The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems

DUAN Yi-Wu; WU Wei-Ping; BAO Cheng-Guang; AN Wei-Ke

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> 1991, Vol. 15> Issue(1) : 42-45

The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems

Department of Physics,Xiangtan Normal college,Hunan 4111001 Department of Physics,Zhongshan University,Guangzhou 5102752 Department of Physics,Loudi Teachers College Hunan 417000

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,the harmonic oscillator approach to the bound states of few-body ststems is developed and the lower-energy states are introduced as basis vectors and mixed with a part of harmonic oscillator vectors to calculate the binding energy.The lower energy levels of 3-α system and ⁹Be are presented and compared with experiments or other calculations.The results are satisfactory.

References

[1]	C. G. Bao, Nucl. Phys., A373(1982), 1.[2] W. Tobocman, Nucl. Phys., A357(1981), 293.[3] Y. P. Gan, et al., Computer Physics Communications, 34(1985), 387.[4] A. R. Bodmer, et al., Nucl. Phys, 56(1964), 657.[5] Y. C. Tang, et al., Phys. Rev., B138(1965), 637.

[1]	XU Qiang , ZHU Sheng-Jiang . Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator. Chinese Physics C, 2007, 31(3): 251-257.
[2]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-scale Perturbation Theory of Sextic Anharmonic Oscillator. Chinese Physics C, 2006, 30(6): 513-516.
[3]	WANG Zhong-Qing , ZHOU Ping , ZHU Lian-Xuan , DAI Hong-Ying . Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties. Chinese Physics C, 2004, 28(4): 365-369.
[4]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[5]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[6]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[7]	WANG Zhong-Qing . Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator. Chinese Physics C, 2001, 25(11): 1044-1050.
[8]	WANG Ji-Suo , LIU Tang-Kun , ZHAN Ming-Sheng . Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2001, 25(1): 11-15.
[9]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[10]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[11]	Wang Jisuo , Sun Changyong , He Jinyu . Eigenstates of the Higher Power of the Annihilation Operator ofTwo-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1996, 20(8): 703-706.
[12]	Yang Chunbin , Cai Xu . 0^－ Heavy Meson Bound States at Heavy Quark Expansion. Chinese Physics C, 1995, 19(4): 327-331.
[13]	JIANG Huanqing , ZHANG Weifeng . η_c-Nuclear Bound States. Chinese Physics C, 1993, 17(11): 1021-1025.
[14]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.
[15]	LI Yuan-Jie . THE BOUND STATES OF A BOSON IN THE FIELD OF KERR-NEWMAN'S NAKED SINGULARITY. Chinese Physics C, 1987, 11(2): 198-201.
[16]	LI Yuan-Jie , ZHANG Duan-Ming . CHARGED BOSON BOUND STATES IN THE KERR-NEWMAN METRIC. Chinese Physics C, 1986, 10(4): 412-419.
[17]	QI Yong-Chang . ON THE SUPERHEAVY FERMION——SO(10) MONOPOLE ZERO-ENERGY BOUND STATES. Chinese Physics C, 1986, 10(5): 545-552.
[18]	WANG Ke-Lin , ZHANG Jian-Zu . BOUND STATE CONDITION OF FERMION AND JULIA-ZEE DYON SYSTEM. Chinese Physics C, 1985, 9(2): 161-167.
[19]	ZHAO Guang-Da . BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[20]	Liu Bo , LI Qing-run , Zhao En-guang . THE BOUND STATES OF THE ISOBAR △ (1236). Chinese Physics C, 1980, 4(1): 8-11.

Access

Get Citation

DUAN Yi-Wu, WU Wei-Ping, BAO Cheng-Guang and AN Wei-Ke. The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems[J]. Chinese Physics C, 1991, 15(1): 42-45.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3300)
PDF Downloads(538)
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 Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems

Corresponding author: DUAN Yi-Wu,

Department of Physics,Xiangtan Normal college,Hunan 4111001 Department of Physics,Zhongshan University,Guangzhou 5102752 Department of Physics,Loudi Teachers College Hunan 417000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-01-05

Abstract: In this paper,the harmonic oscillator approach to the bound states of few-body ststems is developed and the lower-energy states are introduced as basis vectors and mixed with a part of harmonic oscillator vectors to calculate the binding energy.The lower energy levels of 3-α system and ⁹Be are presented and compared with experiments or other calculations.The results are satisfactory.