Second-Order Hyperfine and Zeeman Corrections for an (sl) Configuration

Abstract

The complete Zeeman and hyperfine (dipole, quadrupole, and octupole) matrices are given for an ($\mathrm{sl}$) configuration in intermediate coupling. From these are derived the second-order corrections to the zero-field hyperfine intervals for an ($\mathrm{sp}$) configuration. In addition, we obtain the corrections appropriate to the crossing of certain of the hyperfine Zeeman levels of an ($\mathrm{sp}$) ${}_{}{}^3{}_{}{}^{}P_1^{}{}_{}{}^{}$ state for atoms with spin-½ and spin-$\frac{3}{2}$ nuclei.