Collectivity in the light Xenon isotopes: A shell model study

Abstract

The lightest Xenon isotopes are studied in the framework of the Interacting Shell Model (ISM). The valence space comprises all the orbits lying between the magic closures N=Z=50 and N=Z=82. The calculations produce collective deformed structures of triaxial nature that encompass nicely the known experimental data. Predictions are made for the (still unknown) N=Z nucleus 108-Xe. The results are interpreted in terms of the competition between the quadrupole correlations enhanced by the pseudo-SU(3) structure of the positive parity orbits and the pairing correlations brought in by the 0h11/2 orbit. We have studied as well the effect of the excitations from the 100-Sn core on our predictions. We show that the backbending in this region is due to the alignment of two particles in the 0h11/2 orbit. In the N=Z case, one neutron and one proton align to J=11 and T=0. In 110-Xe and 112-Xe the alignment begins in the J=10 T=1 channel and it is dominantly of neutron neutron type. Approaching the band termination the alignment of a neutron and a proton to J=11 and T=0 takes over. In a more academic mood, we have explored the role of the isovector and isoscalar pairing correlations on the structure on the yrast bands of 108-Xe and 110-Xe and examined the role of the isovector and isoscalar pairing condensates in these N~Z nuclei.

7 pages, 10 figures

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• The Shell Model as Unified View of Nuclear Structure
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• Effective interaction for pf-shell nuclei
• The realistic collective nuclear Hamiltonian
• Microscopic mechanism of charged-particle radioactivity and generalization of the Geiger-Nuttall law
• Spherical Shell Model description of rotational motion
• The Origin of the Wigner Energy
• Intrinsic vs. laboratory frame description of the deformed nucleus 48Cr
• Pairing and the structure of the pf-shell N ~ Z nuclei
• Boson mappings and four-particle correlations in algebraic neutron-proton pairing models
• Backbending in 50Cr
• Half-lives of $\alpha$-emitters approaching the N=Z line
• Hyperdeformation in the cranked relativistic mean field theory: the Z=40-58 part of nuclear chart

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