3.2 Pionic Hydrogen and the Radiation Widths of the 3d, 4f,
5g Levels in Some π
− A Systems
In Table 7 we list the calculated (in meV) QED corrections to the energies of the 1s,
2p, 3p, 4p states for pionic hydrogen: data by Indelicato et al. and Serga et al. and
Table 3 The dependence of shifts and widths for the 4f, 3d levels due to the strong pion nuclear
interaction upon the parameter ImB 1 value for
208
Pb
ImB 1
ε
4f
0 (
208
Pb)
Γ
4f
0 (
208
Pb)
ε
3d
0 (
208
Pb)
Γ
3d
0 (
208
Pb)
0.00
1.596
1.11
18.2
67.7
0.02
1.603
1.09
18.9
63.6
0.04
1.625
1.07
19.7
58.7
0.06
1.633
1.05
20.5
54.8
0.08
1.641
1.03
21.6
50.5
0.10
1.652
0.96
22.8
47.2
0.12
1.723
0.91
23.8
45.3
Exp.
1.68 ± 0.04
0.98 ± 0.05
22.7 ± 2.2
47.1 ± 3.6
Table 4 The dependence of shifts and widths for the 4f, 3d levels due to the strong pion nuclear
interaction upon the parameter ImC 1 для ядpa
208
Pb
ImC 1
ε
4f
0 (
208
Pb)
Γ
4f
0 (
208
Pb)
ε
3d
0 (
208
Pb)
Γ
3d
0 (
208
Pb)
0.00
1.610
1.050
18.8
68.3
−0.05
1.622
0.949
19.4
64.4
−0.10
1.633
0.942
19.8
60.3
−0.15
1.642
0.939
20.5
56.5
−0.20
1.653
0.928
21.8
52.3
−0.25
1.665
0.918
22.6
48.2
−0.30
1.676
0.899
23.2
44.5
Exp.
1.68 ± 0.04
0.98 ± 0.05
22.7 ± 2.2
47.1 ± 3.6
Table 5 The dependence of shifts and widths for the 4f, 3d levels due to the strong pion nuclear
interaction upon the parameter ImB 1 value for
208
Pb
181
Ta
ImB 1
ε
4f
0 (
181
Ta)
Γ
4f
0 (
181
Ta)
ε
3d
0 (
181
Ta)
Γ
3d
0 (
181 Ta)
0.00
0.508
0.41
13.5
34.9
0.02
0.517
0.39
14.1
30.8
0.04
0.525
0.37
14.7
27.5
0.06
0.533
0.35
15.2
24.8
0.08
0.543
0.33
15.8
22.6
0.10
0.554
0.30
16.3
20.3
0.12
0.566
0.28
16.8
18.3
Exp.
0.56 ± 0.04
0.31 ± 0.05
16.2 ± 1.3
20.1 ± 1.5
82
O. Yu. Khetselius et al.