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: $e^+e^-\to a_2^{\pm} \pi^\mp$, $e^+e^-\to K_2^{*\pm} K^\mp$ and the V-spin suppressed $e^+e^-\to K_2^{*0} \bar K^0+\overline K_2^{*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.
Highlights
The exclusive processes of eþe− annihilating into two mesons provide an opportunity to investigate various timelike meson form fpacffiffitors
We study the eþe− → VP and eþe− → TP processes in the perturbative QCD approach based on kT
A modified perturbative QCD approach based on kT factorization, called PQCD approach for brevity, is proposed [6,7,8,9,10,11] and has been successfully applied to many reactions [5,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]
Summary
The exclusive processes of eþe− annihilating into two mesons provide an opportunity to investigate various timelike meson form fpacffiffitors. It is anticipated that hard exclusive processes with hadrons involve both perturbative and nonperturbative strong interactions. A modified perturbative QCD approach based on kT factorization, called PQCD approach for brevity, is proposed [6,7,8,9,10,11] and has been successfully applied to many reactions [5,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] In this approach, the transverse momentum of partons in the meson is kept to kill endpoint divergences.
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