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