The Levinson theorem is generalized to Dirac particles moving in the potential {}V(r){}V₀ when r{≤}a and V(r)=0 when r{≥}a. The number n_κm of bound states for a given angular momentum {κ}=±{}(j+(1/2)) and m=j, j-1, . . .,-j is related to the phase shifts δ_κ(E_ν) of zero-momentum (E_ν=±{}{μ}) scattering states as follows:
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Ma et al. (1985) studied this question.
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