The incompressibility (compression modulus) K0 of infinite symmetric nuclear matter at saturation density has become one of the major constraints on mean-field models of nuclear many-body systems as well as of models of high density matter in astrophysical objects and heavy-ion collisions. It is usually extracted from data on the Giant Monopole Resonance (GMR) or calculated using theoretical models. We present a comprehensive re-analysis of recent data on GMR energies in even-even 112−124 Sn and 106,100−116 Cd and earlier data on 58 ≤ A ≤ 208 nuclei. The incompressibility of finite nuclei KA is calculated from experimental GMR energies and expressed in terms of A −1/3 and the asymmetry parameter β = (N-Z)/A as a leptodermous expansion with volume, surface, isospin and Coulomb coefficients K vol , K surf , Kτ and K coul . Only data consistent with the scaling approximation, leading to a fast converging leptodermous expansion, with negligible higher-order-term contributions to KA, were used in the present analysis. Assuming that the volume coefficient K vol is identified with K0, the K coul = -(5.2 ± 0.7) MeV and the contribution from the curvature term KcurvA −2/3 in the expansion is neglected, compelling evidence is found for K0 to be in the range 250 < K0 < 315 MeV, the ratio of the surface and volume coefficients c = K surf /K vol to be between -2.4 and -1.6 and Kτ between -840 and -350 MeV. In addition, estimation of the volume and surface parts of the isospin coefficient Kτ , Kτ,v and Kτ,s, is presented.We show that the generally accepted value of K0 = (240 ± 20) MeV can be obtained from the fits provided c ∼ -1, as predicted by the majority of mean-field models. However, the fits are significantly improved if c is allowed to vary, leading to a range of K0, extended to higher values. The results demonstrate the importance of nuclear surface properties in determination of K0 from fits to the leptodermous expansion of KA .A self-consistent simple (toy) model has been developed, which shows that the density dependence of the surface diffuseness of a vibrating nucleus plays a major role in determination of the ratio K surf /K vol and yields predictions consistent with our findings.

Development of neutron-rich radioactive beams at the Holifield Radioactive Ion Beam Facility has stimulated experimental and theoretical activity in heavy Sn and Te isotopes. Recently, the g factor of the first 2 + state in 132 Te has been measured. We report here new shell-model calculation of magnetic moments for selected Sn and Te isotopes. The residual interaction is based on the CD-Bonn renormalized G matrix. Single-particle spin and orbital effective g factors are evaluated microscopically including core polarization and meson exchange currents effects.

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