The decay J / psi --> gamma pi degrees pi degrees is studied with 7.0 x 10(
6) produced J / psi events collected by the Beijing Spectrometer (BES) with
the trigger mode sensitive to both charged and neutral final state at the
Beijing Electron-Positron Collider (BEPC). The evidences for the existence
of f(J) (1710) and xi (2230) in this channel are presented, and the corresp
onding masses as well as the product branching ratios are obtained.