2003/12/20 by Hans–Christian Pauli, Pauli, Hans-Christian
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.hep-ph/0312299
openalex publication_date 2003/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The general equation from previous work is specialized to a linear potential V(r)=-a+F r acting in the space of spherically symmetric S wave functions. The fine and hyperfine interaction creates then a \frac1r-dependence in the effective potential energy equation and 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 analytically tractable Airy-function approach induces a certain amount of arbitrariness (fudge factors). Despite of this, the agreement with experimental data is good and partially better than other calculations, including Godfrey and Isgur \citeGodIsg85 and Baldicchi and Prosperi \citeBalPro02. The short comings of the present model can be removed easily in more elaborate work.