Rho primes in analyzing e+e- annihilation, MARK III, LASS and ARGUS data

Abstract

The results of an analysis are presented of some recent data on the reactions $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$, $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0{\pi }^0$ with the subtracted $\omega {\pi }^0$ events, $e^{+}{e}^{-}\to \omega {\pi }^0$, $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$, $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$, $K^{-}p\to {\pi }^{+}{\pi }^{-}\Lambda$, the decays $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$, $ta{u}^{-}\to {\nu }_{t}au{\pi }^{+}{\pi }^{-}{\pi }^{-}{\pi }^0$ $ta{u}^{-}\to {\nu }_{\tau }\omega {\pi }^{-}$, upon taking into account both the strong energy dependence of the partial widths on energy and the previously neglected mixing of the $\rho$ type resonances. The above effects are shown to exert an essential influence on the specific values of masses and coupling constants of heavy resonances and hence are necessary to be accounted for in establishing their true nature.

Comments: 20 pages, ReVTeX, 9 Postscript figures As compared to hep-ph/9607398, new material concerning the analysis of the ARGUS data on the tau decays into four pion hadronic states is added