Fine and Hyperfine Structure of the2 P2Term ofLi6andLi7

Abstract

Interference signals in resonance fluorescence associated with the crossing of the $J=\frac{3}{2}$, $m_J=-\frac{3}{2}$ and $J=\frac{1}{2}$, $m_J=\frac{1}{2}$ fine-structure Zeeman levels were used to investigate the fine and hyperfine structure of the $2 {}_{}{}^2{}_{}{}^{}P$ term of ${\mathrm{Li}}^6$ and ${\mathrm{Li}}^7$. The magnetic field strength corresponding to this crossing was determined for each isotope to within 1 part in 4.5×${10}^4$. However, the precision with which the fine-structure splitting can be inferred from the crossing field is limited at the present time by a lack of knowledge of relativistic and diamagnetic corrections to the orbital $g$ factor $g_L$. The ${\mathrm{Li}}^7$ signal exhibited well-resolved hyperfine structure. Measurements of this structure have been used together with Ritter's result for the hyperfine splitting in the $2 {}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}$ state to obtain values for $a_{c,\frac{3}{2}}$ and $a_{d,\frac{3}{2}}$, the Fermi contact and dipole-dipole contributions to the magnetic hyperfine interaction in the $2 {}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}$ state of ${\mathrm{Li}}^7$, and a value for $Q$, the quadrupole moment of the ${\mathrm{Li}}^7$ nucleus. They are: $a_{c\frac{3}{2}}=-10.53\mathrm{}\pm 0.23$ Mc/sec, $a_{d\frac{3}{2}}=7.13\mathrm{}\pm 0.03$ Mc/sec, and $Q=(-3\mathrm{}\pm 2)\times {10}^{-26\mathrm{}}$ ${\mathrm{cm}}^2$. The widths of the hyperfine components of the ${\mathrm{Li}}^7$ crossing signal yield (2.72±0.04)×${10}^{-8\mathrm{}}$ sec for the life-time of the

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