Abstract
We show first that a natural potential to be used in a semirelativistic wave equation for theS=1,J=J max light and heavy mesons is, forr≳1 Fermi,V(r)=ar+b/r withb≃−π/2, forr≲1 Fermi,V(r)=cln(r/r 0). Next we show that this particularb value favours in fact a QCD-like potential forr≲1 Fermi so that a logarithmic potential is only an effective one in a smallr region.
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Olivier, D. Experimentally favoured potential for mesons. Z. Phys. C - Particles and Fields 27, 315–319 (1985). https://doi.org/10.1007/BF01556622
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DOI: https://doi.org/10.1007/BF01556622