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钠原子主线系精细结构的多体微扰计算
引用本文:陈笋,朱云霞,葛自明,贺黎明.钠原子主线系精细结构的多体微扰计算[J].物理学报,2012,61(15):153104-153104.
作者姓名:陈笋  朱云霞  葛自明  贺黎明
作者单位:华东理工大学物理系,上海,200237
摘    要:在相对论的框架下采用多体微扰理论(MBPT)方法计算了纳原子 np(n=3—9)态的能级精细结构分裂值. 为避免多体微扰计算中需要计算大量连续态的困扰, 通过引入外势的方法可以构建离散、有限和近似完备的数值基函数. 经求解相对论Hartree-Fock (RHF)方程及外势作用下的RHF方程可获得零级近似波函数和能级值. 为了使微扰展开能够收敛, 计算中用到了轨道角量子数l≤ 6的在一定能量分布范围内的中间态, 其中以在外势作用下的收缩态为主. 依此方法计算了纳原子主线系系列能级二阶微扰修正值, 同时还考虑了Breit效应的一级微扰修正对精细结构的影响. 通过与其他理论计算结果比较可看出, 本文计算结果在较大程度上更接近于实验值.

关 键 词:主线系  精细结构  多体微扰理论(MBPT)  Breit效应
收稿时间:2011-09-27

MBPT calculation for the fine-structure intervals of principal series np(n=3-9) for Na
Chen Sun,Zhu Yun-Xia,Ge Zi-Ming,He Li-Ming.MBPT calculation for the fine-structure intervals of principal series np(n=3-9) for Na[J].Acta Physica Sinica,2012,61(15):153104-153104.
Authors:Chen Sun  Zhu Yun-Xia  Ge Zi-Ming  He Li-Ming
Institution:Department of Physics, East China University of Science and Technology, Shanghai 200237, China
Abstract:The fine-structure intervals of Na principal series np(n = 3—9) are calculated by the many-body perturbation theory(MBPT) within the framework of relativity.To deal with the problem that a large set of continuum states is required in the MBPT calculation, an exponential potential is employed to generate a discrete,finite and nearly complete set of numerical basis functions.The zerothorder wavefunctions and eignvalues are obtained by solving the relativistic Hartree-Fock(RHF) equation and the RHF equation with the action of a potential barrier.The basis set used in this work contains intermediate orbitals with the angular momentum l≤6 and in an appropriate energy range,and most of them are the so called "contracted" orbitals.Encouraging results are obtained using this technique to calculate the second-order correlation corrections,combining the Breit effects in a first-order perturbation approach. Compared with other theoretical calculations,the present results are much close to the experimental results.
Keywords:principal series  fine structure  many-body perturbation theory (MBPT)  Breit effect
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