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The role of the three-body interactions in the ground-states of 3H and 4Henuclei has been investigated by using two different methods. Accordingly, theground-state nuclear wave functions, the binding energies, the root mean-squareradii and the first excited-state energies of the 3H and 4He nuclei areinvestigated by applying the translation invariant shell model with basisfunctions corresponding to even number of quanta of excitations in the range 0less than or equal to N less than or equal to 20 and using two residualtwo-body interactions, given by the first author, together with three-bodyinteraction in the form of a delta force. Furthermore, we have calculated thebinding energy and the root mean-square radius of these nuclei by applying thevariational Monte Carlo method and using the Reid V_8 two-body potentialtogether with the Urbana model of the three-nucleon interaction.

Role of the Three-Body Interactions in the Ground-States of 3H and 4He Nuclei