Studying the scalar bound states of the $K\bar K$ system in the Bethe-Salpeter formalism

Physics – High Energy Physics – High Energy Physics - Phenomenology

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23 pages, LaTeX2e. Discussions on the legitimacy of the ladder approximation and the instantaneous approximation are added. Re

Scientific paper

10.1103/PhysRevD.76.056004

We study the possible bound states of the $K\bar K$ system in the
Bethe-Salpeter formalism in the ladder and instantaneous approximations. We
find that the bound states exist. However, these bound states have very small
decay widths. Therefore, besides the possible $K\bar K$ component, there may be
some other structures in the observed $f_0(980)$ and $a_0(980)$ .

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