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Why the high lying glueball does not mix with the neighbouring $f_0$

L. Ya. Glozman
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Abstract

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.

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L. Ya. Glozman. 2004-02-13. Why the high lying glueball does not mix with the neighbouring $f_0$. https://doi.org/10.1140/epja%2Fi2003-10136-9

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