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Single-Particle Spectroscopic Factors for Spherical Nuclei

机译:球形核的单粒子光谱因子

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Within the self-consistent theory of finite Fermi systems, the total single-particle spectroscopic factors for seven doubly magic nuclei of Ca-40, Ca-48, Ni-56, Ni-78, Sn-100, Sn-132, and Pb-208 and for the Pb188-212 chain of semimagic even lead isotopes are calculated by the energy-density-functional method implemented with a functional in the form proposed by Fayans and his coauthors. The spectroscopic factor is expressed in terms of the Z factor, which is the residue of the single-particle Green's function at the single-particle pole. The total Z factor calculated in the present study involves both effects of coupling to phonons and the volume Z factor, which is due to the fact that the mass operator features an energy dependence not associated with surface phonons. The volume Z factor is on the same order of magnitude as the phonon-coupling contribution. The volume effect depends only slightly on the nuclear species and on the single-particle state lambda. On the contrary, the phonon contribution to the total spectroscopic factor changes upon going over from one state to another and from one nuclear species to another.
机译:在有限费米系统的自洽理论中,Ca-40,Ca-48,Ni-56,Ni-78,Sn-100,Sn-132和Pb的七个双魔核的总单粒子光谱因子-208和半铅的Pb188-212链是通过能量密度泛函方法计算的,该方法以Fayans及其合作者提出的形式实现。光谱因子用Z因子表示,Z因子是在单粒子极点上单粒子格林函数的残基。在本研究中计算出的总Z因子既涉及耦合到声子,又涉及体积Z因子,这是由于质量算子具有与表面声子无关的能量依赖性这一事实。体积Z因数与声子耦合贡献在数量级上相同。体积效应仅略微取决于核物种和单粒子态λ。相反,声子对总光谱因子的贡献在从一种状态转移到另一种状态以及从一种核种转移到另一种核种时发生变化。

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