Large-$N_c$ masses of light mesons from QCD sum rules for non-linear radial Regge trajectories

TL;DR

This paper calculates the masses of light mesons in the large-$N_c$ limit using QCD sum rules with a novel ansatz for radial Regge trajectories, including exponential corrections, and compares results with experimental data.

Contribution

It introduces a new ansatz with exponential corrections for radial Regge trajectories in QCD sum rules to predict meson masses.

Findings

Two solutions for meson masses are found.

Predictions are consistent with experimental data.

The ansatz improves understanding of meson mass spectra.

Abstract

The large-$N_c$ masses of light vector, axial, scalar and pseudoscalar mesons are calculated from QCD spectral sum rules for a particular ansatz interpolating the radial Regge trajectories. The ansatz includes a linear part plus exponentially degreasing corrections to the meson masses and residues. The form of corrections was proposed some time ago from consistency with analytical structure of Operator Product Expansion of the two-point correlation functions. Two solutions are found and compared with the experimental data.