This article is cited in 2 papers

Impact parameter representations from the point of view of the Poincaré group

A. A. Andrianov


Abstract: Impact parameter representations for the two-particle scattering amplitude are derived by expanding the two-particle state with respect to groups that are isomorphic to the group of motions of the plane $E(2)$. The generators of these groups are expressed in terms of the operators of the total angular momentum and the relative momentum of two particles, As a result, the impact parameter operator and states of two particles with definite impact parameter acquire a meaning in terms of the Poincaré group.

Received: 20.11.1972

 English version: Theoretical and Mathematical Physics, 1973, 17:3, 1234–1243

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