TY - JOUR

T1 - Radial spectrum of light mesons in planar QCD sum rules and the scalar sigma-meson

AU - Afonin, S. S.

AU - Solomko, T. D.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - In the framework of spectral sum rules in the planar limit of quantum chromodynamics, we propose two new methods for calculating the spectra of light mesons based on using linear radial Regge trajectories and the simplest quark-antiquark operators interpolating meson states. Both methods predict a resonance near 500 MeV in the scalar-isoscalar channel, which hypothetically corresponds to the lightest scalar hadron. the σ-meson. This can mean that the quark-antiquark component is strongly dominating in its structure even if the σ-meson is a tetraquark state. In one of the methods, we obtain a reasonable agreement with experimental data using only two input parameters: the phenomenological value of the gluon condensate and the weak decay constant of the pion. In this case, the predicted quark condensate value agrees well with contemporary lattice computation results.

AB - In the framework of spectral sum rules in the planar limit of quantum chromodynamics, we propose two new methods for calculating the spectra of light mesons based on using linear radial Regge trajectories and the simplest quark-antiquark operators interpolating meson states. Both methods predict a resonance near 500 MeV in the scalar-isoscalar channel, which hypothetically corresponds to the lightest scalar hadron. the σ-meson. This can mean that the quark-antiquark component is strongly dominating in its structure even if the σ-meson is a tetraquark state. In one of the methods, we obtain a reasonable agreement with experimental data using only two input parameters: the phenomenological value of the gluon condensate and the weak decay constant of the pion. In this case, the predicted quark condensate value agrees well with contemporary lattice computation results.

KW - meson spectroscopy

KW - planar limit

KW - quantum chromodynamics

KW - spectral sum rules

UR - http://www.scopus.com/inward/record.url?scp=85071923726&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/radial-spectrum-light-mesons-planar-qcd-sum-rules-scalar-sigmameson

U2 - 10.1134/S0040577919080014

DO - 10.1134/S0040577919080014

M3 - Article

VL - 200

SP - 1075

EP - 1093

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 2

ER -