Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-04-23
Int.J.Mod.Phys. A7 (1992) 8001-8020
Physics
High Energy Physics
High Energy Physics - Theory
22 pages + 4 figures (figures not included, postscript files available upon request)
Scientific paper
We show that baryons of three dimensional Quantum Chromodynamics can be understood as solitons of its effective lagrangian. In the parity preserving phase we study, these baryons are fermions for odd $N_c$ and bosons for even $N_c$, never anyons. We quantize the collective variables of the solitons and there by calculate the flavor quantum numbers, magnetic moments and mass splittings of the baryon. The flavor quantum numbers are in agreement with naive quark model for the low lying states. The magnetic moments and mass splittings are smaller in the soliton model by a factor of $\log {F_\pi\over N_c m_\pi}$. We also show that there is a dibaryon solution that is an analogue of the deuteron. These solitons can describe defects in a quantum anti--ferromagnet.
Ferretti Gabriele
Rajeev Sarada. G.
Yang Zeping
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