Physical Review C
An s-wave two-body separable potential may give rise to several phenomena which are absent for nonsingular local potentials. We examine the physical implications of a well known example of such phenomena, the continuum bound state, as well as of two lesser known anomalies, the so-called positive energy spurious state and negative energy bound states with improper long-range behavior. By examining these anomalies in light of Levinson's theorem, Wigner's phase shift inequality, and the effect of a perturbation on the anomalous states by their insertion in a three-body scattering situation, we find in agreement with previous studies that the continuum bound state acts as a resonance of negligible width. However, we find it difficult to see how the presence of a spurious state can be detected experimentally.
Foldy, L. L. and Lock, James A., "Physical Consequences of Anomalies in Nonlocal Potential Problems" (1979). Physics Faculty Publications. 14.
Foldy, L. L. and James A. Lock. "Physical Consequences of Anomalies in Nonlocal Potential Problems." Physical Review C 20 (1979): 418-425.
Copyright 1979 American Physical Society. Available on publisher's site at http://link.aps.org/doi/10.1103/PhysRevC.20.418.