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

Aug, 1995
18 pages
Published in:
  • Phys.Rev.D 53 (1996) 891-898
e-Print:
Report number:
  • LBL-37524,
  • UCB-PTH-95-26

Citations per year

19961999200220052008012345
Abstract:
We obtain the general analytic solutions of the nonlinear σ\sigma-model in 3+13+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/(2f)dP/df=1/(2\sqrt{f}) holds for the uniform solutions in general and the nonuniform solutions in the 1+11+1 boost invariant case. For the nonuniform solution in 1+11+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.
Note:
  • 18 pages in LaTeX, one uuencoded ps figure Report-no: LBL-37524, UCB-PTH-95/26
  • sigma model: nonlinear
  • sigma model: solution
  • pi: form factor
  • pi: condensation
  • symmetry: chiral
  • isospin
  • centauro