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

M. Böyükata 1 P. van Isacker 2 I. Uluer 1
2 Théorie
GANIL - Grand Accélérateur National d'Ions Lourds
Abstract : Even--even nuclei in the $A\sim100$ mass region are investigated within the framework of the interacting boson model-1 (\mbox{IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum, ruthenium and palladium isotopes with neutron number $N\geq52$. A global parametrization of the \mbox{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 \mbox{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.
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Submitted on : Thursday, July 1, 2010 - 3:41:00 PM
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M. Böyükata, P. van Isacker, I. Uluer. Description of nuclei in the A$\sim$100 mass region with the interacting boson model. Journal of Physics G: Nuclear and Particle Physics, IOP Publishing, 2010, 37, pp.105102. ⟨10.1088/0954-3899/37/10/105102⟩. ⟨in2p3-00496883⟩

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