Why the high-lying glueball does not mix with the neighbouring f 0
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Chiral symmetry restoration in high-lying hadron spectra implies that hadrons which belong to different irreducible representations of the parity-chiral group cannot mix. This explains why the \(f_0(2102 \pm 13)\), which was suggested to be a glueball, and hence must belong to the scalar (0,0) representation of the chiral group, cannot mix with the neighbouring \(f_0(2040 \pm 38)\), which was interpreted as a \( n\bar n\) state, and that belongs to the (1/2,1/2) representation of the chiral group. If confirmed, then we have an access to a “true” glueball of QCD.
KeywordsIrreducible Representation Chiral Symmetry Hadron Spectrum Chiral Symmetry Restoration Chiral Group
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