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

References in corpus (4)

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• On the two-photon decay width of the sigma meson
• Radiative $\varphi$ decays with derivative interactions
• Meson and tetra-quark mixing
• Scalar Meson Photoproduction
• 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
• Light scalars as tetraquarks: decays and mixing with quarkonia