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One-nucleon overlap functions, needed for nucleon-removal reactioncalculations, are solutions of an inhomogeneous equation with the source termdefined by the wave functions of the initial and final nuclear states andinteraction between the removed nucleon with the rest. The source term approach(STA) allows the overlaps with correct asymptotic decrease to be modelled whileusing nuclear many-body functions calculated in minimal model spaces. Byproperly choosing the removed nucleon interaction the minimum-model-space STAcan reproduce reduced values of spectroscopic factors extracted fromnucleon-removal reactions and predicts isospin asymmetry in the spectroscopicfactor reduction. It is well-known that model space truncation leads to theappearance of higher-order induced forces, with three-nucleon force being themost important. In this paper the role of such a force on the source termcalculation is studied. Applications to one-nucleon removal from double-magicnuclei show that three-nucleon force improves the description of availablephenomenological overlap functions and reduces isospin asymmetry inspectroscopic factors.

Modelling overlap functions for one-nucleon removal: role of the effective three-nucleon force