Soliton Solutions of the $σ$ Model and the Disoriented Chiral Condensates

Details Soliton Solutions of the $σ$ Model and the Disoriented Chiral Condensates Soliton Solutions of the $σ$ Model and the Disoriented Chiral Condensates

1998-01-23

arxiv.org/abs/hep-ph/9801401v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, LaTex, invited talk presented at workshop SOLITONS: properties, dynamics, interactions and applications, held at King

Scientific paper

We derive travelling soliton solutions of the $\sigma$ model, relevant for the description of dynamics of pions, in the high-energy, heavy-ion collisions. These extended objects are analogs of Ne$\grave{e}$l and Bloch type defects in ferromagnetic systems and could possibly describe the disoriented chiral condensates. It is shown that these solutions are metastable and can naturally produce an asymmetry between $\pi^0 $ and $ \pi^+$, $\pi^- $ mesons in the soft-pion emissions from heavy-ion collisons.

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