TABLE VIII: Lorentzian-fit parameters of HEOR strength distributions in the Sn isotopes, as extracted from MDA. The results from TAMU work, where available, are provided for compari- son [19, 21]. a ( m 1 /m 0 ) ratios. measurements of the ISGMR in the Pb isotopes, using background-free inelastic spectra with high-energy α beams, would be worthwhile to fully examine this possibility. The incompressibility of a nucleus, K$_{A}$ , may be expressed as: Here, c ≈ -1[84], and K$_{Coul}$ is essentially model independent (in the sense that the deviations from one theoretical model to another are quite small), so that the associated term can be calculated for a given isotope. Thus, for a series of isotopes, the difference K$_{A}$ − K$_{Coul}$Z $^{2}$A − 4 / 3 may be approximated to have a quadratic relationship with the asymmetry parameter, of the type y = A + Bx $^{2}$, with K$_{τ}$ being the coefficient, B, of the quadratic term. It has been established previously [85, 86] that direct fits to the Eq. 8 do not provide good constraints on the value of K$_{∞}$. However, this expression is being used here not to obtain a value for K$_{∞}$, but, rather, only to demonstrate the approximately quadratic relationship between K$_{A}$ and the asymmetry parameter. From such an analysis of the ISGMR data in the Sn isotopes, we have obtained a value of 22 K$_{A}$ ∼ K$_{vol}$ (1 + cA − 1 / $^{3}$) + K$_{τ}$ (( N − Z ) /A ) 2 + K$_{Coul}$Z $^{2}$A − 4 / 3 (8) Target E$_{HEOR}$ (MeV) Γ (MeV) Reference $^{112}$Sn 22 . 7 ± 0 . 7 7 . 2 ± 1 . 9 This work 20 . 63 +0 . 30 − 0 28 3 . 21 +0 . 30 − 0 28 TAMU a $^{114}$Sn 22 . 7 ± 0 . 7 7 . 2 ± 2 . 1 This work $^{116}$Sn 22 . 3 ± 0 . 6 7 . 6 ± 1 . 7 This work 23 . 3 ± 0 . 8 10 . 9 ± 0 . 6 TAMU $^{118}$Sn 22 . 1 ± 0 . 6 5 . 9 ± 1 . 5 This work $^{120}$Sn 22 . 3 ± 0 . 6 7 . 5 ± 1 . 8 This work $^{122}$Sn 22 . 1 ± 0 . 6 5 . 6 ± 1 . 5 This work $^{124}$Sn 22 . 1 ± 0 . 5 8 . 1 ± 1 . 5 This work 19 . 12 +0 . 26 − 0 26 3 . 30 +0 . 17 − 0 05 TAMU a