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类铍体系基太以及低激发态能量的相对论修正 被引量:5

RELATIVISTIC CORRECTIONS TO THE NON-RELATIVISTIC ENERGIES OF THE BERYLLIUM-LIKE ATOMS
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摘要 利用不可约张量理论,导出了铍原子(含类铍离子)能量的相对论修正(其中包括相对论质量修正、达尔文修正、自旋-自旋接触相互作用)的解析表达式,以此为基础,对于类铍体系(Z=4-8)基态(1s)22s2s1S以及低激发态(1s)22s2p3P分别完成角向、径向积分以及自旋求和,具体计算了这两个态的总能量,计算结果与实验数据符合得较好. The relativistic corrections to the non-relativistic energies of the ground state and the lower excited states of beryllium-like atoms from Z=4 to 8 are calculated with the aid of irreducible tensor theory. Analytic expressions for the matrix elements of the relativistic Hamiltonians, such as mass correction term, one-and twobody Darwin interaction terms, spin-spin contact interaction term, are derived explicitly. Further more, all the angular intergrations, radial intergrations and spin sum are calculated. In the end, the relativistic corrections energies are obtained. The results are in good agreement with the experimental data.
出处 《安徽师范大学学报(自然科学版)》 CAS 2005年第3期281-285,共5页 Journal of Anhui Normal University(Natural Science)
基金 安徽省教育厅自然科学基金重点项目(2003KJ035ZD 2002HBL05) 安徽省省级重点学科<原子与分子物理>基金项目(2002ZDXK)
关键词 铍原子 激发态能量 相对论修正 beryllium atoms irreducible tensor relativistic corrections
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