Positronium Decay in a Circular Polarized Laser Field

We calculate the lifetime of both the o-Ps and the p-Ps positronium annihilation decay Ps →γγ in the strong circular polarized laser field. We take a strategy of the faztorization to separate the effects caused by the Coulomb interaction and the strong laser 6eld interaction. It is factorized in the time direction but not in the space direction. Our results show that in the laser with long wavelength and high intensity, the lifetimes of those Ps states are dramatically increased. For C02 laser with 10 μm wavelength and 1013 W/cm2 intensity, lifetime of the spin-single positronium is increased by 108 times. Our result is consistent with those obtained by solving the SchSdinger equation. This effect may be useful for the high harmonic generation （HHG） effects provided with the Ps [Phys. Rev. Lett. 70 （1993） 774; Phys. Rev. Lett. 93 （2004） 013601].