Comparative study of the production of scalar and tensor mesons in   $e^+e^-$ collisions

N.N. Achasov; A.I. Goncharenko; A.V. Kiselev; E.V. Rogozina

arXiv:1307.1750·hep-ph·December 16, 2013

Comparative study of the production of scalar and tensor mesons in $e^+e^-$ collisions

N.N. Achasov, A.I. Goncharenko, A.V. Kiselev, E.V. Rogozina

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TL;DR

This paper compares the production rates of scalar and tensor mesons in electron-positron collisions at VEPP-2000 and DAΦNE, using theoretical models to predict cross sections and angular distributions for these processes.

Contribution

It provides the first theoretical estimates of tensor meson production in the VEPP-2000 energy region using VDM and kaon loop models.

Findings

01

Tensor meson production cross section ~10 pb at VEPP-2000 energies.

02

Scalar meson production cross section ~0.1 pb at VEPP-2000 energies.

03

Photon angular distributions and spin density matrices were calculated.

Abstract

The intensity of scalar $a_{0} (980)$ , $f_{0} (980)$ and tensor $a_{2} (1320)$ , $f_{2} (1270)$ mesons production at VEPP-2000 (BINP, Novosibirsk) and the upgraded DA $Φ$ NE (Frascati, Italy) in the processes $e^{+} e^{-} \to a_{0} (f_{0}$ , $a_{2}$ , $f_{2}) γ$ is calculated. The calculation was made with the help of VDM and the kaon loop model (for scalar mesons case). Note that the processes $e^{+} e^{-} \to a_{2} (f_{2}) γ$ have not been studied in the energy region of VEPP-2000. It turned out that in the VEPP-2000 energy region $1.7 - 2.0$ GeV $σ (e^{+} e^{-} \to a_{2} (f_{2}) γ) \sim 10$ pb, and $σ (e^{+} e^{-} \to a_{0} (f_{0}) γ) \sim 0.1$ pb. Photon angle distribution and the spin density matrices of $a_{2}$ and $f_{2}$ were calculated also.

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