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

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