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The nuclear equation of state and incompressibility are studied in a modelwith correlations. We first consider a Hartree solution and then addone-particle-one hole (1p-1h) and two particle-two hole (2p-2h) admixtures intothe wavefunction using a separable monopole-monopole interaction which inducesgiant monopole vibrations. Stable and unstable point arise in the nuclearequation of state as a function of the oscillator size parameter from pure1p-1h admixtures. Addition of 2p-2h admixtures lead to one stable point.However, the incompressibility is found to be quite different from the Hartreecase with 1p-1h admixtures, even with 2p-2h states included. PACS 21.65.Mn,24.30.Cz

Nuclear equation of state and incompressibility in a model with correlations from giant monopole vibrations