To explore the rotational excitation of deformed halo nuclei, the angular momentum projection (AMP) has been implemented in the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), in which both the mean field and collective wave functions are expanded in terms of Dirac Woods-Saxon basis. The DRHBc + AMP approach self-consistently describes the coupling between single particle bound states and the continuum not only in the ground state but also in rotational states. The rotational modes of deformed halos in ^42,44Mg are investigated by studying properties of rotational states such as the excitation energy, configuration, and density distribution. Our study demonstrates that the deformed halo structure persists from the ground state in the intrinsic frame to collective states. Especially, the typical behavior of shape decoupling effects in rotating deformed halo nuclei is revealed.

为了探索变形晕核的旋转激发，角动量投影 (AMP) 已在连续体变形相对论 Hartree-Bogoliubov 理论 (DRHBc) 中实现，其中平均场和集体波函数均根据狄拉克展开伍兹-撒克逊基础。DRHBc + AMP 方法自洽地描述了单粒子束缚态与连续体之间的耦合，不仅在基态而且在旋转态。^42,44中变形光晕的旋转模式通过研究旋转状态的特性（例如激发能、配置和密度分布）来研究 Mg。我们的研究表明，变形的光晕结构从内在框架中的基态持续到集体状态。特别是，揭示了旋转变形晕核中形状解耦效应的典型行为。