Calculation of Matrix Element of Electrostatic Interaction between p⁴l and p⁴l' for the Different Couplings

Abstract

General formulae are given for the energy matrix of electrostatic interaction between configurations p⁴l and p⁴l′ with l′ l. They are obtained for the Russell-Saunders coupling scheme as well as for the heterogeneous coupling scheme, in which one configuration is in the Russell-Saunders and the other in the pair coupling scheme. In both schemes, non-zero matrices are those with l′ differing from l by 2. Present results are applicable to the calculation of the levels of singly ionized rare gas, in which the configuration interaction plays an important role.