DOI: https://doi.org/10.30970/jps.10.290
APPLICATION OF TWO-BODY DIRAC EQUATION IN MESON SPECTROSCOPY
A. Duviryak
Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine,
1 Svientsitskii St., UA–79011 Lviv, Ukraine
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Journal of Physical Studies 10(4), 290–314 (2006)
DOI: https://doi.org/10.30970/jps.10.290 APPLICATION OF TWO-BODY DIRAC EQUATION IN MESON SPECTROSCOPYA. Duviryak
Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, |
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The two-body Dirac equation with the general local potential is reduced to a pair of ordinary second-order differential equations for radial components of the wave function. The class of special potentials is found for which the equation possesses exact solutions. For other cases the pseudo-perturbative $1/j$-expansion method is proposed. Several models of light mesons are constructed and exact and approximate energy spectra are calculated. They are compared with experimental data.
PACS number(s): 03.65.Pm, 03.65.Ge, 12.39.Pn