Partial Wave Analysis of $J/\psi \to \gamma ({\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-})$

Abstract

BES data on $J/\psi \to \gamma ({\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-})$ have been analyzed into partial waves. We fit with resonances having $J^{PC}=2^{++}$ at 1275 MeV, $0^{++}$ at 1500 MeV, $2^{++}$ at 1565 MeV, $0^{++}$ at 1740 MeV, $2^{++}$ at 1940 MeV and $0^{++}$ at 2104 MeV, plus a broad $0^{-}$ component. The $0^{++}$ resonances decay dominantly to $\sigma \sigma$, while $2^{++}$ resonances in the high mass region decay mainly to $f_2(1270)\sigma$ and $\sigma \sigma$; $2^{++}$ resonances from the low mass region decay dominantly to $\rho \rho$.

16 pages, 6 figures, 2 tables, Submitted to PLB

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