Bound kaon approach for the ppK- system in the Skyrme model

Details Bound kaon approach for the ppK- system in the Skyrme model Bound kaon approach for the ppK- system in the Skyrme model

2007-03-09

arxiv.org/abs/hep-ph/0703100v3

Few Body Syst.44:141-144,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Mar 2007, 5 pages, 2 figures

Scientific paper

10.1007/s00601-008-0276-9

The bound kaon approach to the strangeness in 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 of baryon number two Skyrmion expressed by the product ansatz. Collective coordinate quantization is performed to extract the spin-singlet proton-proton state. The numerical solution of the equation of motion shows that the kaon can acquire large binding energy for reasonable proton-proton relative distances. For this deep binding, the Wess-Zumino-Witten term plays an important role. The kaon tends to be centered between the protons.

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