The method of Pyatov, proposed for the exclusion of the spurious states associated with the spontaneous symmetry breaking due to the mean field approximation, is applied to restore broken translation and Galilean invariance of the Quasiparticle Phonon Nuclear Model (QPNM) Hamiltonian of deformed odd-mass nuclei for the first time. The point of the formulated translation and Galilean invariant (TGI-) QPNM is to study electric dipole (E1) response of odd-mass deformed nuclei. The proposed TGI-QPNM is tested by the calculations for fine and gross features of E1 resonance in ¹⁶⁵Ho, ¹⁶⁹Tm, and ²³⁵U in a wide range of excitation energy from 2 to 20 MeV. Predictions of the TGI-QPNM are shown to be in good agreement with the corresponding experimental data.

提出了Pyatov方法，该方法用于排除由于平均场近似而导致的自发对称破坏相关的杂散状态，该方法用于恢复变形奇数质量的准粒子声子核模型（QPNM）哈密顿量的破碎平移和伽利略不变性。原子核是第一次。公式化翻译和伽利略不变（TGI-）QPNM的目的是研究奇质量形变核的电偶极（E 1）响应。通过计算¹⁶⁵ Ho，¹⁶⁹ Tm和²³⁵ E 1共振的精细特征和总体特征，对提出的TGI-QPNM进行了测试。U在2到20 MeV的宽激发能量范围内。TGI-QPNM的预测与相应的实验数据非常吻合。