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Electron-positron pair production in an arbitrary polarized ultrastrong laserfield is investigated in the first order perturbation approximation in whichthe Volkov states are used for convenient calculation of scattering amplitudeand cross section. It is found surprisingly that the optimal pair productiondepends strongly on the polarization. For some cases of field parameters, theoptimal field is elliptically polarized or evenly circularly polarized one,rather than the usual linear polarization as indicated by previous works. Someinsights into pair generation are given and some interesting unexpectedfeatures are also discussed briefly.

Electron-positron pair production in an arbitrary polarized ultrastrong laser field