Energy and width of a narrow I=1/2 DNN quasibound state
The energies and widths of DNN quasi-bound 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 that they dynamically generate the Λc(2595) (I=0, Jπ=1/2−) resonance state. We find that the system is bound by about 250 MeV from the DNN threshold, s√∼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 Λc(2595).
Bayar, Melahat Xiao, Chu Wen Hyodo, T. Dote, A. Oka, M. Oset Báguena, Eulogio 2012 Energy and width of a narrow I=1/2 DNN quasibound state Physical Review C 86 4 044004