QQ-onia package: a numerical solution to the Schrodinger radial equation for heavy quarkonium

Abstract

This paper presents the basics of the QQ-onia package, a software based upon the Numerov method which can be used to solve the Schrodinger radial equation using a suitable potential V(r) for the heavy quarkonium system. This package also allows the analysis of relevant properties of those resonances such as the wave functions at the origin, their corresponding derivatives for l \neq 0 states, typical heavy quark velocities, and mean square radii. Besides, it includes a tool to analize the spin-dependent contributions to the heavy quarkonia spectrum, providing the hyperfine splittings, as well as the nPJ energy levels. Finally, a simple software implemented in QQ-onia to compute E1 transition rates is presented.

30 pages, 3 figures, a new section on spin-dependent terms in the potential has been added

References in corpus (11)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Mesons with Beauty and Charm: Spectroscopy
• Quarkonium Wave Functions at the Origin
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• Nonperturbative determination of the QCD potential at O(1/m)
• Inclusive Decays of Heavy Quarkonium to Light Particles
• Heavy quark potential in the static limit of QCD
• Spectroscopy, leptonic decays and the nature of heavy quarkonia
• Relativistic corrections to the static potential at O(1/m) and O(1/m^2)
• Effective Potential Models for Hadrons

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• Prediction of the Omega_bbb mass from lattice QCD
• Calibrating the Naïve Cornell Model with NRQCD
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• Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
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