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

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

1995-10-16

arxiv.org/abs/quant-ph/9510016v1

Physics

Quantum Physics

12 pages, latex, Submitted to Journal of Physics B

Scientific paper

10.1088/0953-4075/28/24/006

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 $\alpha Z$ 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 $\alpha Z$ -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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