From well-known tensor mesons to yet unknown axial-tensor mesons

Abstract

While the ground-state tensor ($J^{PC}=2^{++}$) mesons $a_2(1320)$, $K_2^{\ast }(1430)$, $f_2(1270)$, and $f_2^{\prime }(1525)$ are well known experimentally and form an almost ideal nonet of quark-antiquark states, their chiral partners, the ground-states axial-tensor ($J^{PC}=2^{--}$) mesons are poorly settled: only the kaonic member $K_2(1820)$ of the nonet has been experimentally found, whereas the isovector state ${\rho }_2$ and two isoscalar states ${\omega }_2$ and ${\varphi }_2$ are still missing. Here, we study masses, strong, and radiative decays of tensor and axial-tensor mesons within a chiral model that links them: the established tensor mesons are used to test the model and to determine its parameters, and subsequently various predictions for their chiral partners, the axial-tensor mesons, are obtained. The results are compared to current lattice QCD outcomes as well as to other theoretical approaches and show that the ground-state axial-tensor mesons are expected to be quite broad, the vector-pseudoscalar mode being the most prominent decay mode followed by the tensor-pseudoscalar one. Nonetheless, their experimental finding seems to be possible in ongoing and/or future experiments.

arXiv comment28 pages, v2: small modifications of the main text; corrected typos; added references

References in corpus (45)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Is $f_0(1500)$ a Scalar Glueball?
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• Rho-omega mixing, vector meson dominance and the pion form-factor
• EVIDENCE FOR A SCALAR GLUEBALL
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Is f0(1710) a glueball?
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Towards resolution of the enigmas of P-wave meson spectroscopy
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Decays of tensor mesons and the tensor glueball in an effective field approach
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• An Effective Lagrangian with Broken Scale and Chiral Symmetry II: Pion Phenomenology
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Phenomenology of axial-vector and pseudovector mesons: decays and mixing in the kaonic sector
• First Results from The GlueX Experiment
• Study of the $f_2(1270)$, $f_2^{\prime }(1525)$, $f_0(1370)$ and $f_0(1710)$ in the $J/\psi$ radiative decays
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• How the axial anomaly controls flavor mixing among mesons
• Strong and radiative decays of excited vector mesons and predictions for a new $\varphi (1930)$ resonance
• Scalar mesons and the fragmented glueball
• Singlet-octet-glueball mixing of scalar mesons
• Glueballs as the Ithaca of meson spectroscopy
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• A simple alternative to the Breit-Wigner distribution
• Newly observed $a_0(1817)$ as the scaling point of constructing the scalar meson spectroscopy
• Classical and quantum theory of the massive spin-two field
• Phenomenology of pseudotensor mesons and the pseudotensor glueball
• Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD
• Exclusive tensor meson photoproduction
• Decays of the vector glueball
• Study of Unflavored Light Mesons with $J^{PC}=2^{--}$
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Search for the tensor glueball
• Global analysis of charge exchange meson production at high energies
• Tensor meson photoproduction as a final state interaction effect
• Photoproduction of the $f_2(1270)$ meson using the CLAS detector
• Revisiting the tensor $J^{PC}=2^{--}$ meson spectrum
• Axial-tensor Meson Family at $T\ne 0$
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons

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