Abstract
A detailed study is carried out of the fundamental roles of the emission and detection sources in the one-body and the many-body Coulomb scattering. It is shown that the emission and detection sources, as amplitudes of emission and detection of charged particles, are to have given time-dependent structures for a correct formulation of the problem. The method incorporates the long range effect of the Coulomb field which persists even at large distance separations. Most importantly, composite sources are necessarily introduced for the many-body Coulomb scattering which act as emission and detection sources of “clusters” of charged particles and reflect the physically important fact that charged particles feel the presence of each other even before or after “collisions”. A complete concellation of the so-called Dalitz phase factor naturally follows leading to infra-red finite transition amplitudes (as opposed only of transition probabilities) by a systematic use, in the process, of a unitarity sum with respect to the external sources.
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