Skyrme random-phase-approximation description of lowest Kπ= 2γ+ states in axially deformed nuclei

Nesterenko VO, Kartavenko VG, Kleinig W, Kvasil J, Repko A, Jolos RV, Reinhard PG (2016)


Publication Type: Journal article

Publication year: 2016

Journal

Book Volume: 93

Article Number: 034301

Journal Issue: 3

DOI: 10.1103/PhysRevC.93.034301

Abstract

The lowest quadrupole γ-vibrational Kπ=2+ states in axially deformed rare-earth (Nd, Sm, Gd, Dy, Er, Yb, Hf, W) and actinide (U) nuclei are systematically investigated within the separable random-phase-approximation (SRPA) based on the Skyrme functional. The energies Eγ and reduced transition probabilities B(E2) of 2γ+ states are calculated with the Skyrme forces SV-bas and SkM∗. The energies of two-quasiparticle configurations forming the SRPA basis are corrected by using the pairing blocking effect. This results in a systematic downshift of Eγ by 0.3-0.5 MeV and thus in a better agreement with the experiment, especially in Sm, Gd, Dy, Hf, and W regions. For other isotopic chains, a noticeable overestimation of Eγ and too weak collectivity of 2γ+ states still persist. It is shown that domains of nuclei with low and high 2γ+ collectivity are related to the structure of the lowest two-quasiparticle states and conservation of the Nilsson selection rules. The description of 2γ+ states with SV-bas and SkM∗ is similar in light rare-earth nuclei but deviates in heavier nuclei. However SV-bas much better reproduces the quadrupole deformation and energy of the isoscalar giant quadrupole resonance. The accuracy of SRPA is justified by comparison with exact RPA. The calculations suggest that a further development of the self-consistent calculation schemes is needed for a systematic satisfactory description of the 2γ+ states.

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APA:

Nesterenko, V.O., Kartavenko, V.G., Kleinig, W., Kvasil, J., Repko, A., Jolos, R.V., & Reinhard, P.-G. (2016). Skyrme random-phase-approximation description of lowest Kπ= 2γ+ states in axially deformed nuclei. Physical Review C - Nuclear Physics, 93(3). https://doi.org/10.1103/PhysRevC.93.034301

MLA:

Nesterenko, V. O., et al. "Skyrme random-phase-approximation description of lowest Kπ= 2γ+ states in axially deformed nuclei." Physical Review C - Nuclear Physics 93.3 (2016).

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