Variational calculation of the ppK- system based on chiral SU(3) dynamics

By Akinobu Dot'e, T. Hyodo, W. Weise. 2008

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The ppK{sup -} system, as a prototype for possible quasibound K nuclei, is investigated using a variational approach. Several versions of energy-dependent effective KN interactions derived from chiral SU(3) dynamics are employed as input, together with a realistic NN potential (Av18). Taking into account theoretical uncertainties in the extrapolations below the KN threshold, we find that the antikaonic dibaryon ppK{sup -} is not deeply bound. With the driving s-wave KN interaction the resulting total binding energy is B(ppK{sup -})=20{+-}3 MeV and the mesonic decay width involving KN{yields}{pi}Y is expected to be in the range 40-70 MeV. Properties of this quasibound ppK{sup -} system (such as density distributions of nucleons and antikaon) are discussed. The {lambda}(1405), as an I=0 quasibound state of K and a nucleon, appears to survive in the ppK{sup -} cluster. Estimates are given for the influence of p-wave KN interactions and for the width from two-nucleon absorption (KNN{yields}YN) processes. With inclusion of these effects and dispersive corrections from absorption, the ppK{sup -} binding energy is expected to be in the range 20-40 MeV, whereas the total decay width can reach 100 MeV but with large theoretical uncertainties.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cc6fcad5ca8e1e57f8742a1c0c9ee296fc22181e

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