1 / 14

Zeeman effect of the hyperfine structure levels in H- and Li-like lead

Zeeman effect of the hyperfine structure levels in H- and Li-like lead. D. L. Moskovkin 1 , V. M. Shabaev 1 , and W. Quint 2 1 Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia

hinto
Download Presentation

Zeeman effect of the hyperfine structure levels in H- and Li-like lead

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Zeeman effect of the hyperfine structure levels in H- and Li-like lead D. L. Moskovkin1, V. M. Shabaev1, and W. Quint2 1Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia 2Gesellschaft f¨ur Schwerionenforschung, Planckstrasse 1, D-64291 Darmstadt, Germany dlmos@pcqnt1.phys.spbu.ru

  2. Abstract The fully relativistic theory of the Zeeman splitting of the 1s and 2s hyperfine-structurelevels in hydrogen- and lithiumlike Pb-207, respectively, is considered for the magnetic fieldmagnitude in the range from 1 to 10 T. The second-order corrections to the Breit – Rabiformula are calculated and discussed. The results can be used for a precise determinationof the nuclear magnetic moment, hyperfine structure (HFS), and electronic gj-factor of leadfromg-factor experiments. dlmos@pcqnt1.phys.spbu.ru

  3. We consider a hydrogen- or lithiumlike Pb-207 in the ground state. The ion is placed in ahomogeneous magnetic field B directed along the z axis. μ = < I I|μz|II > is the nuclear magnetic moment I = ½ is the nuclear spin z gI = μ/(μNI) is the nuclear g factor B µ dlmos@pcqnt1.phys.spbu.ru

  4. Zeeman effect of the HFS levels MF=+1 F′ = 1 ΔEmag ~ 5*10-4 eV B = 1 – 10 T MF=0 MF=-1 207Pb ΔEHFS(1s)=1.22 eV (H-like lead) 1s, 2s ΔEHFS(2s)=0.20 eV (Li-like lead) I =1/2 F = 0 MF=0 ΔEHFS = E(F′) − E(F) ΔEmag = E −½ [E(F) + E(F′)] For light ions ΔEmag~ΔEHFS For 207Pb81+ and 207Pb79+ΔEmag<<ΔEHFS dlmos@pcqnt1.phys.spbu.ru

  5. The Breit – Rabi formula for Pb-207 dlmos@pcqnt1.phys.spbu.ru

  6. The individual contributions to the coefficients dlmos@pcqnt1.phys.spbu.ru

  7. The diagrams contributing to the Breit – Rabi formula coefficients dlmos@pcqnt1.phys.spbu.ru

  8. The idea of taking into account the interaction of the valent electron with the closed (1s)2 electron shell. dlmos@pcqnt1.phys.spbu.ru

  9. dlmos@pcqnt1.phys.spbu.ru

  10. Corrections to the Breit – Rabi formula for H- and Li-like Pb-207 dlmos@pcqnt1.phys.spbu.ru

  11. The numerical results dlmos@pcqnt1.phys.spbu.ru

  12. dlmos@pcqnt1.phys.spbu.ru

  13. dlmos@pcqnt1.phys.spbu.ru

  14. dlmos@pcqnt1.phys.spbu.ru

More Related