26 research outputs found
Gyromagnetic Ratios of Bound Particles
A new approach to calculation of the binding corrections to the magnetic
moments of the constituents in a loosely bound system, based on the
Bargmann-Michel-Telegdi equation, is suggested. Binding corrections are
calculated in this framework, and the results confirm earlier calculations
performed by other methods. Our method clearly demonstrates independence of the
binding corrections on the magnitude of the spin of the constituents.Comment: 10 pages, RevTe
Radiative-Recoil Corrections of Order to Lamb Shift Revisited
The results and main steps of an analytic calculation of radiative-recoil
corrections of order to the Lamb shift in hydrogen
are presented. The calculations are performed in the infrared safe Yennie
gauge. The discrepancy between two previous numerical calculations of these
corrections existing in the literature is resolved. Our new result eliminates
the largest source of the theoretical uncertainty in the magnitude of the
deuterium-hydrogen isotope shift.Comment: 14 pages, REVTE
An Contribution to the Hydrogen Lamb Shift from Virtual Light by Light Scattering
The radiative correction to the Lamb shift of order
induced by the light by light scattering insertion in external photons is
obtained. The new contribution turns out to be equal to
. Combining this contribution
with our previous results we obtain the complete correction of order
induced by all diagrams with closed electron loops.
This correction is kHz and kHz for the - and
-states in hydrogen, respectively.Comment: pages, Penn State Preprint PSU/TH/142, February 199
Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
We calculate three-loop radiative-recoil corrections to hyperfine splitting
in muonium generated by the diagrams with the first order electron and muon
polarization loop insertions in graphs with two exchanged photons. These
corrections are enhanced by the large logarithm of the electron-muon mass
ratio. The leading logarithm squared contribution was obtained a long time ago.
Here we calculate the single-logarithmic and nonlogarithmic contributions. We
previously calculated the three-loop radiative-recoil corrections generated by
two-loop polarization insertions in the exchanged photons. The current paper
therefore concludes calculation of all three-loop radiative-recoil corrections
to hyperfine splitting in muonium generated by diagrams with closed fermion
loop insertions in the exchanged photons. The new results obtained here improve
the theory of hyperfine splitting, and affect the value of the electron-muon
mass ratio extracted from experimental data on the muonium hyperfine splitting.Comment: 27 pages, 6 figures, 7 table
NEW CORRECTIONS OF ORDER AND TO THE LAMB SHIFT
Two corrections to the Lamb shift, induced by the polarization operator
insertions in the external photon lines are calculated.Comment: 4 pages, revtex, no figure
Recoil Corrections of Order to the Hydrogen Energy Levels Revisited
The recoil correction of order to the hydrogen energy
levels is recalculated and a discrepancy existing in the literature on this
correction for the 1S energy level, is resolved. An analytic expression for the
correction to the S-levels with arbitrary principal quantum number is obtained.Comment: 17 pages, ReVTe
Two-Loop Polarization Contributions to Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
We calculate radiative-recoil corrections of order
to hyperfine splitting in muonium generated by the
diagrams with electron and muon polarization loops. These corrections are
enhanced by the large logarithm of the electron-muon mass ratio. The leading
logarithm cubed and logarithm squared contributions were obtained a long time
ago. The single-logarithmic and nonlogarithmic contributions calculated here
improve the theory of hyperfine splitting, and affect the value of the
electron-muon mass ratio extracted from the experimental data on the muonium
hyperfine splitting.Comment: 15 pages, 11 figure
Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting Generated by One-Loop Fermion Factors
We consider three-loop radiative-recoil corrections to hyperfine splitting in
muonium generated by diagrams with one-loop radiative photon insertions both in
the electron and muon lines. An analytic result for these nonlogarithmic
corrections of order is
obtained. This result constitutes a next step in the implementation of the
program of reduction of the theoretical uncertainty of hyperfine splitting
below 10 Hz.Comment: 11 pages, 3 figures, 1 tabl
Theory of Light Hydrogenlike Atoms
The present status and recent developments in the theory of light hydrogenic
atoms, electronic and muonic, are extensively reviewed. The discussion is based
on the quantum field theoretical approach to loosely bound composite systems.
The basics of the quantum field theoretical approach, which provide the
framework needed for a systematic derivation of all higher order corrections to
the energy levels, are briefly discussed. The main physical ideas behind the
derivation of all binding, recoil, radiative, radiative-recoil, and
nonelectromagnetic spin-dependent and spin-independent corrections to energy
levels of hydrogenic atoms are discussed and, wherever possible, the
fundamental elements of the derivations of these corrections are provided. The
emphasis is on new theoretical results which were not available in earlier
reviews. An up-to-date set of all theoretical contributions to the energy
levels is contained in the paper. The status of modern theory is tested by
comparing the theoretical results for the energy levels with the most precise
experimental results for the Lamb shifts and gross structure intervals in
hydrogen, deuterium, and helium ion , and with the experimental data on
the hyperfine splitting in muonium, hydrogen and deuterium.Comment: 230 pages, 106 figures, 24 tables. Discussion of muonic hydrogen is
added, list of references expanded, some minor corrections and amendment