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Abstract:
It is shown that even if the nucleon-nucleon interactions contain many-body forces,the discrete energy eigenvalues εγ determined by the non-hermitian sp potential uαβ=Mαβ(εβ)still possess the following properties:Gγα(εγ)=∞,for at least one α,Since the points at which Gγα(ω) tends to ∞ areeither its poles or the heads of its branch cuts (where Gγα(ω) is log-divergent),itfollows that εγ are real and satisfy the relation.εγ=±[Enγ(N±1)-E0(N)].
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