We study the possible signals of a pion string associated with the QCD chiral
phase transition in LHC Pb - Pb collision at energy $ \sqrt{s}=5.5$ TeV. In
terms of the Kibble-Zurek mechanism we discuss the production and evolution of
the pion string. The pion string is not topologically stable, it decays into
neutral pions and sigma mesons which in turn decay into pions. Our results show
that all the neutral pions from the pion string are distributed at the low
momentum and the ratio of neutral to charged pions from the pion string
violates the isospin symmetry. For the momentum spectra of the total pions, the
signal from the sigma particle decay which is from the pion string will be
affected by the large decay width of the sigma significantly.Comment: 8 pages, 3 figures, one reference added, title changed, version
accepted for publication in Phys. Rev.
with an error in the author list. The second author's name should read as "Yan-Bing Cai." The author name has been corrected as of 2 June 2017. The author name is incorrect in the printed version of the journal.
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