Mixing of scalar tetraquark and quarkonia states in a chiral approach

Abstract

A chiral invariant Lagrangian describing the tetraquark-quarkonia interaction is considered at the leading and subleading order in the large-$N_c$ expansion. Spontaneous chiral symmetry breaking generates mixing of scalar tetraquark and quarkonia states and non-vanishing tetraquark condensates. In particular, the mixing strength is related to the decay strengths of tetraquark states into pseudoscalar mesons. The results show that scalar states below 1 GeV are mainly four-quark states and the scalars between 1 and 2 GeV quark-antiquark states, probably mixed with the scalar glueball in the isoscalar sector.

30 pages, 3 figures, 6 tables, to appear in Phys. Rev. D

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Cited by in corpus (39)

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• Note on a sigma model connection with instanton dynamics
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• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Role of the tetraquark in the chiral phase transition
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Strong and radiative decays of the scalars f0(980) and a0(980) in a hadronic molecule approach
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Four-quark states from functional methods
• eta(1405) in a chiral approach based on mixing of the pseudoscalar glueball with the first radial excitations of eta and eta'
• On the two-photon decay width of the sigma meson
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• The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays
• Radiative $\varphi$ decays with derivative interactions
• Are three flavors special?
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• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• Meson and tetra-quark mixing
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Scalar Meson Photoproduction
• Strong decays of singly heavy baryons from a chiral effective theory of diquarks
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• The scalar-isovector sector in the extended Linear Sigma Model
• Decay widths of resonances and pion scattering lengths in a globally invariant linear sigma model with vector mesons
• Exploration of a physical picture for the QCD scalar channel
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• Scalar Mesons and FAIR
• Universal scale factors relating mesonic fields and quark operators
• Chiral effective theory of scalar and vector diquarks revisited
• $N_C$ evolution of the light meson resonances
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• Strengthening the Bridge Between Chiral Lagrangians and QCD Sum-Rules
• Light scalars as tetraquarks: decays and mixing with quarkonia