Prog. Theor. Phys. Vol. 39 No. 5 (1968) pp. 1319-1325
Two-Dimensional Euclidean Group and the Partial-Wave Expansion. I
Department of Physics, University of Tokyo, Tokyo
(Received December 25, 1967)
When we decompose the invariant amplitude f(s, t) into the partial-wave scattering amplitudes for fixed t, we must consider four different cases according to the values of t. The amplitude f(s, t) is considered as a function over a little group. For t=0, two cases occur; we treat the case where the little group is two-dimensional Euclidean group E2. Taking f(s, t=0) as a function over E2, we get the partial-wave expansion according to the unitary irreducible representations of E2 and can pick out the Regge behavior from this expansion. We find that this group-theoretical method is essentially the “eikonal” approximation representation.
DOI : 10.1143/PTP.39.1319
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Citing Article(s) :
Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 620-627
Normalization of the Degenerate B-S Amplitudes