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• W4386773612 abstract "Abstract The shape transition from spherical vibrator U(5) to $$gamma$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>γ</mml:mi> </mml:math> -unstable deformed rotor O(6) in even-even Ru, Pd, and Xe isotopic chains are studied in framework of sd interacting boson model (IBM1) using the coherent state formalism to obtain the potential energy surfaces (PES’s). The location of critical points in the transition are identified by analysis the PES’s in terms of the deformation parameter $$beta$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>β</mml:mi> </mml:math> and by using the catastrophe theory in terms of the two essential parameters $$(r_1, r_2)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>r</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>r</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> . By using the most general IBM1 Hamiltonian in Casimir form with neglecting the U(5) and SU(3) quadratic Casimir operators and introducing only one control parameter the PES leads to the same energy surface as the Q-consistent IBM Hamiltonian at $$gamma =0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>γ</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> . For the studied isotopic chains, the $$chi ^2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>χ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -test is used to perform the fitting between the experimental and the corresponding calculated IBM for some selected energy levels and electric quadrupole transition probabilities B( E 2) values using a simulated search program. A good agreement is produced for both energies and B( E 2) transition rates. The present model calculations suggest that $$^{100}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow /> <mml:mn>100</mml:mn> </mml:msup> </mml:math> Ru, $$^{102}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow /> <mml:mn>102</mml:mn> </mml:msup> </mml:math> Pd and $$^{130}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow /> <mml:mn>130</mml:mn> </mml:msup> </mml:math> Xe nuclei are good candidates for the E(5) critical point symmetry." @default.
• W4386773612 created "2023-09-16" @default.
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• W4386773612 date "2023-09-15" @default.
• W4386773612 modified "2023-09-26" @default.
• W4386773612 title "Nuclear Shape-Phase Transition From Spherical U(5) to Deformed $$gamma$$-Unstable O(6) Dynamical Symmetries of Interacting Boson Model Applied to Ru, Pd, and Xe Isotopic Chains" @default.
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• W4386773612 doi "https://doi.org/10.1007/s13538-023-01357-y" @default.
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