Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei

Abstract

We extend multireference covariant density-functional theory (MR-CDFT) based on a relativistic point-coupling energy functional to describe the low-lying states of odd-mass nuclei. The nuclear wave function is constructed as a superposition of quadrupole-octupole deformed mean-field configurations, with projection onto angular momentum, particle numbers, and parity within the framework of the generator coordinate method. Using ${}^{25}$Mg as an example, we calculate the energy spectrum, electric multipole, and magnetic dipole transition strengths based on three different schemes for the mean-field configurations of odd-mass nuclei. We find that the low-energy structure of ${}^{25}$Mg is reasonably reproduced in all three schemes. In particular, the effect of octupole correlation is illustrated in the application to the low-lying parity doublets of ${}^{21}$Ne. This work demonstrates the success of the MR-CDFT for the low-lying states of odd-mass nuclei with possible strong quadruple-octupole correlations.

arXiv comment23 pages with 32 figures and 3 tables

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• Electromagnetic moments in the Sn-Gd region determined within nuclear DFT
• Subspace-projected multireference covariant density functional theory
• Benchmarking rotational correction energies in odd-mass nuclei
• Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional