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An Extended Relativistic Particle Model with Arbitrary Spin and Isospin
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 289-302 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a finite-dimensional Poincaré-invariant dynamical system with an additional $SU(2)$ symmetry that can be interpreted as a finite extended object evolving in Minkowski space. We show that for any value of the spin $s$, the mass spectrum $\{M\}$ of the system is determined by roots of the equation $Az_-^2+Bz_-+C+Dz_+=0$ where $z_{\pm}=a{M}^2\pm b\sqrt{s(s+1)}$ and the coefficients depend only on the state of “internal” variables. We discuss the possibility of describing certain meson and baryon states in terms of the model constructed.
Keywords: particle models, Regge trajectories, relativistic equations. 
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     title = {An {Extended} {Relativistic} {Particle} {Model} with {Arbitrary} {Spin} and {Isospin}},
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S. V. Talalov. An Extended Relativistic Particle Model with Arbitrary Spin and Isospin. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 289-302. http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a8/

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