Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility

Abstract

The strength distributions of the giant monopole resonance (GMR) have been measured in the even-A Sn isotopes (A=112--124) with inelastic scattering of 400-MeV $\hat{I}\pm$ particles in the angular range $0^{\circ }$--$8.5^{\circ }$. We find that the experimentally-observed GMR energies of the Sn isotopes are lower than the values predicted by theoretical calculations that reproduce the GMR energies in ${}^{208}$Pb and ${}^{90}$Zr very well. From the GMR data, a value of $K_{\ddot{I}}„=-550\pm 100$ MeV is obtained for the asymmetry-term in the nuclear incompressibility.

Submitted to Physical Review Letters. 10 pages; 4 figures