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We report an analysis of electron-optical properties of a toroidal magneticsector spectrometer and examine parameters for its implementation in arelativistic heavy-ion storage ring like HESR. For studies of free-free pairproduction in heavy-ion atom collisions this spectrometer exhibits very highefficiencies for coincident $e^+e^-$ pair spectroscopy over a wide range ofmomenta of emitted lepton pairs. The high coincidence efficiency of thespectrometer is the key for stringent tests of theoretical predictions for thecoincident positron- and electron- emission characteristics and for the phasespace correlation of lepton vector momenta in free-free pair production.

The Magnetic Toroidal Sector as A broad-band Electron-Positron Pair Spectrometer I. Lepton Trajectories