Energy and width of a narrowI=1/2DNNquasibound state

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The energies and widths of $DNN$ quasibound states with isospin $I=1/2$ are evaluated in two methods, the fixed center approximation to the Faddeev equation and the variational method approach to the effective one-channel Hamiltonian. The $DN$ interactions are constructed so they dynamically generate the ${\ensuremath{\Lambda}}_{c}(2595)$ ($I=0$, ${J}^{\ensuremath{\pi}}=1/{2}^{\ensuremath{-}}$) resonance state. We find that the system is bound by about 250 MeV from the $DNN$ threshold, $\sqrt{s}\ensuremath{\sim}3500$ MeV. Its width, including both the mesonic decay and the $D$ absorption, is estimated to be about 20--40 MeV. The $I=0$ $DN$ pair in the $DNN$ system is found to form a cluster that is similar to the ${\ensuremath{\Lambda}}_{c}(2595)$.