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Effect of spin-orbit coupling on 2 p 1 2 − 2 p 3 <mml:…

1977; American Institute of Physics; Volume: 16; Issue: 3 Linguagem: Inglês

10.1103/physreva.16.951

0556-2791

R. Anholt, W. E. Meyerhof, A. Salin,

High-pressure geophysics and materials

We consider the effect of spin-orbit coupling between the molecular orbitals correlated to the united-atom $2{p}_{\frac{1}{2}}$ and $2{p}_{\frac{3}{2}}$ states on rotational-coupling transition probabilities in heavy-ion collisions. In low-$Z$, lowvelocity encounters, where the splitting is small, calculations of the rotational-coupling cross section have been shown to be in agreement with experiment. We compute a correction factor to the previous calculations in terms of a general scaling parameter $\ensuremath{\xi}=\frac{\ensuremath{\Delta}E}{{(k{v}_{1}^{2})}^{\frac{1}{3}}}$, where $\ensuremath{\Delta}E$ is the spin-orbit splitting in the united atom, ${v}_{1}$ is the ion velocity, and $k=\frac{{Z}_{1}{Z}_{2}{({Z}_{1}+{Z}_{2})}^{2}}{40}$ a.u. The correction is generally small, but is observed in high-$Z$ encounters at low velocities.