Zr isotopes as a region of intertwined quantum phase transitions

Gavrielov, N.; Leviatan, A.; Iachello, F.

doi:10.1103/physrevc.105.014305

Cited by 25 publications

(79 citation statements)

References 81 publications

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“…Such differences are useful, e.g. for identifying quantum phase transitions in nuclear shapes [73,74]. Our results in table 4 are up to 60 times more accurate than those obtained with a CKP method [71].…”

Section: Improved Charge Radiimentioning

confidence: 58%

Isotope shifts in cadmium as a sensitive probe for physics beyond the standard model

et al. 2022

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Isotope shifts (ISs) of atomic energy levels are sensitive probes of nuclear structure and new physics beyond the Standard Model. We present an analysis of the ISs of the cadmium atom (Cd I) and singly charged cadmium ion (Cd II). ISs of the 229 nm, 326 nm, 361 nm and 480 nm lines of Cd I are measured with a variety of techniques; buffer-gas-cooled beam spectroscopy, capturing atoms in a magneto-optic-trap, and optical pumping. IS constants for the D$_1$ and D$_2$ lines of Cd II are calculated with high accuracy by employing analytical response relativistic coupled-cluster theory in the singles, doubles and triples approximations. Combining the calculations for Cd II with experiments, we infer IS constants for all low-lying transitions in Cd I. We benchmark existing calculations via different many-body methods against these constants. Our calculations for Cd II enable nuclear charge radii of Cd isotopes to be extracted with unprecedented accuracy. The combination of our precise calculations and measurements shows that King Plots for Cd~I can improve the state-of-the-art sensitivity to a new heavy boson by up to two orders of magnitude.

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Section: Improved Charge Radiimentioning

confidence: 58%

Isotope shifts in cadmium as a sensitive probe for physics beyond the standard model

et al. 2022

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“…where H.c. stands for Hermitian conjugate. The parameters, obtained from a fit, are given in Table V of [12].…”

Section: Hamiltonian and Energy Surfacementioning

confidence: 99%

“…For the energy surface matrix (9), we calculate the expectation values of the Hamiltonians ĤA (11a) and ĤB (11b), in the intrinsic state Section 2.4, with N and N+2 bosons respectively, and a non-diagonal matrix element of the mixing term Ŵ (12) between them. The explicit expressions can be found in [12].…”

Section: Hamiltonian and Energy Surfacementioning

confidence: 99%

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Zr isotopes as a case study for intertwined quantum phase transitions

Gavrielov

2023

J. Phys.: Conf. Ser.

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The scenario of intertwined quantum phase transitions (IQPTs) is identified in the Zr isotopes with neutron numbers 52–70, and shown to involve both a crossing of normal and intruder configurations and a shape-evolution within each configuration. Using the framework of the interacting boson model with configuration mixing, this situation is demonstrated by a quantum analysis of the spectra, E2 transition rates, order parameters, symmetry and configuration content of the wave functions and a classical analysis of energy surfaces.

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“…On the other hand, the decay of the 8 + isomeric state is also important if we are to understand the structure of the daughter nucleus, 96 Zr, which lies in a region of shape transition [28] and emergence of shape-coexisting states and intertwined quantum phase transitions [29]. In the β decay of 96m Y moderately high-spin levels are expected to be accessed, in contrast with the decay of the ground state that mainly populates low-spin levels.…”

Section: Introductionmentioning

confidence: 99%