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

YU SHOU-MIEN

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2024年10月30日

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

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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

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[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.
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[6]	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.
[7]	LIU Xi-Ming , ZHANG Xue-Rao , WANG Hai-Long . Universal Mass Dependence of Final Hadron Yields in High Energy Reactions. Chinese Physics C, 2001, 25(5): 377-382.
[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.
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[11]	YU Zu-Rong . TRANSFORMATION COEFFICIENTS BETWEEN SO(6) AND SU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.
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[14]	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.
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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

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

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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.