Zeeman effect of the hyperfine structure levels in H- and Li-like lead
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2007 November 23 [email protected] 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 2 Gesellschaft f¨ur Schwerionenforschung, Planckstrasse 1, D- 64291 Darmstadt, Germany
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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 - PowerPoint PPT Presentation
Transcript of Zeeman effect of the hyperfine structure levels in H- and Li-like lead
2007 November 23 [email protected]
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, Russia2Gesellschaft f¨ur Schwerionenforschung, Planckstrasse 1, D-64291 Darmstadt, Germany
2007 November 23 [email protected]
Abstract
The fully relativistic theory of the Zeeman splitting of the 1s and 2s hyperfine-structure levels in hydrogen- and lithiumlike Pb-207, respectively, is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections to the Breit – Rabi formula are calculated and discussed. The results can be used for a precise determination of the nuclear magnetic moment, hyperfine structure (HFS), and electronic gj -factor of lead from g-factor experiments.
2007 November 23 [email protected]
We consider a hydrogen- or lithiumlike Pb-207 in the ground state. The ion is placed in a homogeneous magnetic field B directed along the z axis.
z
Bµ
μ = < I I |μz| I I > is the nuclear magnetic moment
I = ½ is the nuclear spin
gI = μ/(μNI) is the nuclear g factor
2007 November 23 [email protected]
Zeeman effect of the HFS levels
ΔEHFS = E(F′) − E(F)
ΔEmag = E − ½ [E(F) + E(F′)]
For light ions ΔEmag ~ ΔEHFS
For 207Pb81+ and 207Pb79+ ΔEmag << ΔEHFS
F′ = 1
F = 0
MF=+1
MF=-1
MF=0
MF=0
ΔEHFS(1s)=1.22 eV (H-like lead)
ΔEHFS(2s)=0.20 eV (Li-like lead)
B = 1 – 10 TΔEmag ~ 5*10-4 eV
1s, 2s
207Pb
I =1/2
2007 November 23 [email protected]
The diagrams contributing to the Breit – Rabi formula coefficients
2007 November 23 [email protected]
The idea of taking into account the interaction of the valent electron with the closed (1s)2 electron shell.
2007 November 23 [email protected]
2007 November 23 [email protected]
Corrections to the Breit – Rabi formula for H- and Li-like Pb-207
2007 November 23 [email protected]
0,00 0,01 0,02 0,03 0,04 0,05 0,06
-0,6
-0,4
-0,2
0,0
0,2
0,4
0,6
x = EHFS
(1s)
F = 1
F = 0
Emag
, eV
207Pb81+
B = 6 T
EHFS
(1s) = 1.22 eV
x =
B C D E
2007 November 23 [email protected]
0,000 0,001 0,002 0,003 0,004 0,005 0,006
-0,10
-0,08
-0,06
-0,04
-0,02
0,00
0,02
0,04
0,06
0,08
0,10F = 1
F = 0
207Pb79+
B = 6 T
EHFS
(2s) = 0.20 eV
x =
Emag
, eV
x = EHFS
(2s)
B C D E
2007 November 23 [email protected]
0,0 0,1 0,2 0,3 0,4 0,5 0,6-0,16-0,14-0,12-0,10-0,08-0,06-0,04-0,020,000,020,040,060,080,100,120,140,160,180,200,22
207Pb79+
x = EHFS
(2s)
Emag
, eV
B C D E
