On the spectral functions of scalar mesons

Abstract

In this work we study the spectral functions of scalar mesons in one- and two-channel cases. When the propagators satisfy the Källen-Lehman representation a normalized spectral function is obtained, allowing to take into account finite-width effects in the evaluation of decay rates. In the one-channel case, suitable to the light sigma and k mesons, the spectral function can deviate consistently from a Breit-Wigner shape. In the two-channel case with one subthreshold channel the evaluated spectral function is well approximated by a Flatte' distribution; when applying the study to the a_0(980) and f_0(980) mesons the tree-level forbidden KK decay is analysed.

13 pages, 7 figures

References in corpus (44)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• ππscattering
• Meson-Meson interaction in a non-perturbative chiral approach
• Exotica
• Mass and width of the lowest resonance in QCD
• Evidence that the a0(980) and f0(980) are not elementary particles
• A new look at scalar mesons
• Scalar mesons above and below 1 GeV
• Is $f_0(1500)$ a Scalar Glueball?
• A low-lying scalar meson nonet in a unitarized meson model
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• On the nature of light scalar mesons from their large $N_c$ behavior
• EVIDENCE FOR A SCALAR GLUEBALL
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Toy model for two chiral nonets
• Scalar Glueball-qqbar Mixing above 1 GeV and implications for Lattice QCD
• Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• Dynamical Generation of Scalar Mesons
• Scalar meson and glueball decays within a effective chiral approach
• A chiral model for bar{q}q and bar{q}bar{q}qq$ mesons
• Flatte-like distributions and the a_0(980)/f_0(980) mesons
• Strong and electromagnetic decays of the light scalar mesons interpreted as tetraquark states
• A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
• Isosinglet Scalar Mesons Below 2 GeV and the Scalar Glueball Mass
• Investigation of a0-f0 mixing
• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
• Glueball-quarkonia content and decay of scalar-isoscalar mesons
• Propagators of light scalar mesons
• Remarks on the f_0(400-1200) scalar meson as the dynamically generated chiral partner of the pion
• Ground-State Scalar $\bar{q}q$ Nonet: SU(3) Mass Splittings and Strong, Electromagnetic, and Weak Decay Rates
• On the mass, width and coupling constants of the f0(980)
• Reconclining phi radiative decays with other data for a0(980), fo(980), pi-pi -> KK and pi-pi -> eta-eta
• Decays of sigma, kappa, a0(980) and fo(980)
• The glueball among the light scalar mesons
• Possible Classification of the Chiral Scalar sigma-Nonet
• Search for $a_0(980)$ and $f_0(980)$ mesons in $\varphi \to \gamma K\bar{K}$
• Remark on the effective range approach to the f_0-a_0 mesons

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