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Description of octupole degrees of freedom in the U(5) ↔ SO(13) transitional region

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Abstract.

In this paper, we discuss the problem of describing the collective states with negative parity in even-even nuclei by adding f boson to the usual sd-interacting boson model. The sdf -interacting boson model, which includes monopole (\(s, L=0\)), quadrupole (\(d, L=2\)) and octupole (\(f, L=3\)) degrees of freedom, enables analyzing the electric transitions of atomic nuclei. We proposed a solvable extended transitional Hamiltonian based on affine SU(1,1) Lie algebra within the framework of the sdf -interacting boson model to describe the low-lying octupole states between the spherical and deformed gamma-unstable shapes. Numerical extraction to low-lying energy levels and transition probabilities within the control parameters of this evaluated Hamiltonian are presented for various N values. By reproducing the experimental results, the extended interacting boson model calculations provide a better description of Pd isotopes in this transitional region.

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Authors and Affiliations

  1. Department of Physics, University of Tabriz, 51664, Tabriz, Iran

    A. Jalili Majarshin, M. A. Jafarizadeh & H. Sabri

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  1. A. Jalili Majarshin
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  2. M. A. Jafarizadeh
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  3. H. Sabri
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Correspondence to H. Sabri.

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Jalili Majarshin, A., Jafarizadeh, M.A. & Sabri, H. Description of octupole degrees of freedom in the U(5) ↔ SO(13) transitional region. Eur. Phys. J. Plus 132, 418 (2017). https://doi.org/10.1140/epjp/i2017-11664-8

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