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Scalar-isoscalar states in the large-N{sub c} Regge approach

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)
  2. H. Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, PL-31342 Krakow (Poland)
Scalar-isoscalar states (J{sup PC}=0{sup ++}) are investigated within the large-N{sub c} Regge approach. We elaborate on the consequences of including the lightest f{sub 0}(600) scalar-isoscalar state into such an analysis, where the position of f{sub 0}(600) fits very well into the pattern of the radial Regge trajectory. Furthermore, we point out that the pion and nucleon spin-0 gravitational form factors, recently measured on the lattice, provide valuable information on the low-mass spectrum of the scalar-isoscalar states on the basis of the scalar-meson dominance in the spin-0 channel. Through the fits to these data we find m{sub {sigma}=}450-600 MeV. We compare the predictions of various fits and methods. An analysis of the QCD condensates in the two-point correlators provides further constraints on the parameters of the scalar-isoscalar sector. We find that a simple two-state model suggests a meson nature of f{sub 0}(600), and a glueball nature of f{sub 0}(980), which naturally explains the ratios of various coupling constants. Finally, we note that the fine-tuned condition of the vanishing dimension-two condensate in the Regge approach with infinitely many scalar-isoscalar states yields a reasonable value for the mass of the lightest glueball state.
OSTI ID:
21409843
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English