Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes

Abstract

We investigate the roles of deformation on the giant monopole resonance (GMR), particularly the mixing of the giant quadrupole resonance (GQR) and the effects of the neutron excess in the well-deformed nuclei around ${}^{110}$Zr and in the drip-line nuclei around ${}^{140}$Zr by means of the deformed quasiparticle-random-phase-approximation employing the Skyrme and the local pairing energy-density functionals. It is found that the isoscalar (IS) GMR has a two-peak structure, the lower peak of which is associated with the mixing between the ISGMR and the $K^{\pi }=0^{+}$ component of the ISGQR. The transition strengths of the lower peak of the ISGMR grows as the neutron number increases. In the drip-line nuclei, the neutron excitation is dominant over the proton excitation. We find for an isovector (IV) excitation the GMR has a four-peak structure due to the mixing of the IS and IV modes as well as the mixing of the $K^{\pi }=0^{+}$ component of the IVGQR. Besides the GMR, we find the threshold strength generated by neutrons only.

arXiv comment6 pages including 3 figures and 2 tables

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Cited by in corpus (14)

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• Shape evolution of giant resonances in Nd and Sm isotopes
• Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation
• Multipole modes in deformed nuclei within the finite amplitude method
• Spin-isospin response of deformed neutron-rich nuclei in a self-consistent Skyrme energy-density-functional approach
• Role of pairing in the description of Giant Monopole Resonances
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Deformation-induced splitting of isoscalar E0 giant resonance: Skyrme random-phase-approximation analysis
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
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• Low-energy monopole strength in spherical and deformed nuclei : cluster and soft modes
• Evolution of giant monopole resonance with triaxial deformation
• Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry