The Lightest scalar glueball

Dec, 1997
48 pages
Published in:
  • Phys.Usp. 41 (1998) 419-439,
  • Usp.Fiz.Nauk 168 (1998) 481-502
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Abstract:
Recently performed investigations of meson spectra allow us to determine the resonance structure for the waves IJPC=00++IJ^{PC}=00^{++}, 10++10^{++}, 02++02^{++}, 12++12^{++} = IJP=1/20+IJ^P= 1/2 0^+ in the mass region up to 1900 MeV, thus establishing the meson multiplets 13P0qqˉ1^3P_0q\bar q and 23P0qqˉ2^3P_0q\bar q. Experimental data demonstrate that there are five scalar/isoscalar states in this mass region. Four of them are qqˉq\bar q states, that is, members of the 13P0qqˉ1^3P_0q\bar q and 23P0qqˉ2^3P_0q\bar q nonets, while the fifth state is an extra one not accomodated by qqˉq \bar q systematics; it has the properties of the lightest scalar glueball. Analysis of the 00++00^{++}-wave performed within the framework of the dispersion relation technique allows us to reconstruct the mixing of a pure gluonium with neighbouring scalar qqˉq \bar q states belonging to 13P0qqˉ1^3P_0q\bar q and 23P0qqˉ2^3P_0q\bar q nonets: three scalar mesons share the gluonium state between each other -- those are two comparatively narrow resonances f0(1300)f_0(1300) and f0(1500)f_0(1500) and a broad resonance f0(1530250+90)f_0(1530^{+90}_{-250}). The broad state is a descendant of the gluonium, keeping about 40-50% of its component.
Note:
  • To the memory of Yuri Dmitrievich Prokoshkin
  • meson: hadron spectroscopy
  • quantum number
  • meson: multiplet
  • glueball: scalar
  • glueball: mass
  • partial wave: dispersion relation
  • glueball: coupling constant
  • expansion 1/N
  • Feynman graph
  • quark: potential