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Introduction

Once radial functions have been determined that simultaneously represent several LS terms, providing a basis for a Breit-Pauli expansion of LSJ wave functions, a configuration interaction calculation may be performed for determining selected eigenvalues and wave functions expansions or eigenvectors. In the present design the Breit-Pauli Hamiltonian is represented as a sum of the non-relativistic Hamiltonian, $H_{NR}$, and the relativistic contribution, ${H_R}$:

\begin{displaymath}
H = H_{NR} + H_R
\end{displaymath} (9)

The relativistic part, ${H_R}$ is a sum of the contributions of:

\begin{displaymath}
H_R = H_{mass} + H_{Darwin} + H_{ssc} + H_{oo} +
+ H_{so} + H_{ss} + H_{soo}
\end{displaymath} (10)

where the first four terms, mass, Darwin, spin-spin contact, and orbit-orbit, give a non-fine structure contributions, which are not J dependent. The last three, spin-orbit, spin-spin, and spin-other orbit define fine structure splitting.



2001-10-11