Mathematics – Probability
Scientific paper
Mar 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991svjnp..53..473t&link_type=abstract
Sov. J. Nucl. Phys., Vol. 53, No. 3, p. 473 - 477
Mathematics
Probability
Scientific paper
A study is made of photon emission from the vacuum accompanied by production of an arbitrary number of electron-positron pairs in a Robertson-Walker space with the expansion law a(t) = a0(t)1/2. In Minkowski space, this process is forbidden by the conservation laws. The total probability of the process and the mean number of Dirac particles produced in the process of interaction of the quantized fields are calculated. Approximate expressions for the probability of emission of soft and hard photons are found. Numerical estimates are obtained for the mean number Nγ of emitted photons and the number ND of produced particles, and they are compared with the number N0 of Dirac particles produced from the vacuum in the absence of radiative interaction. The comparison shows that ND = 0.90 Nγ and Nγ = 1.25×10-3N0.
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