Multi-Skyrmion With and Mesons

Abstract
Axially symmetric multi-skyrmions for a π-ρ-ω system are sudied by use of the spherical coordinates and the cylindrical coordinates i.e., the "twisted skyrmion" and the "periodic skyrmion". In both cases we confirm the presence of "phase transition" between the conventional parityconserving solutions and the spontaneously partity-violating ones. We find that for the usual physical value of gauge coupling constant the twisted skyrmion system is in the parity conserving phase, while the periodic multi-skyrmion system is in the parity-violating phase.

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