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  1. 1 2013

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  1. 1 Kulikov D.

  2. 1 Uvarov I.

  3. 1 Yaroshenko A.

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Relativistic oscillator model with spin for nucleon resonances

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Kulikov D., Uvarov I., Yaroshenko A.
Open Physics
|
2013
|
vol. 11
|
issue 8
1006-1015
EN
The relativistic three-body problem is approached via the extension of the SL(2, C) group to the Sp(4, C) one. In terms of Sp(4, C) spinors, a Dirac-like equation with three-body kinematics is composed. After introducing the linear in coordinates interaction, it describes the spin-1/2 oscillator. For this system, the exact energy spectrum is derived and then applied to fit the Regge trajectories of baryon N-resonances in the (E 2, J) plane. The model predicts linear trajectories at high total energy E with some form of nonlinearity at low E.
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