KKbar molecules with momentum-dependent interactions
Lemmer, R. H.
Original · EN
It is shown that the momentum-dependent kaon-antikaon interactions generated via vector meson exchange from the standard SUᵥ(3) x SUₐ(3) interaction Lagrangian lead to a non-local potential in coordinate space that can be incorporated without approximation into a non-relativistic version of the Bethe-Salpeter wave equation containing a radial-dependent effective kaon mass appearing in a fully symmetrized kinetic energy operator, in addition to a local potential. Estimates of the mass and decay widths of f₀(980) and a₀(980), considered as KKbar molecules of isospin 0 and 1, as well as for K+K- atomic bound states (kaonium) are presented, and compared with previous studies of a similar nature. It is argued that without a better knowledge of hadronic form factors it is not possible to distinguish between the molecular versus elementary particle models for the structure of the light scalar mesons.
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