Description of nuclei in the A$\sim$100 mass region with the interacting boson model

Abstract

Even--even nuclei in the $A\sim 100$ mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum, ruthenium and palladium isotopes with neutron number $N\ge 52$. A global parametrization of the {IBM-1} Hamiltonian is found leading to a description of about 300 collective levels in 30 nuclei with a root-mean-square deviation from the observed level energies of 120 keV. The importance of the $d_{5/2}$ subshell closure at neutron number N=56 is pointed out. The geometric character of the nuclei can be visualized by plotting the potential energy surface $V(\beta ,\gamma )$ obtained from the {IBM-1} Hamiltonian in the classical limit. The parametrization established on the basis of known elements is used to predict properties of the unknown, neutron-rich isotopes ${}^{106}$Zr, ${}^{112}$Mo, ${}^{116}$Ru and ${}^{122}$Pd.

15 pages, 7 figures, 4 tables, accepted for publication in Journal of Physics G

References in corpus (3)

• Triaxiality in the interacting boson model
• IBM-1 description of the fission products ${}^{108,110,112}$Ru
• IBM-1 calculations towards the neutron-rich nucleus ${}^{106}$Zr

Cited by in corpus (15)

• Quantum Phase Transition in the Shape of Zr isotopes
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at N\approx60
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Evidence for coexisting shapes in ${}^{98}$Zr through lifetime measurements
• Theoretical study of triaxial shapes of neutron-rich Mo and Ru nuclei
• Description of shape coexistence in ${}^{96}$Zr based on the collective quadrupole Bohr Hamiltonian
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• $\beta$-decay half-lives and nuclear structure of exotic proton-rich waiting point nuclei under $rp$-process conditions
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Description of the low-lying collective states of ${}^{96}$Zr based on the quadrupole-collective Bohr Hamiltonian
• Nuclear structure and weak rates of heavy waiting point nuclei under rp-process conditions
• Nuclear Structure Properties of even-even Chromium Isotopes and the E ect of Deformation on Calculated Electron Capture Cross Sections
• Evolution of the phenomenologically determined collective potential along the chain of Zr isotopes
• Nuclear Structure Properties and Stellar Weak Rates for 76Se: Unblocking of the Gamow Teller Strength