Document Type
Article
Publication Date
8-1-1979
Publication Title
Physical Review C
Abstract
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.
Repository Citation
Foldy, L. L. and Lock, James A., "Physical Consequences of Anomalies in Nonlocal Potential Problems" (1979). Physics Faculty Publications. 14.
https://engagedscholarship.csuohio.edu/sciphysics_facpub/14
Original Citation
Foldy, L. L. and James A. Lock. "Physical Consequences of Anomalies in Nonlocal Potential Problems." Physical Review C 20 (1979): 418-425.
DOI
10.1103/PhysRevC.20.418
Version
Publisher's PDF
Publisher's Statement
Copyright 1979 American Physical Society. Available on publisher's site at http://link.aps.org/doi/10.1103/PhysRevC.20.418.
Volume
20
Issue
2
