Proxy-SU(3) symmetry in the shell model basis

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

doi:10.1140/epja/s10050-020-00239-0

Cited by 37 publications

(106 citation statements)

References 47 publications

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“…As one can see in Tables 4 and 5, the correspondence used in proxy-SU(3) works only for the Nilsson orbitals which possess the highest total angular momentum j within their shell, which are exactly the orbitals which are replaced within the proxy-SU(3) scheme. In further corroboration of this result, a unitary transformation connecting the orbitals being replaced within the proxy-SU(3) scheme has been found [83] within the shell model basis and is depicted in Fig. 1.…”

Section: Connecting the Cartesian Elliott Basis To The Spherical Shell Model Basissupporting

confidence: 66%

“…the details of which can be found in Ref. [83]. Using Clebsch-Gordan coefficients the spherical basis can be Table 2.…”

Section: Connecting the Cartesian Elliott Basis To The Spherical Shell Model Basismentioning

confidence: 99%

“…Adapted from Ref. [83]. Λ] in the shell model basis |Nl jm j for three different values of the deformation .…”

Section: Connecting the Cartesian Elliott Basis To The Spherical Shell Model Basismentioning

confidence: 99%

“…The pairs on the left part of the table contribute in the beginning of the relevant shell, while the pairs on the right become important further within the shell. Adapted from Ref [83]…”

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confidence: 99%

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

et al. 2021

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Proxy-SU(3) symmetry is an approximation scheme extending the Elliott SU(3) algebra of the sd shell to heavier shells. When introduced in 2017, the approximation had been justified by calculations carried out within the Nilsson model. Recently our group managed to map the cartesian basis of the Elliott SU(3) model onto the spherical shell model basis, proving that the proxy-SU(3) approximation corresponds to the replacement of the intruder orbitals by their de Shalit-Goldhaber partners, paving the way for using the proxy-SU(3) approximation in shell model calculations. The connection between the proxy-SU(3) scheme and the spherical shell model has also been worked out in the original framework of the Nilsson model, with identical results.

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Section: Connecting the Cartesian Elliott Basis To The Spherical Shell Model Basissupporting

confidence: 66%

“…the details of which can be found in Ref. [83]. Using Clebsch-Gordan coefficients the spherical basis can be Table 2.…”

Section: Connecting the Cartesian Elliott Basis To The Spherical Shell Model Basismentioning

confidence: 99%

“…Adapted from Ref. [83]. Λ] in the shell model basis |Nl jm j for three different values of the deformation .…”

Section: Connecting the Cartesian Elliott Basis To The Spherical Shell Model Basismentioning

confidence: 99%

“…The pairs on the left part of the table contribute in the beginning of the relevant shell, while the pairs on the right become important further within the shell. Adapted from Ref [83]…”

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confidence: 99%

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

et al. 2021

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“…[15]). The mechanism is realized within the Elliott [20][21][22][23] and the proxy-S U(3) [24][25][26][27][28] symmetry. Deformed nuclei are adequately described by the Shell Model S U(3) symmetry, or nowadays called the Elliott S U(3) symmetry [20][21][22][23], which is appropriate for the harmonic oscillator shells, along with its extension, the proxy-S U(3) symmetry [24][25][26][27][28], which suits to the spin-orbit like shells.…”

Section: Introductionmentioning

confidence: 99%

A mechanism for shape coexistence

Martinou

2021

EPJ Web Conf.

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The phenomenon of shape coexistence in a nucleus is about the occurence of two different nuclear states with drastically different shapes, lying close in energy. It is commonly seen in the data, that such coexisting states manifest in specific nuclei, which lie within certain islands on the nuclear chart, the islands of shape coexistence. A recently introduced mechanism predicts that these islands derive from the coexistence of two different types of magic numbers: the harmonic oscillator and the spin-orbit like. The algebraic realization of the nuclear Shell Model, the Elliott SU(3) symmetry, along with its extension, the proxy-SU(3) symmetry , are used for the parameter-free theoretical predictions of the islands of shape coexistence

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Ground state deformation comparison between covariant density functional theory and proxy-SU(3) model in transitional nuclei

Alstaty

Abusara

2022

Nuclear Physics A

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Proxy-SU(3) symmetry in the shell model basis

Cited by 37 publications

References 47 publications

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

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

A mechanism for shape coexistence

Ground state deformation comparison between covariant density functional theory and proxy-SU(3) model in transitional nuclei

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