Abstract

The renormalization of the effective interaction by (A+2)particle-2 hole excitations is studied at the example of48Ti. The many body problem is solved for the low lying rotational and vibrational states with a generator coordinate method (GCM) built on constrained Hartree-Fock-Bogoliubov (HFB) solutions with angular momentum and particle number projection. To test the quality of the renormalization a calculation is performed in apf shell space with the renormalized and the bare interaction and in apf-sd shell space with the bare reaction matrix of the same force (Hamada-Johnston). For small deformations one finds good agreement between the results of the renormalized force in the small space and the bare interaction in the large space. For larger deformations this agreement breaks down. The causes for this are discussed.

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