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

2008/05/31 by J. L. Domenech-Garret, Juan-Luis Domenech-Garret, Miguel-Angel Sanchis-Lozano
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.cpc.2008.11.011

published as Comput.Phys.Commun.180:768-778,2009 · 30 pages, 3 figures, a new section on spin-dependent terms in the potential has been added

arxiv created 2008/11/19 · openalex publication_date 2008/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 ≠ 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.

Citations