E2 rotational invariants of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo></mml:mrow></mml:msubsup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" l

Gray, Tom J.; Allmond, J. M.; Janssens, R. V. F.; Körten, W.; Stuchbery, A. E.; Wood, John L.; Ayangeakaa, A. D.; Bottoni, S.; Bucher, B.; Campbell, C. M.; Carpenter, M. P.; Crawford, H. L.; David, H. M.; Doherty, D. T.; Fallon, P.; Febbraro, M. T.; Galindo-Uribarri, A.; Gross, C. J.; Komorowska, M.; Kondev, F. G.; Lauritsen, T.; Macchiavelli, A. O.; Napiorkowsi, P.; Padilla‐Rodal, E.; Pain, S. D.; Reviol, W.; Sarantites, D. G.; Savard, G.; Seweryniak, D.; Wu, C. Y.; Yu, C. -H.; Zhu, S.

doi:10.1016/j.physletb.2022.137446

Cited by 5 publications

(12 citation statements)

References 42 publications

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“…We note that, due to the Pauli principle, only the irreducible representations with are retained in the table. If we assume a pure structure and use the following expression [76]: Cd with experiment and predictions of the "jj45" shell-model (extracted from [21]) and the SCCM approach (extracted from [20]). Values of the model parameters (in MeV) are: , , , and .…”

Section: Applicationmentioning

confidence: 99%

“…The results for the low-lying excitation energies of the ground, γ and β bands in Cd are shown in Fig. 1, where they are compared with experiment [85] and the predictions of the "jj45" shell-model (extracted from [21]) and the SCCM approach (extracted from [20]). The values of the model parameters are obtained by fitting procedure to the energies and value.…”

Section: S P(6 R)mentioning

confidence: 99%

“…2 shows the results for the intraband transition probabilities between the collective states of the ground band in Cd compared with experiment [21,85], the SCCM approach (SCCM) and the "jj45" shell-model calculations as obtained from Refs. [20] and [21], respectively. As shown in the figure, we observe a typical…”

Section: S P(6 R)mentioning

confidence: 99%

“…The question remained whether the lighter Cd isotopes may still represent examples of near-harmonic quadrupole vibrators. Recently, the structure of neutron-deficient even-even Cd isotopes was investigated [20] via precise lifetime measurements together with the state-of-the-art beyond-mean-field calculations using the symmetry conserving configuration-mixing (SCCM) approach. Except for the nuclei closed to the neutron shell closures, the SCCM calculations for Cd predict a well-defined prolate minimum with quadrupole deformation .…”

Section: Introductionmentioning

confidence: 99%

“…Assuming an axially symmetric rotor model, the deduced average quadrupole deformations are and for Cd and Cd, respectively. For Cd, the quadrupole deformation was obtained [20] using the "quadrupole sum rules" method. Additionally, for the axial asymmetry parameter, a value of was obtained, the latter indicating the important role of the γ degrees of freedom in this nucleus.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Proton-neutron symplectic model description of ¹⁰⁶Cd

Ganev

2024

Chinese Phys. C

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Microscopic shell-model description of the low-lying collectivestates in the weakly deformed nucleus $^{106}$Cd within the recentlyproposed microscopic version of the Bohr-Mottelson model is given. Agood description of the excitation energies of the lowest ground,$\gamma$, and $\beta$ quasibands is obtainedwithout the involvement of adjustable kinetic energy term. The$\gamma$ degrees of freedom are shown to play a crucial role in thedescription of spectroscopy of this nucleus. A modified $SU(3)$preserving high-order interaction is used to produce a$\gamma$-unstable type of the odd-even staggering, observedexperimentally between the states of the quasi-$\gamma$ band. Thepresent approach allows to describe the observedintraband and interband quadrupole collectivity. The resultsobtained in present work suggest a different interpretation of thefundamental question concerning the nature of low-energy vibrationsand the emergence of deformation and collectivity in the weakly deformed atomic nuclei.

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Section: Applicationmentioning

confidence: 99%