1 $sup 1$S, 2 $sup 1$S, AND 2 $sup 3$S STATES OF H$sup -$ AND OF He
1 $sup 1$S, 2 $sup 1$S, AND 2 $sup 3$S STATES OF H$sup -$ AND OF He
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DOI：
10.1103/physrev.126.1470
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发表时间：
1962-05
期刊：
影响因子：
--
通讯作者：
C. Pekeris
中科院分区：
文献类型：
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作者：
C. Pekeris
用n= 444阶的行列式计算了负氢离子1s1态的电离能J，包括质量极化和相对论修正，但不包括Lamb位移修正。我们得到J (444)= 6083.0943 cm−1，通过外推，J(∞)= 6083.0958 cm−1。对H−的束缚态2s1和2s3的搜索得到了否定的结果。以氦为例，在n= 1078处，1s态的非相对论性能量特征值ν的上界被计算为ν+= 198317.866 cm−1，而先前确定的下界为ν−(1078)= 198317.374 cm−1。对于2s态，这个缺口在n= 715时已经完全闭合，ν+(715)= 38453.1299 cm−1,ν - (715)= 38453.1292 cm−1。在n= 1078， J= 38454.827375 cm−1时，原子核D(0)处的电子电荷密度为33.18414092，与之前的外推值一致。这证实了White、Chow、Drake和Hughes建立的He 3的2s3态超精细结构的理论与实验之间存在1 / 105的差异。根据Suh和Zaidi的Lamb位移值-0.109±0.009 cm−1，得到的2s态电离能为38454.718±0.009 cm−1，而Herzberg的实验值为38454.73±0.05 cm−1。对于2s1态，我们得到J (615)= 32033.318 cm−1，由Suh和Zaidi计算得到的兰姆位移为0.104±0.014 cm−1，电离能为32033.214±0.014 cm−1。根据赫茨伯格的理论，实验值等于32033.26±0.03 cm−1，最坏的情况是±0.05 cm−1。总结了迄今为止双电子原子兰姆位移的验证。
The ionization energy J, including mass-polarization and relativistic corrections but not the Lamb shift correction, was evaluated for the 1 S 1 state of the negative-hydrogen ion using determinants up to order n= 444. We get J (444)= 6083.0943 cm− 1, and, by extrapolation, J (∞)= 6083.0958 cm− 1. A search for bound states 2 S 1 and 2 S 3 of H− led to negative results. In the case of helium, an upper bound to the nonrelativistic energy eigenvalue ν for the 1 S 1 state was evaluated at n= 1078 to be ν+= 198317.866 cm− 1, as against the previously determined lower bound of ν−(1078)= 198317.374 cm− 1. For the 2 S 3 state this gap is already completely closed at n= 715, with ν+(715)= 38453.1299 cm− 1 and ν−(715)= 38453.1292 cm− 1. At n= 1078, J= 38454.827375 cm− 1, and the electron charge density at the nucleus D (0) comes out 33.18414092, in agreement with previously extrapolated values. This substantiates a disagreement of the order of one part in 10 5 between theory and experiment in the hyperfine structure of the 2 S 3 state of He 3 which was established by White, Chow, Drake, and Hughes. With Suh and Zaidi's value for the Lamb shift of-0.109±0.009 cm− 1, the ionization energy of the 2 S 3 state comes out 38454.718±0.009 cm− 1, as against Herzberg's experimental value of 38454.73±0.05 cm− 1. For the 2 S 1 state we get J (615)= 32033.318 cm− 1, which with a Lamb shift of-0.104±0.014 cm− 1 evaluated by Suh and Zaidi, leads to an ionization energy of 32033.214±0.014 cm− 1. The experimental value is, according Herzberg, equal to 32033.26±0.03 cm− 1 or, at worst,±0.05 cm− 1. A summary is given of the verification to date of the Lamb shift in two-electron atoms.