EGAS41 - Swansea University
EGAS41 - Swansea University
EGAS41 - Swansea University
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41 st EGAS CP 206 Gdańsk 2009<br />
M1-E2 interference in the Zeeman spectra of 6s 2 6p n<br />
(n = 1, 2, 3) ground configurations of Pb II, Pb I and Bi I<br />
S. Werbowy, J. Kwela ∗<br />
Institute of Experimental Physics, <strong>University</strong> of Gdansk, ul. Wita Stwosza 57,<br />
80-952 Gdansk, Poland<br />
∗ Corresponding author: fizjk@univ.gda.pl<br />
The measurement of the ratio D=A E2 /(A E2 + A M1 ) of the electric-quadrupole (E2) and<br />
magnetic-dipol (M1) transition probabilities in mixed forbidden lines can provide stringent<br />
test of theoretical wave-function calculations. In addition accurate knowledge of this<br />
quantity is essential for existing and future measurements of parity nonconserving optical<br />
rotation.<br />
According to [1], the spontaneous transition probability for a single photon emission<br />
in the presence of the magnetic field can be expressed as:<br />
a ab = (1 − D)a M1<br />
ab<br />
+ Da E2<br />
ab ± 2 √<br />
D(1 − D)a M1−E2<br />
ab , (1)<br />
where D is percentage admixture of E2 radiation, a M1<br />
ab and a E2<br />
ab are pure magnetic-dipol<br />
and electric-quadrupole components, respectively and the cross term a M1+E2<br />
ab describes<br />
the interference effect. The sign of the interference term in (1) can be predicted if the<br />
wave functions of the electronic states involved in the transition are known.<br />
Our experimental results are presented in Table 1.<br />
Table 1: Values of the electric quadrupole admixtures and phase signs in mixed type transitions<br />
in lead and bismuth.<br />
Configuration Transition E2 admixture Phase sign φ<br />
6s 2 6p Pb II ( 2 P 3/2 - 2 P 1/2 ) 710.2nm 4.25 ± 0.18 % [2] negative<br />
6s 2 6p 2 Pb I ( 1 D 2 - 3 P 1 ) 733.2nm 4.12 ± 0.07 % [2] positive<br />
6s 2 6p 3 Bi I ( 2 D 3/2 - 4 S 3/2 ) 875.5nm 0.70 ± 0.11 % [3] negative<br />
( 2 D 5/2 - 4 S 3/2 ) 647.6nm 17.5 ± 0.4 % [3] positive<br />
( 2 P 1/2 - 4 S 3/2 ) 461.5nm 7.84 ± 0.14 % [3] positive<br />
( 2 P 3/2 - 2 D 3/2 ) 459.7nm 3.49 ± 0.35 % [4] positive<br />
( 2 P 3/2 - 2 D 5/2 ) 564.0nm 37.1 ± 1.8 % [4] negative<br />
Acknowledgment<br />
This work was supported by the BW grant: 5200-5-0164-9.<br />
References<br />
[1] S. Werbowy, J. Kwela, R. Drozdowski, J. Heldt, Eur. Phys. J. D 39 5 (2006)<br />
[2] S. Werbowy, J. Kwela, J. Phys. B: At. Mol. Opt. Phys. 42 065002 (2009)<br />
[3] S. Werbowy, J. Kwela, Phys. Rev. A 77, 023410 (2008)<br />
[4] S. Werbowy, J. Kwela, Can. J. Phys. (2009) - in press<br />
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