A quadratic potential in a light cone QCD inspired model

dc.creatorPauli, Hans-Christian
dc.date2003-12-20
dc.date.accessioned2026-07-07T03:51:39Z
dc.date.available2026-07-07T03:51:39Z
dc.descriptionThe general equation from previous work is specialized to a quadratic potential $V(r)=-a+\frac12 f r^2$ acting in the space of spherically symmetric S wave functions. The fine and hyperfine interaction creates then a position dependent mass $\widetilde m(r)$ in the effective kinetic energy of the associated Schrödinger equation. The results are compared with the available experimental and theoretical spectral data on the $π$ and $ρ$. Solving the eigenvalue problem within the usual oscillator approach induces a certain amount of arbitrariness. Despite of this, the agreement with experimental data is within the experimental error and better than other calculations, including Godfrey and Isgur \cite{GodIsg85} and Baldicchi and Prosperi \cite{BalPro02}. The short coming can be removed easily in more elaborate work.
dc.descriptionLaTeX2e, 4 pages, 11 references. Paper 5 of 5
dc.identifierhttps://arxiv.org/abs/hep-ph/0312300
dc.identifierhttp://arxiv.org/abs/hep-ph/0312300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/43177
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA quadratic potential in a light cone QCD inspired model
dc.typetext

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