Abstract
A three-nucleon force, to be used in sd-shell-model calculations has been evaluated microscopically. One part of this three-nucleon force arises from the fact that non-nucleonic degrees of freedom, with the possibility of exciting nucleons to the Δ(3, 3) resonance, are neglected in a shell-model calculation. Beside this component of a “real” three-nucleon force also the effective three-body interaction is included in second-order perturbation theory which accounts for the restriction to sd-shell-model configurations. A shell-model computer code has been set up which allows the treatment of a general three-body force in a j -coupled basis. The three-body force has a very small influence on the spectra of the systems with three valence nucleons ( A = 19). Larger effects emerge for A = 20 and A = 21.
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