On the Bound State of the Trineutron by Solving the Faddeev Equation in Coordinate Space

The investigation of the possibility of a trineutron CSn) bound state has received considerable attention. The experimental evidence of the bound state of 3n with the binding energy of 1 MeV was once reported by Ajdacic et al. 1> and Kim et al.;> while all other numerous measurements could not find the evidence of the bound state.') In calculations of the bound state of 3n there exist contradictory results. Mitra-Bhasin"> and Jacob-Gupta5> investigated this problem using the Faddeev equation with separable interaction and concluded that the bound state of 3n was likely to exist, while Okamoto and Davies6) and Barbin calculated using some variational method with simple conventional potentials and found the trineutron state to be unbound. The state (L, S, J) P = (1, t t) ~ was discussed by Mitra