Cross section and polarization observables for the reaction $e^{+}+e^{-}\to a_1(1260)+\pi$

Abstract

A model independent formalism for the electron positron annihilation reaction $e^{+}+e^{-}\to a_1(1260)+\pi$ has been derived. The differential and total cross sections and the elements of the spin--density matrix of the $a_1$-meson were calculated in terms of the electromagnetic form factors of the corresponding ${\gamma }^{\ast }{a}_1\pi$ current. Simple models of $a_1$ form factors have been fitted to the available cross section data and they allow to give numerical predictions for the different observables.

19 pages, 6 figures Added formulas for axial meson decay in 3 pions Modified version to appear in PRC

References in corpus (1)

• Search for two photon exchange from $e^{+}+e^{-}\to p+\bar{p}+\gamma$ data