ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES

  • 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=Mαβεβ)still possess the following properties:Gγαεγ)=∞,for at least one α,Since the points at which Gγαω) tends to ∞ areeither its poles or the heads of its branch cuts (where Gγαω) is log-divergent),itfollows that εγ are real and satisfy the relation.εγ=±[EN±1)-E0N)].
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  • [1] 吴式枢,高能物理与核物理,(待发表).[2] 吴式枢,物理学报,25 (1976), 433;高能物理与核物理,2(1978), 10.
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Get Citation
Wu SHI-SHU. ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES[J]. Chinese Physics C, 1979, 3(2): 240-243.
Wu SHI-SHU. ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES[J]. Chinese Physics C, 1979, 3(2): 240-243. shu
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Received: 1978-02-18
Revised: 1900-01-01
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ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES

  • Department of Physics,Jilin University

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=Mαβεβ)still possess the following properties:Gγαεγ)=∞,for at least one α,Since the points at which Gγαω) tends to ∞ areeither its poles or the heads of its branch cuts (where Gγαω) is log-divergent),itfollows that εγ are real and satisfy the relation.εγ=±[EN±1)-E0N)].

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