Radial spectrum of light mesons in planar QCD sum rules and the~scalar sigma-meson
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 2, pp. 173-194
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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 $\sigma$-meson. This can mean that the quark–antiquark component is strongly dominating in its structure even if the $\sigma$-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.
Keywords:
meson spectroscopy, quantum chromodynamics, spectral sum rules, planar limit.
@article{TMF_2019_200_2_a0,
author = {S. S. Afonin and T. D. Solomko},
title = {Radial spectrum of light mesons in planar {QCD} sum rules and the~scalar sigma-meson},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {173--194},
publisher = {mathdoc},
volume = {200},
number = {2},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a0/}
}
TY - JOUR AU - S. S. Afonin AU - T. D. Solomko TI - Radial spectrum of light mesons in planar QCD sum rules and the~scalar sigma-meson JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2019 SP - 173 EP - 194 VL - 200 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a0/ LA - ru ID - TMF_2019_200_2_a0 ER -
%0 Journal Article %A S. S. Afonin %A T. D. Solomko %T Radial spectrum of light mesons in planar QCD sum rules and the~scalar sigma-meson %J Teoretičeskaâ i matematičeskaâ fizika %D 2019 %P 173-194 %V 200 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a0/ %G ru %F TMF_2019_200_2_a0
S. S. Afonin; T. D. Solomko. Radial spectrum of light mesons in planar QCD sum rules and the~scalar sigma-meson. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 2, pp. 173-194. http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a0/