Connecting the proxy-SU(3) symmetry to the shell model

Bonatsos, Dennis; Martinou, Andriana; Assimakis, I. E.; Peroulis, S.; Sarantopoulou, S.; Minkov, N.

doi:10.1051/epjconf/202125202004

Cited by 5 publications

(6 citation statements)

References 67 publications

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“…Then in Section IV the regions N = 90, Z = 64 and N = 60, Z = 40 are considered, demonstrating that particle-hole excitations can also be proposed as a possible mechanism behind shape coexistence there, with the important difference that the particle-hole excitations take place across neutron magic numbers of the 3D-HO, thus involving pairs of nucleons of opposite parity. It should be remembered that proton-neutron pairs of opposite parity have been known to play a major role in the onset and development of nuclear deformation [19][20][21][33][34][35][36]. A preliminary account of some of the present results has been given in [37].…”

Section: Introductionmentioning

confidence: 72%

Islands of shape coexistence from single-particle spectra in covariant density functional theory

et al. 2022

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Shape coexistence in even-even nuclei is observed when the ground state band of a nucleus is accompanied by another K=0 band at similar energy but with radically different structure. We attempt to predict regions of shape coexistence throughout the nuclear chart using the parameter-free proxy-SU(3) symmetry and standard covariant density functional theory. Within the proxy-SU(3) symmetry the interplay of shell model magic numbers, formed by the spin-orbit interaction, and the 3-dimensional isotropic harmonic oscillator magic numbers, leads to the prediction of specific horizontal and vertical stripes on the nuclear chart in which shape coexistence should be possible. Within covariant density functional theory, specific islands on the nuclear chart are found, in which particle-hole excitations leading to shape coexistence are observed. The role played by particle-hole excitations across magic numbers as well as the collapse of magic numbers as deformation sets in is clarified.

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Section: Introductionmentioning

confidence: 72%

Islands of shape coexistence from single-particle spectra in covariant density functional theory

et al. 2022

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“…Alternatively, it was debated if the increased population of the ν1g 7/2 at N = 60 can be due to the promotion of the particles from the extruder neutron ν1g 9/2 orbital (across the N = 50 gap); see [34] and the references therein. This relates also to the possibility of the mapping between the proxy-SU3 approximation to the spherical shell model basis, which results in replacing the intruders of opposite parity by their de Shalit-Goldhaber partners, i.e., the 1h 11/2 orbital by the 1g 9/2 orbital in the present case; see [35,36].…”

Section: Collectivity In the Sr Chain Towards N = 60mentioning

confidence: 92%

Single-Particle and Collective Structures in Neutron-Rich Sr Isotopes

Sieja

2021

Universe

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Neutron-rich Sr nuclei around N=60 exhibit a sudden shape transition from a spherical ground state to strongly prolate-deformed. Recently, much new insight into the structure of Sr isotopes in this region has been gained through experimental studies of the excited levels, transition strengths, and spectroscopic factors. In this work, a “classic” shell model description of strontium isotopes from N=50 to N=58 is provided, using a natural valence space outside the 78Ni core. Both even–even and even–odd isotopes are addressed. In particular, spectroscopic factors are computed to shed more light on the structure of low-energy excitations and their evolution along the Sr chain. The origin of deformation at N=60 is mentioned in the context of the present and previous shell model and Monte Carlo shell model calculations.

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“…The use of the SU(3) symmetry in the nuclear structure was reviewed in 2020 by Kota [86]. A historical account similar to the present section was given by some of the present authors in Reference [87].…”

Section: Su(3) Symmetry In Nuclear Structurementioning

confidence: 79%

“…However, before describing the proxy-SU(3) symmetry itself, we will briefly review the physical motivation behind its introduction. A review similar to the next section was given by some of the present authors in Reference [87].…”

Section: Su(3) Symmetry In Nuclear Structurementioning

confidence: 82%

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The Proxy-SU(3) Symmetry in Atomic Nuclei

et al. 2023

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The microscopic origins and the current predictions of the proxy-SU(3) symmetry model of atomic nuclei were reviewed. Beginning with experimental evidence for the special roles played by nucleon pairs with maximal spatial overlap, the proxy-SU(3) approximation scheme is introduced; its validity is demonstrated through Nilsson model calculations and its connection to the spherical shell model. The major role played by the highest weight-irreducible representations of SU(3) in shaping up the nuclear properties is pointed out, resulting in parameter-free predictions of the collective variables β and γ for even–even nuclei in the explanation of the dominance of prolate over oblate shapes in the ground states of even–even nuclei, in the prediction of a shape/phase transition from prolate to oblate shapes below closed shells, and in the prediction of specific islands on the nuclear chart in which shape coexistence is confined. Further developments within the proxy-SU(3) scheme are outlined.

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Connecting the proxy-SU(3) symmetry to the shell model

Cited by 5 publications

References 67 publications

Islands of shape coexistence from single-particle spectra in covariant density functional theory

Islands of shape coexistence from single-particle spectra in covariant density functional theory

Single-Particle and Collective Structures in Neutron-Rich Sr Isotopes

The Proxy-SU(3) Symmetry in Atomic Nuclei

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