THE APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2

HE JU; ZHANG ZHAO-XI; HE ZUO-XIU

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> 1979, Vol. 3> Issue(6) : 688-696

THE APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2

Abstract
HTML
Reference
Related

PDF

Abstract：
The Bethe-Salpeter equation for the electromagnetic bound states consisting of a fermion and an anti-fermion of spin1/2 is solved in the Ladder approximation in this paper.The well-known Balmer series is obtained together with the B-S wave functions,which are relativistic covariant,also have correct analytic properties and satisfy the spectra conditions.The results are applied to the processes η⁰→γ+（e⁺e^-）and η⁰→γ+（_μ⁺μ^-）.It is shown that the creation,annihilation and transition processes of such relativistic electromagnetic bound states can be calculated conveniently by using the approximate B-S wave functions obtained in this paper.

References

[1]

N. Nakanishi, Supp. Prog. Theor. Phys.,43(1989), 1.[2] 胡中,物理学报，25 (1976), 494;北京大学物理系基本粒子理论组，物理学报，25 (1976), 816: 415.[3] G. C. Wick, Phys. Rev, 96(1954), 1124.[4] R. E. Cuttkosky, Phys. Rev., 96(1954), 1135[5] 昊坚武等,中国科学，5 (1977), 431. A. H.Guth. Ann. Phys. (N. Y.). 82(1974), 407.[6] 吴泳时、何柞麻，物理学报，26 (1977), 274. 该文引有关于四维谐振子的有关文献.[7] 北京大学物理系基本粒子理论组，中国科学院数学研究所理论物理研究室，北京大学学报(自然科学版)，12(1966), 209.[8] 中国科学院数学研究所理论物理研究室，北京大学物理系基本粒子理论组，原子能.(1966), 507.[9] π. π. Hemennos, K. 15 (1972), 1047.[10] 何祚麻、张肇西、黄涛，物理学报，25 (1976), 215.

[1]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[2]	LI Jie-Ming , JIANG Jun-Qin . Calculation of the Vacuum Wave Function for (2+1) Dimensional Lattice QCD. Chinese Physics C, 2001, 25(7): 617-620.
[3]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[4]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[5]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[6]	Hu Lian , Hui Ping , Chen Qizhou . Fourth Order Approximation of(2+1)-D Su(2)0⁺⁺ Gluball Wavefunction. Chinese Physics C, 1997, 21(11): 995-998.
[7]	Xie Wenfang , Bao Chengguang . Effect of Symmetry on Structure of 3-Fermion Systems With Spin S=1/2. Chinese Physics C, 1996, 20(1): 92-96.
[8]	Hui Ping , Chen Qizhou . Fourth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1995, 19(9): 820-825.
[9]	Chen Qizhou , Li Lei , Li Zhibing , Guo Shuohong . Vacuum Wave Function Study of 2+1 Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(5): 417-423.
[10]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[11]	DONG Yu-Bing , SU Jun-Chen . BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA. Chinese Physics C, 1989, 13(11): 1007-1016.
[12]	LING You-Guang , QIU Zhi-Hong . BOUND STATES OF ETA-²⁴Mg AND ETA-³²S. Chinese Physics C, 1989, 13(11): 1017-1022.
[13]	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.
[14]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[15]	SONG Xiao-Tong , DAI You-Shan . ELECTROMAGNETIC FORM FACTORS OF (0—1/2) ELECTROMAGNETIC BOUND SYSTEM. Chinese Physics C, 1985, 9(3): 371-376.
[16]	SONG Xiao-Tong , CHING Cheng-Rui , HO Tso-Hsiu . APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES. Chinese Physics C, 1984, 8(5): 531-538.
[17]	ZHAO Guang-Da . BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[18]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[19]	Wang Ming-zhong , Zheng Xi-te , Wang Ke-lin , Xian Ding-chang , Zhang Zheng-gang . ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON. Chinese Physics C, 1980, 4(4): 433-439.
[20]	HO TSO-HSIU , CHANG CHAO-SHIE , HUANG TAO . ON THE ASYMPTOTIC BEHAVIOUR OF THE B-S WAVE FUNCTION AS THE RELATIVE TIME APPROACHES INFINITY. Chinese Physics C, 1978, 2(3): 285-288.

Access

Get Citation

HE JU, ZHANG ZHAO-XI and HE ZUO-XIU. THE APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2[J]. Chinese Physics C, 1979, 3(6): 688-696.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-07-18
Revised: 1900-01-01

Article Metric

Article Views(1840)
PDF Downloads(270)
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 APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2

Received Date: 1978-07-18
Accepted Date: 1900-01-01
Available Online: 1979-12-05

Abstract: The Bethe-Salpeter equation for the electromagnetic bound states consisting of a fermion and an anti-fermion of spin1/2 is solved in the Ladder approximation in this paper.The well-known Balmer series is obtained together with the B-S wave functions,which are relativistic covariant,also have correct analytic properties and satisfy the spectra conditions.The results are applied to the processes η⁰→γ+（e⁺e^-）and η⁰→γ+（_μ⁺μ^-）.It is shown that the creation,annihilation and transition processes of such relativistic electromagnetic bound states can be calculated conveniently by using the approximate B-S wave functions obtained in this paper.