Abstract
The kinematics-free angular momentum trajectory, called the ..gamma.. trajectory, is illustrated numerically in nonrelativistic potential scattering using Yukawa and exponential potentials of various strengths. The ..gamma.. trajectory, in contrast to the ..cap alpha.. (Regge) trajectory, is free of elastic kinematics and so is real for all energies above threshold and real for certain energies below threshold. Resonances are caused when the ..gamma.. trajectory passes through the resonance angular momentum at the resonance energy, and bound states are caused when the ..gamma.. trajectory passes near the bound-state angular momentum at the bound-state energy. Numerical illustrations of the following ..gamma.. trajectory characteristics are given: the reality of ..gamma.., bound-state and resonance production, threshold and high-energy behavior, and collisions of trajectories below threshold. In addition, general properties of ..gamma.. trajectories in the context of potential scattering are discussed.
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