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

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

  •  Shandong University

  • A relativistic equation of motion of a two particle system under the constraints pi2-mi2-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 pnl2 and M2, where ζnlπ are zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.
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    [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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THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS

  • 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 pi2-mi2-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 pnl2 and M2, where ζnlπ are zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.

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