Giant resonance study by $^{6}$Li scattering

The compressibility of nuclear matter K$_{nm}$ can be related to the energies of the isoscalar giant monopole resonance (ISGMR). Essentially all of the precise data on the ISGMR energies have been obtained with inelastic $\alpha $ scattering. Dennert et al[1] have successfully studied the ISGMR in $^{24}$Mg with $^{6}$Li scattering, and we have chosen to study $^{6}$Li scattering as an alternate means of obtaining these energies. A $^{6}$Li target might also be viable for studying the ISGMR in unstable nuclei. A beam of 240MeV $^{6}$Li ions from the Texas A{\&}M University K500 superconducting cyclotron bombarded self-supporting target foils of $^{24}$Mg, $^{28}$Si, $^{116}$Sn in the target chamber of the multipole-dipole-multipole(MDM) spectrometer. Elastic scattering from 5$^{0}\sim $35$^{0}$ and inelastic scattering from 0$^{0}\sim $6$^{0}$ deg were measured. Both Woods-Saxon phenomenological potentials and N-N effective M3Y interaction folded potentials have been used to fit the elastic scattering data from $^{116}$Sn. $^{6}$Li inelastic scattering to low-lying states and the giant resonance region of $^{116}$Sn was analyzed by both the deformed potential model and folded potential model. [1] H. Dennert et al, Phys. Rev. C \underline {52}, 3195 (1995)