Finding the Incompressibility of Nuclear Matter

The incompressibility coefficient is an important ingredient of nuclear matter's Equation of State and is significant to understanding neutron stars, supernova explosions and heavy ion collisions. Nuclear matter's incompressibility (K$_{nm})$ can be determined from the energy of the isoscalar Giant Monopole Resonance theory of nuclei: a collective mode of the nucleus in which the protons and neutrons oscillate in phase. We determined the compressibility coefficients for a set of nuclei using data for the energy of the monopole resonances and the mass radii. Using an A$^{-1/3}$ expansion analogous to that of the mass formula we extract K$_{nm}$. Upon examination of the coefficients of the expansion, it becomes evident that more data is needed to deduce an accurate value for K$_{nm}$.