{+}{e}^{-}\to a_2^{\pm }{\pi }^{\mp }$, $e^{+}{e}^{-}\to K_2^{\ast \pm }{K}^{\mp }$ and the V-spin suppressed $e^{+}{e}^{-}\to K_2^{\ast 0}{\bar{K}}^0+{\overline{K}}_2^{\ast 0}{K}^0$. Cross sections of $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$ at $\sqrt{s}=3.67$ GeV and $\sqrt{s}=10.58$ GeV are calculated and the invariant mass dependence is found to favor the $1/s^4$ power law. Most of our theoretical results are consistent with the available experimental data and other predictions can be tested at the ongoing BESIII and forthcoming Belle-II experiments.

Comments: 19 pages,1 figure