Transcript Kuchiev, Flambaum

Radiative corrections and parity
nonconservation in atoms
UNSW, Sydney, Australia
Michael Kuchiev
Cairns, 24-25 July, 2010
Parity is not conserved,

W , Z bosons interact
only with left-handed fermions
Radiative corrections
Roughly speaking:
1. Vacuum polarization
2. Fermion self-interaction, selfenergy and vertex correction
1. Vacuum polarization
e
 m
 (r )   U (r )
  m
Uehling-Serber potential (1935)
Ze
U (r )  
r
2
 2 2 m r

Y ( ) d 
1   e
3

1




1   1
Y ( )  1  2 
2
 2  
2
Hesenberg-Euler
problem (1935)
Vacuum polarization is strong at small distances r  rC .
How to find the correctio to
wave function at small distances?
Which parameters govern the pronblem?
  ( j  1/ 2),     ( Z )
Z
2 (2  1)
a
,
k
2
 mc
 (4  1)
2
Kuchiev, Flambaum (2002)
2
Parameters that govern wave function
at small distances
m
2
m
2
| V | r  conventional nonrelativistic parameter
2
| V | r rCompton ( Z )  relativistic parameter
Derivation (MK 2001)
Vacuum polarization
correction to PNC
Sushkov (2001)
Johnson,
Bednyakov, Soff
(2001)
Kuchiev, Flambaum (2002)
Vacuum polarization
correction in Cs
Sushkov, Milstein (2001)
Kuchiev, Flambaum (2002)
0.4%
2001-2002: what we gonna do with
Standard Model?
Alexander Milstein
Oleg Sushkov
Michael Kozlov
Walter Johnson
Victor Flambaum
2.Electron self-interaction for Lamb
shift
Self-interaction correction to PNC
2.Analytical result
Kuchiev (2002)
Milstein, Sushkov, Terekhov (2002)
The thin dotted line, thick dotted line, and solid
line: self-energy corrections to the PNC
amplitude
Convergence of analytical results on self-energy correction
Kuchiev (2002)
Kuchiev, Flambaum (2002,2003)
Milstein, Sushkov, Terekhov (2002)
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 S1/2 and P1/2
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).
Corrections to the PNC amplitude
The thin dotted line analitical result , thick dotted line
(from comparison with FNS, solid line is an
interpolation.
Kuchiev, Flambaum (2003)
Further reading
•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 AHadrons, 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
Conclusions

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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
Lesson: before daring to amend a major
theory do your calculations right.
Thanks:



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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