2003/12/20 by Hans–Christian Pauli, Hans-Christian Pauli, Pauli, Hans-Christian
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and Classical Electrodynamics #Quantum, superfluid, helium dynamics #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0312300
LaTeX2e, 4 pages, 11 references. Paper 5 of 5
arxiv created 2003/12/20 · arxiv updated 2009/12/01
The general equation from previous work is specialized to a quadratic potential V(r)=-a+\frac12 f r2 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 \citeGodIsg85 and Baldicchi and Prosperi \citeBalPro02. The short coming can be removed easily in more elaborate work.