THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

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

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]	WANG Jin-Chuan , ZHAN Wen-Long , GUO Zhong-Yan , XI Hong-Fei , ZHOU Jian-Qun , ZHAO You-Xiong . Azimuthal Correlations of Fragments with Light Charged Particles in Reaction of 25MeV/u ⁴⁰Ar+¹¹⁵In. Chinese Physics C, 2001, 25(1): 16-22.
[5]	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.
[6]	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.
[7]	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.
[8]	Liu Fuhu . Azimuthal Correlation in Nuclear Multifragmentation at Intermediate-Energy. Chinese Physics C, 1995, 19(3): 217-222.
[9]	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.
[10]	YU Qing-Chang . The Electron Cloud Produced by Intense Ion Beam in Penning Trap. Chinese Physics C, 1992, 16(1): 11-14.
[11]	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.
[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(2992)
PDF Downloads(297)
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

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.