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General Classical Solutions of Nonlinear $σ$-Model and Pion Charge Distribution of Disoriented Chiral Condensate

Zheng Huang·Mahiko Suzuki
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Abstract

We obtain the general analytic solutions of the nonlinear $σ$-model in $3+1$ dimensions as the candidates for the disoriented chiral condensate (DCC). The nonuniformly isospin-orientated solutions are shown to be related to the uniformly oriented ones through the chiral (axial) rotations. We discuss the pion charge distribution arising from these solutions. The distribution $dP/df=1/(2\sqrt{f})$ holds for the uniform solutions in general and the nonuniform solutions in the $1+1$ boost invariant case. For the nonuniform solution in $1+1$ without a boost-invariance and in higher dimensions, the distribution does not hold in the integrated form. However, it is applicable to the pions selected from a small segment in the momentum phase space. We suggest that the nonuniform DCC's may correspond to the mini-Centauro events.

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Zheng Huang, Mahiko Suzuki. 1995-08-24. General Classical Solutions of Nonlinear $σ$-Model and Pion Charge Distribution of Disoriented Chiral Condensate. https://doi.org/10.1103/physrevd.53.891

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