Propagators of light scalar mesons

May, 2004
8 pages
Published in:
  • Phys.Rev.D 70 (2004) 111901
e-Print:

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Abstract:
For the first time, as far as we know, in field theory are found explicit forms of propagators satisfying the Kallen -- Lehmann representation. To be exact, it is shown that scalar meson propagators, taking into account a virtual intermediate state contribution to the resonance self-energy, satisfy the Kallen -- Lehmann representation in the wide domain of coupling constants of the light scalar mesons with the two-particle states. It is proposed to use these propagators in routine fitting data about light scalar mesons to reveal physics underlying the light scalar mesons.
  • 12.39.Fe
  • 11.55.Fv
  • 11.10.St
  • scalar meson: propagator
  • spectral representation
  • f0(980): hadronic decay
  • a0(980): hadronic decay
  • scalar meson: width
  • sigma model: linear
  • f0(980) --> 2pi