SHELL EFFECTS ON NUCLEAR INCOMPRESSIBILITY

We present an analytical estimate for the upper limit of the shell cor rection SK, to the compressibility coefficient KA Of finite nuclei. A simple model with a spherical harmonic oscillator potential was adopte d and the self-consistency condition was taken into account. We find t hat the magnitude of the shell correction term delta K-A is comparable to that associated with the current experimental uncertainties in det ermining the energy of the isoscalar giant monopole resonance.