Abstract

The possibility of the observation of the vacuum electron-positron pair creation under action of the optical laser field is discussed. We employ the quantum kinetic equation with the source term describing the vacuum pair production. The approximation of the homogeneous electric field, weak in comparison with the critical value <i>E<sub>cr</sub></i> = 10<sup>16</sup><i>V/cm</i>, is used. The electron-positron plasma density changes periodically with a double field frequency. The mean density value is proportional to the square field intensity and does not depend on the frequency. That allows to expect that the possibility to observe the vacuum creation effect by means of the existing optical lasers is not less than one for the planned X-ray free electron lasers.

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