Relativistic oscillator model with spin for nucleon resonances

被引：2
|
作者：
Kulikov, Dmitry A. [1 ]
Uvarov, Ivan V. [1 ]
Yaroshenko, Arkadiy P. [1 ]
机构：
[1] Dnepropetrovsk Natl Univ, UA-49010 Dnepropetrovsk, Ukraine
来源：
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2013年 / 11卷 / 08期
关键词：
three-body problem; relativistic oscillator; nucleon resonances; QUARK-MODEL; BARYONS; STATES;
D O I：
10.2478/s11534-013-0303-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：1006 / 1015
页数：10
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