A NOTE ON THE THEORY OF SINGLE PARTICLE POTENTIALS

Wu Shi-shu

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(4) : 510-515

A NOTE ON THE THEORY OF SINGLE PARTICLE POTENTIALS

Wu Shi-shu

Jilin University

Abstract
HTML
Reference
Related

PDF

Abstract：
It is well known that corresponding to the discrete (d) and continuous (c) energyspectra of the nuclei (N+1) and (N-1), the Lehmann representation of the singleparticle (sp) Green function G_αβ(ω) may be separated into two parts: G_αβ(ω)=G_αβ^d(ω)+G_αβ^c(ω). Although G_αβ^d(ω) is a meromorphic function, G_αβ^c(ω) contains branch cuts. In ourprevious discussion of the non-hermitian sp potential u_αβ=M_αβ(ε_β) defined in termsof the mass operator M_αβ(ω), we have only considered G_αβ^d(ω) explicitly. This corres-ponds to a truncation approximation. In this paper, the consequences due to G_αβ^c(ω) are further investigated. It is shown that besides a few new conclusions, all the resultsobtained previously remain true.

References

[1]

吴式枢,物理学报,25 (1976), 433;高能物理与核物理,2 (1978) 10;同左(待发表).这三文简称为文[I],[II]与[III].[2] N. I. Muskhelishvili, Singular Integral Equations, 1953; H. Bremermanrl, Distributions, Complex Va-riables, and Fourier Transforms, 1965.[3] J. R. Schrieffer, many-body Theory, ANL-6527, 1962.[4] J. R. Taylor, Scattering Theory, Ch. 20, 1972.[5] T. T. S.Kou,私人通讯.

