Order alpha(6)mc(2) contributions to the fine structure splittings of helium and helium-like ions.

Abstract

In this thesis, the Douglas and Kroll order \alpha\sp6mc\sp2 contributions to the 1s2p\sp3P\sb{J} fine structure splittings of helium are evaluated using the new variational wave functions of Drake (2). Our results improve the old calculation of Daley et al. (13) by several orders of magnitude. Extensions are made to two-electron ions in arbitrary angular momentum states. The other triplet states calculated are Z = 2, 1snp \sp3P\sb{J}, n = 2,$\cdots$, 10; Z = 3$\cdots$, 12, 1s2p \sp3P\sb{J}; Z = 3,$\cdots$,12, 1s3p\sp3P\sb{J}; Z = 2,$\cdots$, 12, 1s3d \sp3D\sb{J}; and Z = 2, 1snd \sp3D\sb{J}, n = 4,$\cdot\cdot\cdot$, 10. The final numerical values for the reduced matrix elements and the splittings are tabulated. By including the newly calculated second-order contributions of Drake, a comparison with the present high precision experimental measurements for the 1s2p \sp3P\sb{J} states of helium is made. Source: Dissertation Abstracts International, Volume: 56-01, Section: B, page: 0298. Supervisor: G. W. F. Drake. Thesis (Ph.D.)--University of Windsor (Canada), 1994