Theoretical estimates of the trineutron and tetraneutron binding energies

The trineutron and tetraneutron binding energies are calculated using an interaction which reproduces 3H, 3He, 4H, 4He, and 4Li ground-state properties. A 4 h/2πω model space and completely symmetrized translationally invariant harmonic oscillator eigenstates are used in the analysis. The calculation yields a 3n eigenvalue within the range suggested in an experiment by Ohlsen et al. The 4n eigenvalue is consistent with the location of the first T = 2 level in the 4He system. (orig.)