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Double shape quantum phase transitions in the SU3-IBM: new $\gamma$-soft phase and the shape phase transition from the new $\gamma$-soft phase to the prolate shape

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arxiv 2504.06571 v2 pith:XDFON647 submitted 2025-04-09 nucl-th nucl-ex

classification nucl-thnucl-ex
keywords phaseshapegammasofttransitionfoundprolatequantum
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abstract

Shape quantum phase transition is an important topic in nuclear structure. In this paper, we begin to study the shape quantum phase transition in the SU3-IBM. In this new proposed model, spherical-like spectra was found to resolve the spherical nucleus puzzle, which is a new $\gamma$-soft rotational mode. In this paper, the shape phase transition along the new $\gamma$-soft line is first discussed, and then the neighbouring case at the prolate side is also studied. We find that double shape phase transitions occur along a single parameter path. The new $\gamma$-softness is really a shape phase and the shape phase transition from the new $\gamma$-soft phase to the prolate shape is found. The experimental support is also found and $^{108}$Pd may be the critical nucleus.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Typical new spherical-like $\gamma$-soft spectra in $^{104,106,108}$Pd

    nucl-th 2025-01 reject novelty 5.0 of 10

    The author fits an interacting boson model with many parameters to low-lying data for 106Pd and concludes it confirms a new gamma-soft mode, but the evidence is mostly fitting, not prediction.

  2. SU(3) rigid triaxiality in $^{154}$Sm

    nucl-th 2025-09 conditional novelty 4.0 of 10

    Applying the SU3-IBM with ground-state irrep (18,2) to 154Sm reproduces many energy levels, B(E2) values, and quadrupole moments, but with significant deviations in key transitions and a γ angle outside the experiment...

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