A quadratic potential in a light cone QCD inspired model

Details A quadratic potential in a light cone QCD inspired model A quadratic potential in a light cone QCD inspired model

2003-12-20

arxiv.org/abs/hep-ph/0312300v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX2e, 4 pages, 11 references. Paper 5 of 5

Scientific paper

The 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 Schr\"odinger equation. The results are compared with the available experimental and theoretical spectral data on the $\pi$ and $\rho$. 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.

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