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Variation of Constants and Violation of Symmetries, Cairns, 2010.

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Presentation on theme: "Variation of Constants and Violation of Symmetries, Cairns, 2010."— Presentation transcript:

1 Variation of Constants and Violation of Symmetries, Cairns, 2010

2 Radiative corrections and parity nonconservation in atoms UNSW, Sydney, Australia Michael Kuchiev Cairns, 24-25 July, 2010

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4 Radiative corrections Roughly speaking: 1.Vacuum polarization 2.Fermion self-interaction, self- energy and vertex correction

5 1. Vacuum polarization 1930 e

6 Uehling-Serber potential (1935) Hesenberg-Euler problem (1935)

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8 Kuchiev, Flambaum (2002 )

9 Parameters that govern wave function at small distances

10 Derivation ( MK 2001 )

11 Vacuum polarization correction to PNC Kuchiev, Flambaum (2002) Sushkov (2001) Johnson, Bednyakov, Soff (2001)

12 Vacuum polarization correction in Cs Sushkov, Milstein (2001) Kuchiev, Flambaum (2002)

13 2001-2002: what we gonna do with Standard Model? Michael Kozlov Victor Flambaum Oleg Sushkov ? Alexander Milstein Walter Johnson

14 2.Electron self-interaction for Lamb shift

15 Self-interaction correction to PNC

16 2.Analytical result Kuchiev (2002) Milstein, Sushkov, Terekhov (2002)

17 The thin dotted line, thick dotted line, and solid line: self-energy corrections to the PNC amplitude

18 Convergence of analytical results on self-energy correction Kuchiev (2002) Kuchiev, Flambaum (2002,2003) Milstein, Sushkov, Terekhov (2002)

19 Estimate for PNC based on available data for Finite Nuclear Size (FNS) The correction to the PNC amplitude is equal to the average of the corrections to the FNS energy shifts for S 1/2 and P 1/2 levels. Kuchiev, Flambaum (2002) Corrections to nuclear finite size: W.R.Johnson and G.Soff, At. Data Nuc. Data Tables 33, 405 (1985). S.A.Blundell, Phys. Rev. A 46, 3762 (1992). K.T.Cheng, W.R.Johnson and J.Sapirstein, Phys. Rev A 47, 1817 (1993). [I.Lindgren, H.Persson, S.Salomonson, and A.Ynnerman, Phys. Rev. A 47, 4555 (1993).

20 Corrections to the PNC amplitude The thin dotted line analitical result, thick dotted line (from comparison with FNS, solid line is an interpolation.

21 Kuchiev, Flambaum (2003)

22 VA Dzuba, VV Flambaum, JSM Ginges - Physical Review D, 2002 – APS VV Flambaum, JSM Ginges - Physical Review A, 2005 – APS A Derevianko, SG Porsev - The European Physical Journal A- Hadrons, 2007 SG Porsev, K Beloy, A Derevianko - Arxiv preprint arXiv:1006.4193, 2010 VM Shabaev Physics-Uspekhi 51 1175 2008 AV Maiorova, OI Pavlova, VM Shabaev, Journal of Physics B, 2009 Further reading

23 Conclusions Radiative corrections to PNC in heavy atoms are large, of the order of 1%. Radiative corrections to PNC in heavy atoms are large, of the order of 1%. Similarly are large radiative corrections related to any phenomenon which manyfests itslef at small, nuclear scale, distances Similarly are large radiative corrections related to any phenomenon which manyfests itslef at small, nuclear scale, distances Lesson: before daring to amend a major theory do your calculations right. Lesson: before daring to amend a major theory do your calculations right.

24 Thanks: To numerous colleagues (some of them pictured) for stimulating discussions and atmosphere Internet community, which mostly tolerates my little follies ARC for support Generous organisers and patient listeners of the workshop


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