Phenomenological model of the Kaonic Nuclear Cluster K^-pnn in the ground state

Abstract

A phenomenological model, proposed for the Kaonic Nuclear Cluster (KNC) K^-pp, is applied to the theoretical analysis of the KNC K^-pnn (or S^0). The theoretical values of the binding energy and the width are equal to epsilon_(S^0) = - 197 MeV and Gamma_(S^0) = 16 MeV. They agree well with the experimental data epsilon^(exp)_(S^0) = - 194.0(+ 1.5/- 4.4) MeV and Gamma^(exp)_(S^0) < 21 MeV} (PLB 597, 263 (2004)) and the theoretical values epsilon_(S^0) = - 191 MeV and Gamma_(S^0) = 13 MeV, obtained by Akaishi and Yamazaki within the potential model approach.

10 pages, 4 figures, Latex, Invited talk at the Workshop on ``Exotic hadronic atoms, deeply bound kaonic nuclear states and anti-hydrogen: present results, future challenges'' at ECT* in Trento, 19-24 June 2006, hep-ph/0610201; A plenary talk at the Workshop on ``QCD: Facts and Prospects'' in Oberwoelz, Austria, 10-16 October 2006, http://physik.uni-graz.at/itp/oberw/