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 (17)

• Measurement of the Charged Pion Electromagnetic Form Factor
• The $\epem\toπ^+π^-π^+π^-$, $K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections at Center-of-Mass Energies 0.5--4.5 \gev Measured with Initial-State Radiation
• a_1(1260) dominance in the process e+e- \to 4πat energies 1.05--1.38 GeV
• Search for evidence of two photon contribution in elastic electron proton data
• Cross section of the reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ below 1 GeV at CMD-2
• Total Cross Section of the Process e+e- -> pi+pi-pi+pi- in the C.M.Energy Range 980-1380 MeV
• Electron-positron annihilation into four charged pions and the a_1-rho-pi Lagrangian
• Model independent analysis of polarization effects in elastic electron deuteron scattering in presence of two--photon exchange
• Search for two photon exchange from $e^{+}+e^{-}\to p+\bar{p}+\gamma$ data
• $\rho \to 4\pi$ DECAY
• On the role of $a_1(1260)$ meson in the $\tau \to 4\pi {\nu }_{\tau }$ decay
• $\rho \to 4\pi$ in chirally symmetric models
• Polarization effects in $e^{+}+e^{-}\to \bar{d}+d$ and determination of time like deuteron form factors
• Role of a_1(1260) resonance in multipion decays of light vector mesons
• Polarization effects in the reaction $e^{+}+e^{-}\to {\rho }^{+}+{\rho }^{-}$ and determination of the $\rho -$ meson form factors in the time--like region
• $\tau \to \rho \pi \pi \nu$ decays
• Polarization Phenomena in Hadronic and Nuclear Processes in Threshold Regime

Cited by in corpus (1)

• Annihilation of $\bar{p}+p\to e^{+}+e^{-}+{\pi }^0$ and $\bar{p}+p\to \gamma +{\pi }^0$ through $\omega$-meson intermediate state