Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings

Abstract

We estimate the I=0 scalar meson sigma/f_0(600) parameters from pi-pi and gamma-gamma scattering data below 700 MeV using an improved analytic K-matrix model. A fit of the hadronic data gives a complex pole mass M_sigma= 422-i290 MeV, while simultaneous best fits of the gamma-gamma to pi+pi-, pi0pi0 data give a direct width of (0.13+-0.05)keV, a rescattering component of (2.7+-0.4)keV and a total (direct+rescattering) width of (3.9+-0.6)keV. "Running" these results to the physical real axis, the small "direct" gamma-gamma and the large hadronic widths at the "on-shell" mass are compatible with QCD spectral sum rules (QSSR) and some low-energy theorems (LET) expectations for an unmixed lowest mass glueball/gluonium sigma_B of a mass around 1 GeV and a large OZI-violation decay into pi-pi.

Version to appear in Phys. Lett. B (some misprints corrected), 8 pages, 2 figures

References in corpus (16)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• A low-lying scalar meson nonet in a unitarized meson model
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• A lattice study of the masses of singlet 0++ mesons
• Chromomagnetism, flavour symmetry breaking and S-wave tetraquarks
• Amplitude Analysis of High Statistics Results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$ and the Two Photon Width of Isoscalar States
• Improved dispersion relations for γγ\to π^0π^0
• Lightest scalar and tensor resonances in $\gamma \gamma \to \pi \pi$ after the Belle experiment
• Do the QCD sum rules support four-quark states?
• Location, correlation, radiation: where is the $\sigma$, what is its structure and what is its coupling to photons?
• Pole Mass, Width, and Propagators of Unstable Fermions
• X(1812) in Quarkonia-Glueball-Hybrid Mixing Scheme
• Scalar mesons: in search of the lightest glueball
• Can the gamma-gamma processes reveal the nature of the sigma ?
• Lightest scalars as chiral partners of the Nambu--Goldstone bosons

Cited by in corpus (24)

• The Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Is f0(1710) a glueball?
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• $X_{0,1}$(2900) and $(D^{-}{K}^{+})$ invariant mass from QCD Laplace sum rules at NLO
• Z_c -like spectra from QCD Laplace sum rules at NLO
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• sigma and f_0(980) substructures from gamma-gamma to pi-pi, J/psi, phi radiative and D_s semi-leptonic decays
• A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ Processes
• The sigma -> gamma gamma Width from Nucleon Electromagnetic Polarizabilities
• Light scalar mesons in QCD
• Di-Gluonium Sum Rules, I = 0 Scalar Mesons and Conformal Anomaly
• Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
• Two-current transition amplitudes with two-body final states
• Revisiting $O(N)$ $\sigma$ model at unphysical pion masses and high temperatures
• The sigma and f_0(980) from K_e4+pi-pi, gamma-gamma scatterings, J/psi, phi to gamma sigma_B and D_s to l nu sigma_B
• Reply to comment on "Two-photon decay of the sigma meson"
• Can one measure C-odd asymmetry in e+e- --> pi+pi-
• Low-mass scalar production in $\gamma \gamma$ scattering
• Searching for the Scalar Glueball