Variational calculation of K^- p p with Chiral SU(3)-based over(K, ̄) N interaction

The prototype of a over(K, ̄) nuclear cluster, K^- p p, has been investigated using effective over(K, ̄) N potentials based on chiral SU(3) dynamics. Variational calculation shows a bound state solution with shallow binding energy B (K^- p p) = 20 ± 3 MeV and broad mesonic decay width Γ (over(K, ̄) N N → π Y N) = 40 - 70 MeV. The over(K, ̄) N (I = 0) pair in the K^- p p system exhibits a similar structure as the Λ (1405). We have also estimated the dispersive correction, p-wave over(K, ̄) N interaction, and two-nucleon absorption width.