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arxiv: 0903.5027 · v2 · submitted 2009-03-29 · ⚛️ nucl-th

Three-dimensional angular momentum projection in relativistic mean-field theory

classification ⚛️ nucl-th
keywords angulareffectivemomentummean-fieldmethodprojectionrelativisticstates
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Based on a relativistic mean-field theory with an effective point coupling between the nucleons, three-dimensional angular momentum projection is implemented for the first time to project out states with designed angular momentum from deformed intrinsic states generated by triaxial quadrupole constraints. The same effective parameter set PC-F1 of the effective interaction is used for deriving the mean field and the collective Hamiltonian. Pairing correlations are taken into account by the BCS method using both monopole forces and zero range d-forces with strength parameters adjusted to experimental even-odd mass differences. The method is applied successfully to the isotopes 24Mg, 30Mg, and 32Mg.

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  1. Multireference covariant density functional theory for shape coexistence and isomerism in $^{43}$S

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    MR-CDFT calculations for 43S identify the ground state as dominated by a prolate intruder 1qp configuration, the 7/2-1 as a high-K prolate isomer, and the 3/2-2 as an oblate-prolate admixture.