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

Wu SHI-SHU

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(2) : 240-243

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

Wu SHI-SHU

Department of Physics,Jilin University

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

References

[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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[20]	Wu Shi-shu . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅱ) THE NONHERMITIAN CHOICE. Chinese Physics C, 1978, 2(1): 10-22.

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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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1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Wu SHI-SHU

Department of Physics,Jilin University

Received Date: 1978-02-18
Accepted Date: 1900-01-01
Available Online: 1979-04-05

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