THE REGGE TRAJECTORY OF MESONS AND THE <EM>SU</EM>(4) MASS RELATIONS

YU SHOU-MIEN

Chinese Physics C> 1982, Vol. 6> Issue(1) : 36-43

THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS

YU SHOU-MIEN

Shandong University

Abstract
HTML
Reference
Related

PDF

Abstract：
A relativistic equation of motion of a two particle system under the constraints p_i²-m_i²-U(x²)=0.(i=1,2), where U(x²) is an infinite spherical square well poten-tial, is applied to the SU(4) quark model of mesons. A set of linear mass relations areobtained. Instead of the linear relation between J and M², the Regge trajectory ob-tained is a relation between p_nl² and M², where ζ_nlπ are zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.

References

[1]	T. Takabayasi, Prog. Theor. Phys., 54 (1975). 563.[2] M. Fujigaki and S. Kojima. Prog. Theor. Phys., 59 (1978), 1930, S. Kojima, Prog. Theor. Phys,61(1979), 960.[3] Ngee-Pong Chang and C. A. Nelson. Phys. Rev., D19 (1979), 3336.

[1]	JIANG Jun-Qin . Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
[2]	LU Xiao , LIU Guang-Dong , SHEN Peng-Nian . Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2006, 30(11): 1074-1077.
[3]	LU Xiao , Bai Ying , YANG Yong-Xu , SHEN Peng-Nian . Study About the Binding Energy of Light Hypernuclei 5ΛHe,4ΛHe and 4ΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2005, 29(7): 668-672.
[4]	LIU Xi-Ming , WANG Hai-Long , ZHANG Xue-Yao , WANG Yu-Shui . Universal Mass Dependence of Directly Produced Hadron Rates. Chinese Physics C, 2002, 26(4): 313-318.
[5]	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.
[6]	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.
[7]	Li Zuohong , Hou Yunzhi . Semileptonic B-Meson Decays in SU(3). Chinese Physics C, 1994, 18(8): 715-723.
[8]	LI Guang-Hua , SUN Hong-Zhou , HAN Qi-Zhi , LI Xian-Yin . The Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1991, 15(8): 742-747.
[9]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[10]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[11]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[12]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[13]	YU Zu-Rong . TRANSFORMATION COEFFICIENTS BETWEEN SO(6) AND SU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.
[14]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[15]	MA ZHONG-QI . THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE. Chinese Physics C, 1982, 6(2): 176-184.
[16]	KUANG YU-PING , . SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES. Chinese Physics C, 1981, 5(1): 72-81.
[17]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.
[18]	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.
[19]	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.
[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

YU SHOU-MIEN . THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS[J]. Chinese Physics C, 1982, 6(1): 36-43.

YU SHOU-MIEN . THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS[J]. Chinese Physics C, 1982, 6(1): 36-43. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1980-11-07
Revised: 1900-01-01

Article Metric

Article Views(2053)
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 REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS

YU SHOU-MIEN

Shandong University

Received Date: 1980-11-07
Accepted Date: 1900-01-01
Available Online: 1982-02-05

Abstract: A relativistic equation of motion of a two particle system under the constraints p_i²-m_i²-U(x²)=0.(i=1,2), where U(x²) is an infinite spherical square well poten-tial, is applied to the SU(4) quark model of mesons. A set of linear mass relations areobtained. Instead of the linear relation between J and M², the Regge trajectory ob-tained is a relation between p_nl² and M², where ζ_nlπ are zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.