The spin -spin mass splitting of light, heavy and mixed mesons are described within a good accuracy in the potential model with screened potential. We conclude that the long -distance part of the potential cannot be pure scalar and that a vector -scalar mixture is favoured. With the same parameters which gives correct average mass spectrum excellent spin -spin splittings of heavy quarkonia is obtained. The results are obtained by going beyond usually used perturbation method, namely using configuration interaction approach.
Based on the numeric solution of a system of coupled channels for vector
mesons ($S$- and $D$-waves mixing) and for tensor mesons ($P$- and $F$-waves
mixing) mass spectrum and wave functions of a family of vector mesons
$q\bar{q}$ in triplet states are obtained. The calculations are performed using
a well known Cornell potential with a mixed Lorentz-structure of the
confinement term. The spin-dependent part of the potential is taken from the
Breit-Fermi approach. The effect of singular terms of potential is considered
in the framework of the perturbation theory and by a configuration interaction
approach (CIA), modified for a system of coupled equations. It is shown that
even a small contribution of the $D$-wave to be very important at the
calculation of certain characteristics of the meson states.Comment: 12 pages, LaTe
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.