标题： 伪自旋对称性及其应用 显示英文标题

标题： Pseudo-Spin Symmetry and its Applications

摘要： 伪自旋对称性被回顾。 讨论了一个将总角动量分解为伪轨道和伪自旋自由度的映射，同时讨论了从正常宇称空间到具有少一个量子的伪振子本征态的解析变换。 建立了到伪SU(3)空间的单位变换的多粒子版本。 作为示例，这些对称性被用来描述重变形核中的双β衰变现象。 显示英文摘要

摘要： The pseudo-spin symmetry is reviewed. A mapping that produces the separation of the total angular momentum into pseudo-orbital and pseudo-spin degrees of freedom is discussed, together with the analytic transformations that take us from the normal parity space to the eigenstates of a pseudo-oscillator with one quanta less. The many-particle version of the unitary transformation to the pseudo-SU(3) space is established. As an example, these symmetries are used to describe the double beta decay phenomenon in heavy deformed nuclei.