Coulomb Final State Interaction in Pion Interferometry for the Processes of High Multiplicity

The corrections for two pion correlations due to electromagnetic final state interactions at high secondary multiplicities are investigated. It is shown that these result in a noticeable deviation from the standard Gamov factor. This conclusion changes drastically in a model of the pion system with expansion. The critical parameter which determines the size of these effects is found to be the ratio of the relative velocity of detected pions to the velocity of the pair center-of-mass (in the fireball rest frame). In particular, when this parameter is much less than unity the pion pair escapes the initial high density region promptly and the distortion of the mutual Coulomb potential is weak.