Abstract
The properties of the isoscalar giant monopole resonance (ISGMR) for the double magic $${}^{48}$$ Ca are analyzed in the framework of a microscopic model based on Skyrme-type interactions. A method for simultaneously taking into account the coupling between one-, two- and three-phonon terms in the wave functions of $$0^{+}$$ states has been developed. The inclusion of three-phonon configurations leads to a substantial redistribution of the ISGMR strength to lower energy $$0^{+}$$ states and also higher energy tail. Our results demonstrate that the developed approach enables us to describe a gross structure of the ISGMR spreading width.
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