K- pp bound states from Skyrmions

The bound kaon approach to the strangeness in the Skyrme model is applied to investigating the possibility of deeply bound K- pp states. We describe the K-pp system as two Skyrmion, around which a kaon field fluctuates. Each Skyrmion is rotated in the space of SU(2) collective coordinate. The rotational motions are quantized to be projected onto the spin-singlet proton-proton state. We derive the equation of motion for the kaon in the background field of two Skyrmions at fixed positions. From the numerical solution of the equation of motion, it is found that the energy of K- can be considerably small and that the distribution of K- shows molecular nature of the K- pp system. For this deep binding, the Wess-Zumino-Witten term plays an important role. The total energy of the K- pp system is estimated in the Bom-Oppenheimer approximation. The binding energy of the K- pp, state is B.E. similar or equal to 126 MeV. The mean square radius of the pp subsystem is root < r(pp)(2)> similar or equal to 1.6 fm.