Combining the Lipkin-Nogami (LN) method with the deformed relativistic Hartree-Bogoliubov theory in continuum, the impact of the LN correction on the deformed halo nucleus ${}^{42}\mathrm{Mg}$ is investigated. With the LN correction, it is found that the halo structure of ${}^{42}\mathrm{Mg}$ persists, and the decoupling of its prolate core and oblate halo is significantly enhanced. This enhancement is analyzed in terms of the contributions of the single-neutron levels to the halo deformation.

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• Nuclear structure & decays
• 39 ≤ A ≤ 58
• Density functional theory