S-wave Heavy Quarkonium Spectra: Mass, Decays and Transitions

TL;DR

This paper analyzes S-wave heavy quarkonium spectra using two phenomenological potential models, calculating various properties and decay widths, and finds good agreement with experimental data despite the potentials not being directly QCD-based.

Contribution

It compares power and logarithmic potential models for heavy quarkonium spectra, providing detailed calculations of masses, decay constants, and transition widths, with results aligning well with experiments.

Findings

Calculated spectra and decay properties agree with experimental data.

Both potential models effectively describe S-wave heavy quarkonium states.

Results support phenomenological potentials as useful tools despite lacking direct QCD motivation.

Abstract

In this paper we revisited phenomenological potentials. We studied S-wave heavy quarkonium spectra by two potential models. The first one is power potential and the second one is logarithmic potential. We calculated spin averaged masses, hyperfine splittings, decay constants, leptonic decay widhts, two-photon and two-gluon decay widths and some allowed M1 transitions. We studied ground and 4 radially excited S-wave charmonium and bottomonium states via solving nonrelativistic Schr\"odinger equation. Although the potentials were studied in this paper is not directly QCD motivated potential, obtained results are agree well with experimental data and other theoretical studies.