Positive energy bound states (PEBS) are introduced through a brief historical background. Few examples, including cases with partial waves higher than the 0th order, are then demonstrated.
Related problems, such as the modification of Levinson's theorem, PEBS with perturbations and the interpretation of PEBS have been reviewed.
The present status of the subject is then discussed.
For a rank-n separable potential, some of the conditions for the existence of positive energy bound states are given and discussed. It has been shown that scattering can occur at positive energy bound states and only a particular type of them can be interpreted as zero-width resonances.
Proton scattering from a medium weight nucleus and the possibility of finding tWQ resonances, with the same spin but opposite parity, overlapping is studied. As a guide to the experimental study of this possibility we have constructed a simple separable potential model involving spin ~-spin 0 scattering that contains the required resonances for adjacent I values in the absence of a parity-violating (PV) interaction. A phenomenological PV interaction is then introduced and the magnitude of the longitudinal asymmetry is studied as a function of the model parameters. It is found that the magnitude of the asymmetry is greatest at zero separation for the case of narrow resonance levels.
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