Cranking covariant density functional theory with a shell-model-like approach for the superdeformed band of $^{42}$Ca - INSPIRE

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Cranking covariant density functional theory with a shell-model-like approach for the superdeformed band of $^{42}$ Ca

Lang Liu

Jul 7, 2021

17 pages

Published in:

Int.J.Mod.Phys.E 30 (2021) 07, 2150055

Published: Jul 7, 2021

DOI:

10.1142/S0218301321500555

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Nuclear Science References

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Abstract: (WSP)

The superdeformed rotational band in 42Ca is studied with the cranking covariant density functional theory complemented by a shell-model-like approach for treating the pairing correlations. The microscopic and self-consistent description of the superdeformed rotational band is obtained. The calculated energy surfaces show local minimums at (β,γ) = (0.45, 20∘) from rotational frequency ℏω 0 to 1.5MeV. The shape coexistence of spherical, normal deformation and superdeformation is found at ℏω = 1.5MeV. The single-particle levels and configurations are analyzed in details with the deformation. The configuration of the superdeformed band is figured out as (ν1f7/241d 3/2−2)⊗(π1f 7/221d 3/2−2). The single-particle Routhians indicate that the neutrons configuration plays a key role in the formation of the superdeformed band, and the change of the protons configuration at ℏω = 2.0MeV terminates the superdeformed band. The importance of pairing correlation to the superdeformed band is also studied in terms of the moments of inertia and the angular momentum.

Nuclear density functional theory
superdeformed rotational band
shell-model-like approach
21.60.Jz
21.60.Cs
21.10.Gv
21.10.−k

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