Abstract
The possibility of the existence of “free” Schrödinger anyons is considered. It is shown that special type of contact interactions exists when scattering does not arise. By formulating the problem for the two-particle system with a finite region of interaction which is then allowed to go to zero, it is established that this type of the contact interactions is the analog of the anomalous magnetic moment for fermions in the Aharonov-Bohm field. Finally, we consider connections with the Dirac anyon physics and low energy dynamics of [U(1)]2 Chern-Simons solitons.
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