Molecule model for deeply bound and broad kaonic nuclear clusters
Abstract
A molecule model is proposed for the description of the properties of the kaonic nuclear cluster (KNC) anti-KNN with the structure N(ant-KN)(I = 0) and quantum numbers I(JP) = 1/2(0-), the large binding energy B()(anti-KNN) = 103(6) MeV and the width Gamma()(anti-KNN) = 118(13) MeV, observed recently by the DISTO Collaboration. The theoretical values of the binding energy B(th)(anti-KNN) = 118 MeV, the width Gamma(th)(anti-KNN) = 142 MeV of the KNC anti-KNN and the density n(anti-KNN) = 2.71 n0, where n0= 0.17 fm(-3) is the normal nuclear density, reproduce well the large experimental values. They are calculated with the trial harmonic oscillator wave functions by using chiral Lagrangians, accounting for all self-energy terms, contributing to the masses of the kaonic nuclear clusters (anti-KN)(I = 0) and anti-KNN. In addition the high Lambda*p sticking probability in the pp reaction at the kinetic energy Tp = 2.85 GeV of the incident proton is explained.
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