Isoscalar Giant Dipole Resonance of Tin Isotopes 112, 114, 116, 118, 120, 122, 124Sn Using HF- BCS and QRPA Approximations

The isoscalar giant dipole resonance (ISGDR) of the even-even Tin isotopes 112, 114, 116, 118, 120, 122, 124Sn has been investigated by using fully self-consistent quasiparticle random phase approximation (QRPA) based on Bardeen Cooper Schriffer-Hartree Fock (HF-BCS). We depend on five sets of Skyrme-type interactions (T5, SKM, SLY4, SGII, and SKX) with varying effective mass m*/m and nuclear matter incompressibility coefficient KNM. Furthermore, the calculations incorporate the effects of several pairing force types, such as volume, surface, and mixed. The calculated strength distributions, scaled energies Es, constrained energies Econ, and centroid energies Ecen of the ISGDR for the investigated isotopes are compared with the available experimental data. Analysis is done on the relationships between KNM and m*/m, and the estimated properties.