锂和铍离子的高精度原子理论：量子电动力学频移和同位素频移。

High precision atomic theory for Li and Be+: QED shifts and isotope shifts.

作者信息

Yan Z-C, Nörtershäuser W, Drake G W F

机构信息

Department of Physics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3.

出版信息

Phys Rev Lett. 2008 Jun 20;100(24):243002. doi: 10.1103/PhysRevLett.100.243002. Epub 2008 Jun 18.

DOI:10.1103/PhysRevLett.100.243002

PMID:18643580

Abstract

High-precision results are presented for calculations of the nonrelativistic energies, relativistic corrections, and quantum electrodynamic corrections for the 2 2S, 2 2P, and 3 2S states of Li and Be+, using nonrelativistic wave functions expressed in Hylleraas coordinates. Bethe logarithms are obtained for the states of Be+. Finite mass corrections are calculated with sufficient accuracy to extract the nuclear charge radius from measurements of the isotope shift for the 2 2S-2 2P and 2 2S-3 2S transitions. The calculated ionization potential for Be+ is 146 882.923+/-0.005 cm{-1}.

摘要

利用用海勒拉斯坐标表示的非相对论波函数，给出了锂和Be⁺的2²S、2²P和3²S态的非相对论能量、相对论修正和量子电动力学修正计算的高精度结果。得到了Be⁺态的贝特对数。计算有限质量修正的精度足以从2²S - 2²P和2²S - 3²S跃迁的同位素位移测量中提取核电荷半径。计算得到的Be⁺的电离势为146882.923±0.005 cm⁻¹。