Theoretical Study of Isoscalar Giant Monopole Resonance in ^{110,112,114,116}Cd Isotopes Using Self-consistent Skyrme HF-BCS and QRPA

In this work, the isoscalar giant monopole resonance (ISGMR) of even-A Cadmium (^{110,112,114,116}Cd) isotopes has been studied in the framework of self-consistent Skyrme Hartree–Fock–Bardeen, Cooper and Schrieffer (HF–BCS) and quasiparticle random phase approximation (QRPA). Ten Skyrme-type parameters are used in the calculations, i.e., SkP, eMSL09, MSL0, T44, BSK20, Ska, SV, QMC2, SII and SGOI having different values of the nuclear matter incompressibility modulus K_MN. The calculated strength distributions, centroid energy E_cen, constrained energy E_con, and scaling energy E_s of ISGMR are compared with available experimental data. It has found that the interactions with low incompressibility value more suitable to describe the ISGMR strength distributions for all isotopes, where the high K_NM shift the peak to upper energy and low strength while the low K_NM shift it to less energy and upper strength.