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(J^P) = 1/2(0^-), the large binding energy B^\xp)(anti-KNN) = 103(6) MeV and the width Gamma^\xp)(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 n_0, where n_0= 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 T_p = 2.85 GeV of the incident proton is explained.