Theory Seminar

DATE: 2007-07-13 16:00 - 17:00
PLACE: Kenkyu Honkan Rm. 321
TITLE: Bound kaon approach for the ppK- system
CONTACT: tsuda
SPEAKER: Tetsuo Nishikawa   (Tokyo Institute of Technology Univ)
LANGUAGE: Japanese
ABSTRACT: The bound kaon approach to the Skyrme model is applied to exploring the possibility of deeply bound ppK- states. We describe the ppK- system as two-Skyrmions around which a kaon field fluctuates. Each Skyrmion is rotated in the space of SU(2) collective coordinate and the rotational motion is quantized to be projected onto the spin-singlet proton-proton state. We derive the equation of motion for the kaon under the background of the Skyrmions at fixed positions and solve it numerically. Then we obtain the energy eigenvalue of K- as a function of the relative distance between the two Skyrmions, R . It is found that the lowest-lying mode is s-wave and its energy can be considerably small. For instance, for R close to the average inter NN distance in normal nuclei, the binding energy of the kaon is 140MeV. For this strong binding, an attractive contribution arising from the Wess-Zumino-Witten term, which binds Lambda(1405), plays an important role. The binding energy of the ppK- state is also estimated in the Born-Oppenheimer approximation. The kaon is centered between the two protons for small proton-proton separation, while for large separation it has the distribution characteristic to molecular orbital states.

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