FIG. 6: Same as Fig. 4, except for $^{124}$Sn. TABLE II: OM parameters obtained by fitting elastic scattering data. Also listed are the B(E2) values for the corresponding 2 + 1 states from Refs. [53, 54]. The optical-model (OM) parameters viz. the real part of the potential ( V$_{F}$ ( r )), the Woods-Saxon type imaginary part of potential ( W ), the reduced radius ( R$_{I}$ ), and the dif- fuseness ( a$_{I}$ ) in Eq. 2 were determined by fitting the differential cross sections of elastic α scattering measured for $^{112}$Sn, $^{120}$Sn, and $^{124}$Sn in a companion experiment; the results are listed in Table II. The OM fits to the elastic scattering data for $^{112}$Sn, $^{120}$Sn, and $^{124}$Sn, are shown in Figs. 4(a), 5(a), and 6(a), respectively. To test the efficacy of the OM parameters, DWBA calculations were carried out for the first 2 + states in these nuclei using a collective form factor and previously-established B(E2) values obtained from Refs. [53, 54] (also listed in Table II). Figures. 4(b), 5(b), and 6(b) compare the results of these calculations with the experimental data; indeed, the DWBA calculations reproduce the experimental differential cross sections for the 2 + 1 states well without any normalization. The contribution of the IVGDR excitation to the measured cross sections was subtracted 10 GLYPH<s48> GLYPH<s53> GLYPH<s49>GLYPH<s48> GLYPH<s49>GLYPH<s53> GLYPH<s50>GLYPH<s48> GLYPH<s50>GLYPH<s53> GLYPH<s49>GLYPH<s48> GLYPH<s48> GLYPH<s49>GLYPH<s48> GLYPH<s49> GLYPH<s49>GLYPH<s48> GLYPH<s50> GLYPH<s49>GLYPH<s48> GLYPH<s45>GLYPH<s52> GLYPH<s49>GLYPH<s48> GLYPH<s45>GLYPH<s51> GLYPH<s49>GLYPH<s48> GLYPH<s45>GLYPH<s50> GLYPH<s49>GLYPH<s48> GLYPH<s45>GLYPH<s49> GLYPH<s49>GLYPH<s48> GLYPH<s48> GLYPH<s49>GLYPH<s50>GLYPH<s52> GLYPH<s83>GLYPH<s110>GLYPH<s40> GLYPH<s39> GLYPH<s41> GLYPH<s40>GLYPH<s98>GLYPH<s41> GLYPH<s100> GLYPH<s100> GLYPH<s40>GLYPH<s109>GLYPH<s98>GLYPH<s47>GLYPH<s115> GLYPH<s114>GLYPH<s41> GLYPH<s99> GLYPH<s46>GLYPH<s109>GLYPH<s46> GLYPH<s32>GLYPH<s40>GLYPH<s100>GLYPH<s101>GLYPH<s103>GLYPH<s41> GLYPH<s40>GLYPH<s97>GLYPH<s41> GLYPH<s101>GLYPH<s108> GLYPH<s47>GLYPH<s32> GLYPH<s114>GLYPH<s117>GLYPH<s116>GLYPH<s104> GLYPH<s49>GLYPH<s50>GLYPH<s52> GLYPH<s83>GLYPH<s110>GLYPH<s40> GLYPH<s41> Target V (MeV) W (MeV) a$_{I}$ (fm) R$_{I}$ (fm) B(E2) ( e $^{2}$b$^{2}$) $^{112}$Sn 33.9 31.7 0.60 1.02 0.24 $^{120}$Sn 33.4 33.0 0.63 1.01 0.20 $^{124}$Sn 34.0 33.5 0.61 1.02 0.17