Antibound poles in cutoff Woods-Saxon and in Salamon-Vertse potentials

摘要

The motion of l=0 antibound poles of the S-matrix with varying potentialstrength is calculated in a cutoff Woods-Saxon (WS) potential and in theSalamon-Vertse (SV) potential, which goes to zero smoothly at a finitedistance. The pole position of the antibound states as well as of theresonances depend on the cutoff radius, especially for higher node numbers. Thestarting points (at potential zero) of the pole trajectories correlate wellwith the range of the potential. The normalized antibound radial wave functionson the imaginary k-axis below and above the coalescence point have been foundto be real and imaginary, respectively.