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Nuclear recoil corrections to the $2p_\frac{3}{2}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $αZ$

A. N. Artemyev·V. M. Shabaev·V. A. Yerokhin
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Abstract

The relativistic nuclear recoil corrections to the energy of the $2p_{\frac{3}{2}}$ state of hydrogen-like and the $(1s)^{2}2p_{\frac{3}{2}}$ state of high $Z$ lithium-like atoms in all orders in $αZ$ are calculated. The calculations are carried out using the B-spline method for the Dirac equation. For low $Z$ the results of the calculation are in good agreement with the $αZ$ -expansion results. It is found that the total nuclear recoil contribution to the energy of the $(1s)^{2}2p_{\frac{3}{2}}- (1s)^{2}2s$ transition in lithium-like uranium constitutes $-0.09\,eV$.

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A. N. Artemyev, V. M. Shabaev, V. A. Yerokhin. 1995-10-16. Nuclear recoil corrections to the $2p_\frac{3}{2}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $αZ$. https://doi.org/10.1088/0953-4075%2F28%2F24%2F006

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