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

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

2008-05-19

arxiv.org/abs/0805.2704v2

Comput.Phys.Commun.180:768-778,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.cpc.2008.11.011

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.

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