THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

WU HUI-FANG; Yu YOU-WEN; ZHANG ZONG-YIE

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> 1981, Vol. 5> Issue(2) : 211-216

THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

Abstract
HTML
Reference
Related

PDF

Abstract：
In order to study the structure of the bound states of the p-p system, a Schrodinger equation of a complex square well with finite depth is solved exactly. We have calculated the variation of the widths Γ of the energy levels with the depth ξ and the range a₁ of the virtual part of the potential and compared them with the perturbation results. We come to the conclusion that (ⅰ) the narrow widths of the bound states are obtained; (ⅱ) the perturbation method can not be used to calculate the widths of the levels for a complex square well when the depth of the virtual part of the potential is much larger than the real part; (ⅲ) to describe annihilation of p-p system by means of the absorption potential not only depends on ξ, the depth of the virtual part of the potential, but also on the range a₁.

References

[1]	K. Bilian and B. Pietrsyk,第七次高能物理与核结构会议集.[2] L. Montanet,第五次实验介子谱会议集.[3] C, B. Dover and M. Gloldhaper, Phys. Rev., D15 (1977), 1997.[4] I. S. Shapiro, Phys. Repo., 35C(1978), 131,[5] R. A. Btyan and R. J. N. Phillips, Nucl. Phys., B5 (1968), 201.

[1]	XU Qiang , ZHU Sheng-Jiang . Splitting of Pseudospin and Spin Partners in the Relativistic Square Well. Chinese Physics C, 2006, 30(S2): 71-74.
[2]	HUO Lei , ZHANG Jing-Bo , ZHANG Wei-Ning , CHEN Xiang-Jun , TANG Gui-Xin . Anisotropic Transverse Flow and Multiparticle Azimuthal Correlation in Heavy Ion Collisions. Chinese Physics C, 2003, 27(3): 249-252.
[3]	NI Zhi-Xiang . Nonlinear Spectrum and Generating Algebra for Infinitely Deep Square Well Potential and New Coherent State. Chinese Physics C, 2001, 25(6): 487-493.
[4]	YU Wan-Li , LUO Yong-An , WANG Ming-Zhi , ZHENG Qiu-Ju , ZHANG Hui-Jun , TIAN Yu-Lian , HUANG Wan-Xia . A New Method to Determine the Orientations of Crystal Defects by Synchrotron Radiation. Chinese Physics C, 2001, 25(S1): 110-115.
[5]	Ye Wei , Shen Wenqing , Ma Yugang , Feng Jun . Azimuthal Distribution and Azimuthal Correlation of the Particles in 10.6MeV/u ⁸⁴Kr+²⁷Al Collision. Chinese Physics C, 1997, 21(1): 1-7.
[6]	Wang Shaoshun , Li Zuhao , Zhang Jie , Xiao Chenguo , Ye Yunxiu , Shen Tianguang . The Azimuthal Structure of Particles Produced in pp Collisions at 400 GeV/c. Chinese Physics C, 1996, 20(4): 297-303.
[7]	Liu Fuhu . Azimuthal Correlation in Nuclear Multifragmentation at Intermediate-Energy. Chinese Physics C, 1995, 19(3): 217-222.
[8]	YAO Yu-Jie , Jing Xiao-Gong , ZHAO Guo-Quan , WU Shi-Shu . Imaginary Eigenvalue Solution in RPA and Phase Transition. Chinese Physics C, 1993, 17(8): 757-762.
[9]	YU Qing-Chang . The Electron Cloud Produced by Intense Ion Beam in Penning Trap. Chinese Physics C, 1992, 16(1): 11-14.
[10]	LIU Qing-Jun , JIANG Yu-Zhen , WANG Shan , LIU Yi-Ming . Multi-Particle Azimuthal Correlations and the Nuclear Equation of State. Chinese Physics C, 1992, 16(9): 801-806.
[11]	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.
[12]	WANG Shan , LIU Yi-Ming , JIANG Yu-Zhen , CHEN Xiao-Fan . AZIMUTHAL CORRELATION FUNCTION AND THE NUCLEAR EQUATION OF STATE. Chinese Physics C, 1990, 14(10): 907-911.
[13]	HE Yu-Dong , ZHU Qing-Qi , HUO An-Xiang . INTERPRETATION OF AZIMUTHAL ANISOTROPICAL GAMMA-FAMILY EVENTS. Chinese Physics C, 1989, 13(5): 476-480.
[14]	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.
[15]	HAN HUI-YI , ZHEN CHANG-YIN , GENG TIAN-MING , WU HUI-FANG . EIGEN SOLUTION OF B-T EQUATION FOR COMPLEX SQUARE POTENTIAL WELL. Chinese Physics C, 1981, 5(6): 648-652.
[16]	Wu Shi-shu . A NOTE ON THE THEORY OF SINGLE PARTICLE POTENTIALS. Chinese Physics C, 1980, 4(4): 510-515.
[17]	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.
[18]	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.
[19]	Wu SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅳ) MANY-BODY FORCES. Chinese Physics C, 1979, 3(2): 240-243.
[20]	Wu Shi-shu . ON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅱ) THE NONHERMITIAN CHOICE. Chinese Physics C, 1978, 2(1): 10-22.

Access

Get Citation

WU HUI-FANG, Yu YOU-WEN and ZHANG ZONG-YIE. THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL[J]. Chinese Physics C, 1981, 5(2): 211-216.

WU HUI-FANG, Yu YOU-WEN and ZHANG ZONG-YIE. THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL[J]. Chinese Physics C, 1981, 5(2): 211-216. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-09-26
Revised: 1900-01-01

Article Metric

Article Views(2113)
PDF Downloads(295)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

Received Date: 1979-09-26
Accepted Date: 1900-01-01
Available Online: 1981-04-05

Abstract: In order to study the structure of the bound states of the p-p system, a Schrodinger equation of a complex square well with finite depth is solved exactly. We have calculated the variation of the widths Γ of the energy levels with the depth ξ and the range a₁ of the virtual part of the potential and compared them with the perturbation results. We come to the conclusion that (ⅰ) the narrow widths of the bound states are obtained; (ⅱ) the perturbation method can not be used to calculate the widths of the levels for a complex square well when the depth of the virtual part of the potential is much larger than the real part; (ⅲ) to describe annihilation of p-p system by means of the absorption potential not only depends on ξ, the depth of the virtual part of the potential, but also on the range a₁.