THEORY OF THE LAMB SHIFT IN MUONIC HYDROGEN
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1 THEORY OF THE LAMB SHIFT IN MUONIC HYDROGEN Savely Karshenboim Max-Planck-Institut für Quantenoptik (Garching) & Pulkovo Observatory (ГГГ ГГГ) (St. Petersburg)
2 OUTLINE Level structure QED Unperturbed Leading energy levels Specific QED Re-scaled QED Proton-line QED Hadronic vacuum polarization Proton structure term External field Two-photon exchange Recoil proton-size Proton polarizability Comparison of theory and experiment Proton radius
3 OUTLINE Level structure QED Unperturbed Leading energy levels Specific QED Re-scaled QED Proton-line QED Hadronic vacuum polarization Proton structure term External field Two-photon exchange Recoil proton-size Proton polarizability Comparison of theory and experiment Proton radius
4 UNPERTURBED ENERGY LEVELS: EFFECTIVE DIRAC EQUATION Effective-Dirac-equation approach Breit-Hamiltonian approach
5 UNPERTURBED ENERGY LEVELS: EFFECTIVE DIRAC EQUATION
6 UNPERTURBED ENERGY LEVELS: EFFECTIVE DIRAC EQUATION
7 UNPERTURBED ENERGY LEVELS: EFFECTIVE DIRAC EQUATION
8 LEVELS STRUCTURE Experiment Level structure
9 UNPERTURBED ENERGY LEVELS: BRODSKY-PARSONS TERM HFS mixing Level structure
10 UNPERTURBED ENERGY LEVELS: BRODSKY-PARSONS TERM HFS mixing We consider Level structure
11 UNPERTURBED ENERGY LEVELS: EFFECTIVE DIRAC EQUATION
12 SPECIFIC QED FOR MUONIC HYDROGEN
13 SPECIFIC QED FOR MUONIC HYDROGEN The leading term + relativistic and recoil corrections
14 SPECIFIC QED FOR MUONIC HYDROGEN The leading term + relativistic and recoil corrections
15 SPECIFIC QED FOR MUONIC HYDROGEN: EVP (3)
16 SPECIFIC QED FOR MUONIC HYDROGEN: LIGHT-BY-LIGHT
17 SPECIFIC QED FOR MUONIC HYDROGEN
18 RE-SCALED HYDROGENIC THEORY
19 PROTON-LINE QED Infrared divergence in the radius Finite corrections to the energy levels
20 EXTERNAL-FIELD PROTONSIZE CONTRIBUTIONS x
21 EXTERNAL-FIELD PROTONSIZE CONTRIBUTION: PROBLEM Friar term
22 EXTERNAL-FIELD PROTONSIZE CONTRIBUTION: PROBLEM Friar term
23 EXTERNAL-FIELD PROTONSIZE CONTRIBUTION: PROBLEM Friar term Talk by François Nez Talk by Randolf Pohl Talk by John Arrington Talk by Mike Distler
24 EXTERNAL-FIELD PROTONSIZE CONTRIBUTION: METHOD Poster by Evgeny Korzinin
25 EXTERNAL-FIELD PROTONSIZE CONTRIBUTION: RESULTS
26 THE LAMB SHIFT IN MUONIC HYDROGEN: CONSISTENCY PROBLEM The integrand includes Three terms: integrand: fractional contributions 90% of the integral integral integrand
27 THE LAMB SHIFT IN MUONIC HYDROGEN: CONSISTENCY PROBLEM The integrand includes Three terms: integrand: fractional contributions 90% of the integral integral data are inaccurate; fit for G? data are negligible; fit for G (0)? integrand
28 STRATEGY OF THE EVALUATION Split the integral Low momentum High momentum Minimization of the uncertainty
29 TWO-PHOTON EXCHANGE Elastic Virtual Compton amplitude Talk by Mike Birse Inelastic
30 ELASTIC TPE: RECOIL & FINITE SIZE
31 ELASTIC TPE: RECOIL & FINITE SIZE
32 PROTON POLARIZABILITY: SUBTRACTION AND DISPERSION RELATIONS
33 PROTON POLARIZABILITY: SUBTRACTION AND DISPERSION RELATIONS
34 PROTON POLARIZABILITY: SUBTRACTION AND DISPERSION RELATIONS
35 PROTON POLARIZABILITY: SUBTRACTION AND DISPERSION RELATIONS
36 PROTON POLARIZABILITY: OTHER CALCULATIONS Talk by Mike Birse and Poster by Franziska Hagelstein
37 HADRONIC VACUUM POLARIZATION Talk by Ivan Logashenko
38 THEORETICAL SUMMARY
39 THEORY VS. EXPERIMENT: PROTON CHARGE RADIUS
40 THEORY VS. EXPERIMENT: PROTON CHARGE RADIUS
41 THEORY VS. EXPERIMENT: PROTON CHARGE RADIUS
42 The results are obtained in cooperation with Vladimir Ivanov (Pulkovo Obs) Evgeny Korzinin (VNIIM) Valery Shelyuto (VNIIM)
43 I AM GRATEFUL FOR FRUITFUL AND STIMULATING DISCUSSIONS Jose Manuel Alarcon, Igor Anikin, Aldo Antognini, Andrej Arbuzov, John Arrington, Jan Bernauer, Michael Birse, Edith Borie, Vladimir Braun, Carl Carlson, Victor Chernyak, Michael Distler, Dieter Drechsel, Simon Eidelman, Misha Eides, Ron Gilman, Misha Gorshteyn, Richard Hill, Franz Kottmann, Vadim Lensky, Ina Lorenz, Judith McGovern, Ulf Meissner, Makiko Nio, Krzysztof Pachucki, Vladimir Pascalutsa, Gil Paz, Randolf Pohl, Guy Ron, Akaki Rusetsky, Ingo Sick, Marc Vanderhaeghen
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