Polarization effects in the reaction $e^{+}+e^{-}\to {\rho }^{+}+{\rho }^{-}$ and determination of the $\rho -$ meson form factors in the time--like region

Abstract

The electron positron annihilation reaction into four pion production has been studied, through the channel $e^{+}+e^{-}\to \bar{\rho }+\rho$. The differential (and total) cross sections and various polarization observables for this reaction have been calculated in terms of the electromagnetic form factors of the corresponding ${\gamma }^{\ast }\rho \rho$ current. The elements of the spin--density matrix of the $\rho -$meson were also calculated. Numerical estimations have been done, with the help of phenomenological form factors obtained in the space--like region of the momentum transfer squared and analytically extended to the time-like region.

arXiv comment19 pages, 2 figures, to appear in Phys Rev C

References in corpus (16)

• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• Proton elastic form factor ratios to $Q^2$ = 3.5 GeV${}^2$ by polarization transfer
• Measurement of the Charged Pion Electromagnetic Form Factor
• Electromagnetic structure of the deuteron
• Nucleon and pion electromagnetic form factors in a light-front constituent quark model
• 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
• Covariant and ligth-front approaches to the rho-meson eletromagnetic form factors
• Electromagnetic form factors of the $\rho$ meson in a light-front constituent quark model
• Re-analysis of the nucleon space- and time-like electromagnetic form factors in a two-component model
• a_1(1260) dominance in the process e+e- \to 4πat energies 1.05--1.38 GeV
• Hard Constituent Quarks and Electroweak Properties of Pseudoscalar Mesons
• Nucleon electromagnetic form factors and polarization observables in space-like and time-like regions
• Rotational covariance and light-front current matrix elements
• Polarization effects in $e^{+}+e^{-}\to \bar{d}+d$ and determination of time like deuteron form factors
• $\tau \to \rho \pi \pi \nu$ decays

Cited by in corpus (8)

• Light-Front projection of spin-1 electromagnetic current and zero-modes
• Rho meson form factors in a confining Nambu--Jona-Lasinio model
• Purely leptonic decays of the ground charged vector mesons
• Experimental constraint on the $\rho -$ meson form factors in the time--like region
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Rho-meson properties in medium
• Annihilation of $\bar{p}+p\to e^{+}+e^{-}+{\pi }^0$ and $\bar{p}+p\to \gamma +{\pi }^0$ through $\omega$-meson intermediate state
• Cross section and polarization observables for the reaction $e^{+}+e^{-}\to a_1(1260)+\pi$