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

Abstract

The isoscalar giant dipole resonance (ISGDR) of the even-even Tin isotopes 112,114,116,118,120,122,124 Sn 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 K NM . Furthermore, the calculations incorporate the effects of several pairing force types, such as volume, surface, and mixed. The calculated strength distributions, scaled energies E s , constrained energies E con , and centroid energies E cen of the ISGDR for the investigated isotopes are compared with the available experimental data. Analysis is done on the relationships between K NM and m * /m, and the estimated properties.