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General classical solutions of the nonlinear {sigma} model and the pion charge distribution of disoriented chiral condensate

Journal Article · · Physical Review, D
 [1];  [2]
  1. Department of Physics, University of Arizona, Tucson, Arizona 85741 (United States)
  2. Department of Physics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)

We obtain the general solutions of the nonlinear {sigma} model in 3+1 dimensions as the candidates for the disoriented chiral condensate (DCC). The nonuniformly isospin-oriented 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 {ital dP}/{ital d}{ital f}=1/(2 {radical}{ital 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 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{close_quote}s may correspond to the mini-Centauro events. {copyright} {ital 1996 The American Physical Society.}

Research Organization:
Lawrence Berkeley National Laboratory
DOE Contract Number:
AC03-76SF00098
OSTI ID:
277478
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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