Compressional-mode Giant Resonances in $^{24}$Mg.

A precise measurement of the incompressibility of nuclear matter (K$_{nm})$ is required for understanding the properties of nuclei, neutron stars and supernova explosions. This can be achieved through the measurements of compressional-mode giant resonances--the isoscalar giant monopole resonance (ISGMR) and the isoscalar giant dipole resonance (ISGDR). ~We have performed measurements on GMR and ISGMR in $^{24}$Mg using forward-angle inelastic scattering of 400 MeV $\alpha $-particles. Differential angular distributions were measured over an angular range of 0-10 degree and an excitation energy range of 10-50 MeV. Strength distributions for both the compressional-mode giant resonances were obtained by employing the multi-pole decomposition procedure. The experimental results and their implications on the K$_{nm}$ will be discussed.