Possible<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-wave bound-states of two pseudoscalar mesons

Abstract

Using the potentials derived from vector-meson-exchanges, the $K\overline{K}$, $DK$, $B\overline{K}$, $D\overline{D}$, $B\overline{B}$, $BD$, $\overline{D}K$, $BK$ and $B\overline{D}$ systems are studied. Possible $S$-wave bound-states of two pseudoscalar mesons are discussed. We find that systems of $DB$, $D\overline{D}$, $B\overline{B}$ and $DK$ with isospin 0 are likely to form $S$-wave bound states via strong interactions while the others are unlikely to be bound by the strong interaction sector alone. With the Coulomb potential, the ${K}^{+}{K}^{\ensuremath{-}}$ system can form an atomic bound state - the kaonium. The influence of the one-meson-exchange potential on the ground-state energy of the kaonium and its decay widths to $\ensuremath{\pi}\ensuremath{\pi}$ and $\ensuremath{\pi}\ensuremath{\eta}$ are evaluated.