Spectroscopy, leptonic decays and the nature of heavy quarkonia
Juan-Luis Domenech-Garret, Miguel-Angel Sanchis-Lozano
TL;DR
This paper analyzes the electronic width ratios of Upsilon resonances using an effective QCD potential, revealing different coupling regimes for various states and supporting previous findings from radiative decay studies.
Contribution
It introduces a Cornell-type potential with 1/m_b corrections to study Upsilon states, distinguishing their coupling regimes based on electronic width ratios.
Findings
Upsilon(2S) and Upsilon(3S) are in the strong-coupling regime
Upsilon(1S) is in the weak-coupling regime
Results agree with previous radiative decay analyses
Abstract
We examine the electronic width ratios of Upsilon resonances below the BBbar threshold by means of an effective (Cornell-type) QCD potential incorporating 1/m_b corrections obtained from a prior fit to the bottomonium spectrum. From our analysis we conclude that the Upsilon(2S) and Upsilon(3S) states should belong to the strong-coupling (nonperturbative) regime while the Upsilon(1S) state should belong to the weak-coupling (perturbative) regime, in agreement with a previous study based on radiative decays.
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