Investigation of a 0 – f 0 mixing

By C. Hanhart, B. Kubis, J. R. Peláez. 2007

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We investigate the isospin-violating mixing of the light scalar mesons ${a}_{0}(980)$ and ${f}_{0}(980)$ within the unitarized chiral approach. Isospin-violating effects are considered to leading order in the quark mass differences and electromagnetism. In this approach both mesons are generated through meson-meson dynamics. Our results provide a description of the mixing phenomenon within a framework consistent with chiral symmetry and unitarity, where these resonances are not predominantly $q\overline{q}$ states. Amongst the possible experimental signals, we discuss observable consequences for the reaction $J/\ensuremath{\Psi}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\pi}}^{0}\ensuremath{\eta}$ in detail. In particular, we demonstrate that the effect of ${a}_{0}$\char21{}${f}_{0}$ mixing is by far the most important isospin-breaking effect in the resonance region and can indeed be extracted from experiment.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/844e9e1cdf199497999e4a29e06df07cd165ce71

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In Nuclear and High Energy Physics

  1. Ronald F. Piccolo
  2. J. Colquitt

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