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 _γdetermined 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_γare real and satisfy the relation. ε_γ=±[ E_nγ（ N±1）- E ₀（ 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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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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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_γdetermined by the non-hermitian sp potentialu_αβ=M_αβ（ε_β）still possess the following properties:G_γα（ε_γ）=∞,for at least one α,Since the points at whichG_γα（ω） tends to ∞ areeither its poles or the heads of its branch cuts (whereG_γα（ω） is log-divergent),itfollows thatε_γare real and satisfy the relation.ε_γ=±[E_nγ（N±1）-E₀（N）].