Investigation of the deformation effect on the Isgmr for even-even A=90-108 zirconium isotopes via Qfam

Relativistic energy density functions (REDF) are widely used in theoretical nuclear structure calculations in order to explain the ground state and dynamic properties of atomic nuclei. In this thesis, the Quasi Finite Amplitude Method (QFAM) based on REDF is used to investigate the collective excitations of the nucleus. Within the framework of this method, the effects of the nuclear shape and neutron excess, which change along even-even the 90-108^Zr isotopic chain, on Isoscalar Giant Monopol Resonance (ISGMR) are investigated. As a result of nuclear deformation, it is found that ISGMR exhibits a dual structure. The reason for this splitting is shown to be the coupling of the low energy peak of ISGMR with the K=0 branch of Isoscalar Giant Quadrupole Resonance (ISGQR) in prolate nuclei. In addition, it has been shown that the low energy part of isoscalar monopol strength peak grows with increasing neutron number.