Covariant tensor formalism for partial wave analyses of $\psi$ decays into $\gamma B\bar{B}$, $\gamma \gamma V$ and $\psi (2S)\to \gamma {\chi }_{c0,1,2}$ with ${\chi }_{c0,1,2}\to K\bar{K}{\pi }^{+}{\pi }^{-}$ and $2{\pi }^{+}2{\pi }^{-}$

Abstract

With accumulation of high statistics data at BES and CLEO-c, many new interesting channels can get enough statistics for partial wave analysis (PWA). Among them, $\psi \to \gamma p\bar{p},\gamma \Lambda \bar{\Lambda },\gamma \Sigma \bar{\Sigma },\gamma \Xi \bar{\Xi }$ channels provide a good place for studying baryon-antibaryon interactions; the double radiative decays $\psi \to \gamma \gamma V$ with $V\equiv \rho ,\omega ,\varphi$ have a potential to provide information on the flavor content of any meson resonances (R) with positive charge parity ($C=+$) and mass above 1 GeV through $\psi \to \gamma R\to \gamma \gamma V$; $\psi (2S)\to \gamma {\chi }_{c0,1,2}$ with ${\chi }_{c0,1,2}\to K\bar{K}{\pi }^{+}{\pi }^{-}$ and $2{\pi }^{+}2{\pi }^{-}$ decays are good processes to study ${\chi }_{cJ}$ charmonium decays. Using the covariant tensor formalism, here we provide theoretical PWA formulae for these channels.

Comments: 20 pages