Unitarity of the Aharonov-Bohm Scattering Amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, REVTEX

Scientific paper

10.1142/S0217751X98000366

We discuss the unitarity relation of the Aharonov-Bohm scattering amplitude with the hope that it distinguishes between the differing treatments which employ different incident waves. We find that the original Aharonov-Bohm scattering amplitude satisfies the unitarity relation under the regularization prescription whose theoretical foundation does not appear to be understood. On the other hand, the amplitude obtained by Ruijsenaars who uses plane wave as incident wave also satisfies the unitarity relation but in an unusual way.

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