Strange dibaryon in the bound kaon approach to the Skyrme model

The bound kaon approach to the Skyrme model is applied to exploring the possibility of deeply bound ppK- states. We derive the equation of motion for the kaon in the background field of baryon number 2 Skyrmion, which is expressed by product ansatz. Each Skyrmion is rotated in the space of SU(2) collective coordinate and the rotational motion is quantized to specify the spin and the isospin of the nucleon. We consider the spin-singlet proton–proton state. The equation of motion is numerically solved. We find that the s-wave kaon can acquire large binding energy for relatively large proton–proton distances. For instance, the binding energy for View the MathML source is View the MathML source. The kaon localizes in the region between the protons. The obtained results suggest the existence of the deeply bound ppK- states.