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

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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

[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.

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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.