Non-Abelian Chern-Simons Particles and their Quantization

A many--body Schr\"odinger equation for non--Abelian Chern--Simons particles is obtained from both point--particle and field--theoretic pictures. We present a particle Lagrangian and a field theoretic Lagrange density, and discuss their properties. Both are quantized by the symplectic method of Hamiltonian reduction. An $N$--body Schr\"odinger equation for the particles is obtained from both starting points. It is shown that the resulting interaction between particles can be replaced by non--trivial boundary conditions. Also, the equation is compared with the one given in the literature.Comment: 18 pages, MIT preprint CTP # 227

The Observed Correlations for the Strange Multibaryon States in Systems with Λ\Lambda-Hyperon from pa Collision at Momentum of 10 Gev/cc

he observed well-known resonances $\Sigma^0$ $\Sigma^{*+}$(1385) and $K^{*\pm}$(892) from PDG are good tests of this method. Exotic strange multibaryon states have been observed in the effective mass spectra of: $\Lambda \pi^{\pm}$,$\Lambda \gamma$, $\Lambda p$, $\Lambda p p$ subsystems. The mean value of mass for $\Sigma^{*-}(1385)$ resonance is shifted till mass of 1370 MeV/$c^2$ and width is two times larger than the same value from PDG. Such kind of behavior for width and invariant mass of $\Sigma^{*-}(1385)$ resonance is interpreted as extensive contribution from stopped $\Xi^-\to\Lambda\pi^-$ and medium effect with invariant mass. The mean value of mass for $\Sigma^{*+}(1385)$ from secondary interactions is also shifted till mass of 1370 MeV/$c^2$. The width of $\Sigma^0$ is $\approx$ 2 times larger than the experimental error. There are enhancement production for all observed hyperons.Comment: 4 pages, 6 figures, XXIst Rencontres de Blois "Windows on the Universe " Blois, France June 21st - June 26th, 200