The Calculation of the Fine and the Hyperfine Structures of 2³P and 2¹P States of the Helium Isoelectronic Sequence up to Z=10

Abstract

On the basis of 165-term Hylleraas type wavefunctions, the total energies of 2³P and 2¹P, the relativistic and the mass corrections, and the fine and hyperfine structure are calculated for the helium isoelectronics (from ³He to ²¹Ne⁸⁺) having nuclear spins I=1⁄2. 1 and 3/2. The accuracy of the calculation is examined by comparing the results with the experimental data for fine structure splitting of all the ions and for the hyperfine splitting of ⁶Li⁺ and ⁷Li⁺. Complete tables of the hyperfine structures are given for all the ions. The effect of ¹P–³P mixing is discussed.