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A symmetry for heavy nuclei: Proxy-SU(3)
Nuclear Theory · Submitted 19 Jun 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We introduce a new fermionic approximation, called the proxy-SU(3), and we comment on its similarities and differences with the other approaches.
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The abstract, sentence by sentence
The SU(3) symmetry realized by J. P. Elliott in the sd nuclear shell is destroyed in heavier shells by the strong spin-orbit interaction. However, the SU(3) symmetry has been used for the description of heavy nuclei in terms of bosons in the framework of the Interacting Boson Approximation, as well as in terms of fermions using the pseudo-SU(3) approximation. We introduce a new fermionic approximation, called the proxy-SU(3), and we comment on its similarities and differences with the other approaches.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The SU(3) symmetry realized by J. P. | background 1.00 | 0.04 | 0.03 | unclear 0.57 |
| s1 | Elliott in the sd nuclear shell is destroyed in heavier shells by the strong spin-orbit interaction. | background 0.97 | 0.04 | 0.04 | asserted 1.00 |
| s2 | However, the SU(3) symmetry has been used for the description of heavy nuclei in terms of bosons in the framework of the Interacting Boson Approximation, as well as in terms of fermions using the pseudo-SU(3) approximation. | background 1.00 | 0.04 | 0.05 | asserted 1.00 |
| s3 | We introduce a new fermionic approximation, called the proxy-SU(3), and we comment on its similarities and differences with the other approaches. | contribution 1.00 | 0.92 | 0.40 | asserted 0.97 |
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The paper
Original abstract
The SU(3) symmetry realized by J. P. Elliott in the sd nuclear shell is destroyed in heavier shells by the strong spin-orbit interaction. However, the SU(3) symmetry has been used for the description of heavy nuclei in terms of bosons in the framework of the Interacting Boson Approximation, as well as in terms of fermions using the pseudo-SU(3) approximation. We introduce a new fermionic approximation, called the proxy-SU(3), and we comment on its similarities and differences with the other approaches.
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How the literature uses it
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Papers citing it
Cites it as background 1 paper
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In 2017, a new approximate manifestation of the SU(3) symmetry in the nuclear shell model, called the proxy-SU(3) symmetry, has been introduced [ref] and presented at the HINPw4 workshop in Ioannina [ref] .
Seven years of the proxy-SU(3) shell model symmetry · Introduction · 0.90
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