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

THE REGGE TRAJECTORY OF MESONS AND THESU(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_i ²- m _i ²- U(x ²)=0.(i=1,2), where U(x ²) 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 Jand M ², the Regge trajectory ob-tained is a relation between p_nl ²and M ², where ζ_nlπare zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.

References

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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 THESU(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 constraintsp_i²-m_i²-U(x²)=0.(i=1,2), whereU(x²) is an infinite spherical square well poten-tial, is applied to theSU(4) quark model of mesons. A set of linear mass relations areobtained. Instead of the linear relation betweenJandM², the Regge trajectory ob-tained is a relation betweenp_nl²andM², whereζ_nlπare zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.