BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND <EM>SU</EM>(4)MASS RELATIONS FOR MESONS

GAO CHONG-SHOU

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(2) : 152-164

BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS

GAO CHONG-SHOU

Peking University

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,the theory of mesonic Bethe-Salpeter equation with instantaneousinteraction is generalized to the case where the mass of the straton is not equal tothat of the antistraton.Assuming that the stratons are heavy and the interaction isdominantly a pseudoscalar potential and a static vector potential,we derive the SU(4)mass splitting for mesons.The difficulties encountered by the first order SU(4)massrelations after the discovery of charmed particles are analyzed.It is pointed out thatthese difficulties disappear in our mass relations.In particular,the mass formulaobtained with the potential of harmonic oscillator may explain not only the masses ofboth ground states and radial excited states,but also the effective masses of stratons,while the latter is compatible with the mass values for explaining the magnetic momentsof baryons.Finally,we discuss the newly discovered heavy particle Υ using our mass relations.

References

[1]	北京大学物理系基本粒子理论组，物理学报，25 (1976), 316.[2] 北京大学物理系基本粒子理论组，物理学报，25(1976), 415.[3] 胡宁，物理学报，25(1976), 494.[4] 朱重远、安瑛，高能物理与核物理，1(1977), 47.[5] S.W. Herb et al., Phys. Rev. Letters, 39 (1977), 252.

[1]	Jian Liang , Wei Sun , Ying Chen , Wei-Feng Qiu , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Jian-Bo Zhang . Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD. Chinese Physics C, 2016, 40(4): 041001. doi: 10.1088/1674-1137/40/4/041001
[2]	Richard Williams , Christian S . Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation. Chinese Physics C, 2010, 34(9): 1500-1503. doi: 10.1088/1674-1137/34/9/084
[3]	LIU Xi-Ming , ZHANG Xue-Yao , WANG Hai-Long , WANG Yu-Shui . Mass Dependence of the Particle Multiplicity in Υ Three Gluon Fragmentation. Chinese Physics C, 2002, 26(2): 129-133.
[4]	WANG Hai-Long , LIU Xi-Ming , WANG Yu-Shui . Mass Dependence of Hadron Production Rates in e⁺e^－ Annihilations at High Energy. Chinese Physics C, 2002, 26(5): 471-476.
[5]	Zhou Quanhua , Gao Chengqun , Yang Baosheng . A Semi-Microscopic Optical Potential Between 4N Nuclei with Same Masses. Chinese Physics C, 1994, 18(5): 460-465.
[6]	Bian Jianguo , Wang Jiahui . The Pseudo-scalar Solution of Bethe-Salpeter Equation in the Approximation of One Gluon Exchange. Chinese Physics C, 1994, 18(7): 591-600.
[7]	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.
[8]	LIU Jin-Ming , ZHENG Bo , GUO Shuo-Hong . QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅱ) BARYON MASS CALCULATION. Chinese Physics C, 1986, 10(1): 116-119.
[9]	DONG Fang-Xiao , DU Dong-Sheng , XUE Pei-You . COMMENT ON LIGHT-FERMION MASS HIERARCHY PROBLEM IN SU(9) GRAND UNIFIED MODELS. Chinese Physics C, 1983, 7(1): 20-27.
[10]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[11]	YU SHOU-MIEN . THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS. Chinese Physics C, 1982, 6(1): 36-43.
[12]	KUANG YU-PING , . SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES. Chinese Physics C, 1981, 5(1): 72-81.
[13]	Xu DE-ZHI . STRATON MASSES AND CABIBBO ANGLES. Chinese Physics C, 1981, 5(4): 405-411.
[14]	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.
[15]	Li Bing-an , Xian Ding-chang , Yan Su , Chen Tian-lun , Yang Qing-zhu , Lu Jing-fa . THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION. Chinese Physics C, 1980, 4(1): 33-42.
[16]	LI BING-AN . WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS. Chinese Physics C, 1979, 3(2): 141-151.
[17]	ZHU WEI , ZHANG MIN-SHENG , LU JI-ZONG , FENG CHENG-TIAN , CHU JUN-HAO . A φ⁴-TYPE BAG MODEL OF HADRONS——THE “RUBBER BAG”MODEL Ⅱ.THE MASS SPECTRA OF HADRONS. Chinese Physics C, 1979, 3(3): 266-271.
[18]	GAO CHUNG-SHOU . SU（4）×S₃^{^α} SCHEME OF STRATON MODEL AND THE NEWLY DISCOVERED HEAVY PARTICLE γ（9.5）. Chinese Physics C, 1978, 2(5): 394-402.
[19]	WANG KE-LIN , HSIEN TING-CHANG , CHENG HSI-THE . ON THE SU(4) MONOPOLE AND DYON SOLUTIONS. Chinese Physics C, 1978, 2(5): 403-410.
[20]	ELEMENTARY PARTICLE THEORY GROUP , DEPARTMENT OF PHYSICS , PEKING UNIVERSITY . AN SU（4）×S₃^a SCHEME OF THE STRATON MODEL. Chinese Physics C, 1978, 2(1): 1-9.

Access

Get Citation

GAO CHONG-SHOU. BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS[J]. Chinese Physics C, 1979, 3(2): 152-164.

GAO CHONG-SHOU. BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS[J]. Chinese Physics C, 1979, 3(2): 152-164. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-01-13
Revised: 1900-01-01

Article Metric

Article Views(1769)
PDF Downloads(256)
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

BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS

GAO CHONG-SHOU

Peking University

Received Date: 1978-01-13
Accepted Date: 1900-01-01
Available Online: 1979-04-05

Abstract: In this paper,the theory of mesonic Bethe-Salpeter equation with instantaneousinteraction is generalized to the case where the mass of the straton is not equal tothat of the antistraton.Assuming that the stratons are heavy and the interaction isdominantly a pseudoscalar potential and a static vector potential,we derive the SU(4)mass splitting for mesons.The difficulties encountered by the first order SU(4)massrelations after the discovery of charmed particles are analyzed.It is pointed out thatthese difficulties disappear in our mass relations.In particular,the mass formulaobtained with the potential of harmonic oscillator may explain not only the masses ofboth ground states and radial excited states,but also the effective masses of stratons,while the latter is compatible with the mass values for explaining the magnetic momentsof baryons.Finally,we discuss the newly discovered heavy particle Υ using our mass relations.