Symmetry conserving configuration mixing method with cranked states

Abstract

We present the first calculations of a symmetry conserving configuration mixing method (SCCM) using time-reversal symmetry breaking Hartree-Fock-Bogoliubov (HFB) states with the Gogny D1S interaction. The method includes particle number and tridimensional angular momentum symmetry restorations as well as configuration mixing within the generator coordinate method (GCM) framework. The nucleus ${}^{32}$Mg is chosen to show the performance and reliability of the calculations. Additionally, $0_1^{+}$, $2_1^{+}$ and $4_1^{+}$ states are computed for the magnesium isotopic chain, where a noticeable compression of the spectrum is obtained by including cranked states, leading to a very good agreement with the known experimental data.

7 pages, 5 figures, accepted in Physics Letters B

References in corpus (7)

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Cited by in corpus (7)

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• Anharmonicity of multi-octupole-phonon excitations in ${}^{208}$Pb: analysis with multi-reference covariant density functional theory and subbarrier fusion of ${}^{16}$O+${}^{208}$Pb
• Generator coordinate method with a conjugate momentum: application to the particle number projection
• Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in ${}^{152}$Dy and ${}^{194}$Hg
• On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes