Levinson’s Theorem and the Nonlocal Saito Potential

  •  S.B. Qadri    
  •  B. Mulligan    
  •  Mohammad Mahmood    
  •  J.Y. Al-Khal    


We consider Levinson’s theorem for the nonlocal Saito potential. We find that the phase of the Jost function gives a correct
result for the zero-energy phase shift of  associated with the additional node in the scattering wavefunction. This analysis
takes into account the zero-energy continuum bound state of the potential. A comparison is given with previous results
which do not consider the possibility that such a state is present.

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