[1]	YUAN Shuang-Gui , XU Yan-Bing , DING Hua-Jie , YANG Wei-Fan . ²³⁹Pa May Influence Astrophysics Study. Chinese Physics C, 2006, 30(S2): 233-234.
[2]	Feng Shengzu , Ruan Tunan . Comments on the Bosonnization Technique of Fermions. Chinese Physics C, 1999, 23(11): 1119-1124.
[3]	LIU Ji-Feng , WU Pei-Yun , SHEN Jian-Ping , LI Guang-Lie . The η-N Interaction Potential and the Potential Well Depth of η-meson in Nuclear Matter. Chinese Physics C, 1991, 15(3): 224-233.
[4]	ZHONG Yun-Xiao , CHEN Jun-Zhen . THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS. Chinese Physics C, 1985, 9(3): 356-361.
[5]	SHEN Qing-Biao , LI Zhu-Xia , SHI Xiang-Jun , TIAN Ye , ZHUO Yi-Zhong . off-shell SINGLE-PARTICLE POTENTIAL AND EFFECTIVE MASS CALCULATION WITH SKYRME INTERACTIONS IN NUCLEAR MATTER. Chinese Physics C, 1985, 9(2): 220-228.
[6]	LI Guang-Lie , SHEN Jian-Ping . A Λ-N S WAVE SEPARATION POTENTIAL AND ITS Λ WELL DEPTH IN NUCLEAR MATTER. Chinese Physics C, 1985, 9(4): 442-446.
[7]	SHEN Jian-Ping , LI Guang-Lie . THE POTENTIAL WELL DEPTH OF Λ PARTICLE IN NUCLEAR MATTER DUE TO MESON EXCHANGE POTENTIAL. Chinese Physics C, 1985, 9(3): 307-312.
[8]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[9]	DONG Fang-Xiao , DU Dong-Sheng , ZHOU Xian-Jian , XUE Pei-You . A COMMENT ON GAUGE SYMMETRY BREAKING OF N=2 SUSY GUTS. Chinese Physics C, 1984, 8(6): 781-784.
[10]	DONG Fang-Xiao , SHI Zui-Jian , Du Dong-Sheng . SOME DISCUSSION ON' tHOOFT'S CONDITION. Chinese Physics C, 1983, 7(4): 523-525.
[11]	ZHUO YI-ZHONG , ZHANG JING-SHANG , Wu XI-ZHEN , MA ZHONG-YU . THE TRANSPORT THEORY OF A COUPLING SYSTEM SIMULTANEOUSLY INVOLVING THE RELATIVE MOTION,COLLECTIVE OSCILLATIONS AND SINGLE PARTICLE EXCITATIONS. Chinese Physics C, 1981, 5(5): 584-592.
[12]	WANG MING-ZHONG , ZHENG XI-TE , XIAN DING-CHANG , ZHANG ZHENG-GANG , . A DISCUSSION ON THE MASS OF MONOPOLE. Chinese Physics C, 1981, 5(6): 741-743.
[13]	Zhuo Yi-zhong , Zhang Jing-Shang , Wu Xi-zhen , Ma Zhong-yu . THE TRANSPORT THEORY OF A COUPLING SYSTEM SIMULTANEOUSLY INVOLVING THE RELATIVE MOTION COLLECTIVE OSCILLATIONS AND SINGLE PARTICLE EXCITATIONS. Chinese Physics C, 1980, 4(5): 675-679.
[14]	Zheng Yu-ming , Lu Zhao-qi , Chen Yong-shou . THE FOLDING POTENTIAL OF THE DOUBLE WELL-CLUSTER SHELL MODEL. Chinese Physics C, 1980, 4(1): 109-112.
[15]	Ruan Tu-nan , Zhu Xi-quan , He Zho-xiu . DERIVATION OF A QUASIPOTENTIAL EQUATION FROM AN EQUATION OF THE BE THE-SALPETER TYPE. Chinese Physics C, 1980, 4(2): 186-190.
[16]	DONG FANC-XIAO , ZHOU XIAN-JIA , HUANG TAO , XUE PEI-YOU . SOME CONJECTURES ON LEPAONIC AND STRATON'IC SPECTRA. Chinese Physics C, 1979, 3(1): 127-130.
[17]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.
[18]	Wu SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES. Chinese Physics C, 1979, 3(2): 240-243.
[19]	Wu Shi-shu . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅱ) THE NONHERMITIAN CHOICE. Chinese Physics C, 1978, 2(1): 10-22.
[20]	Wu Yong-shi , Peng Chia-kwei . A NOTE ON THE EQUATIONS OF SU(2) INSTANTONS. Chinese Physics C, 1978, 2(1): 87-89.

Access

Get Citation

Wu Shi-shu. A NOTE ON THE THEORY OF SINGLE PARTICLE POTENTIALS[J]. Chinese Physics C, 1980, 4(4): 510-515.

Wu Shi-shu. A NOTE ON THE THEORY OF SINGLE PARTICLE POTENTIALS[J]. Chinese Physics C, 1980, 4(4): 510-515. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-03-13
Revised: 1900-01-01

Article Metric

Article Views(1765)
PDF Downloads(274)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A NOTE ON THE THEORY OF SINGLE PARTICLE POTENTIALS

Wu Shi-shu

Jilin University

Received Date: 1979-03-13
Accepted Date: 1900-01-01
Available Online: 1980-08-05

Abstract: It is well known that corresponding to the discrete (d) and continuous (c) energyspectra of the nuclei (N+1) and (N-1), the Lehmann representation of the singleparticle (sp) Green function G_αβ(ω) may be separated into two parts: G_αβ(ω)=G_αβ^d(ω)+G_αβ^c(ω). Although G_αβ^d(ω) is a meromorphic function, G_αβ^c(ω) contains branch cuts. In ourprevious discussion of the non-hermitian sp potential u_αβ=M_αβ(ε_β) defined in termsof the mass operator M_αβ(ω), we have only considered G_αβ^d(ω) explicitly. This corres-ponds to a truncation approximation. In this paper, the consequences due to G_αβ^c(ω) are further investigated. It is shown that besides a few new conclusions, all the resultsobtained previously remain true.