155 research outputs found
Three-Loop Contribution to Hyperfine Splitting in Muonium: Polarization Corrections to Light by Light Scattering Blob
We calculate corrections of order to hyperfine
splitting in muonium generated by the gauge invariant set of diagrams with
polarization insertions in the light by light scattering diagrams. This
nonrecoil contribution turns out to be -2.63 Hz. The total contribution of all
known corrections of order is equal to -4.28 Hz.Comment: 12 pages, 3 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
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
Radiative-Recoil Corrections to Hyperfine Splitting: Polarization Insertions in the Muon Factor
We consider three-loop radiative-recoil corrections to hyperfine splitting in
muonium due to insertions of one-loop polarization operator in the muon factor.
The contribution produced by electron polarization insertions are enhanced by
the large logarithm of the electron-muon mass ratio. We obtained all
single-logarithmic and nonlogarithmic radiative-recoil corrections of order
generated by the diagrams with electron and muon
polarization insertions.Comment: 10 pages, 4 figure
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
Improved Theory of the Muonium Hyperfine Structure
Terms contributing to the hyperfine structure of the muonium ground state at
the level of few tenths of kHz have been evaluated. The
radiative correction has been calculated numerically to the precision of 0.02
kHz. Leading terms of order and some relativistic corrections have been evaluated analytically.
The theoretical uncertainty is now reduced to 0.17 kHz. At present, however, it
is not possible to test QED to this precision because of the 1.34 kHz
uncertainty due to the muon mass.Comment: 11 pages + 2 figures (included), RevTeX 3.0, CLNS 94/127
Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops
We consider three-loop radiative-recoil corrections to hyperfine splitting in
muonium generated by the diagrams with electron and muon vacuum polarizations.
We calculate single-logarithmic and nonlogarithmic contributions of order
generated by gauge invariant sets of diagrams with electron
and muon polarization insertions in the electron and muon factors. Combining
the new contributions with our older results we present complete result for all
three-loop radiative-recoil corrections generated by the diagrams with electron
and muon polarization loops.Comment: 8 pages, 10 figures. Editorial changes, results unchanged. Version
published in Phys.Rev.Let
Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
Radiative-recoil corrections to hyperfine splitting in muonium of orders
and are
calculated. These corrections are of the second order in the small
electron-muon mass ratio. An analytic expression is
obtained. Numerically the correction is equal to -0.0351\:\mbox{kHz} and is
of the same order of magnitude as the expected accuracy of the current Los
Alamos experiment to measure the hyperfine splitting.Comment: Revtex, 19 pages, 3 tables; two references added, no other change
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
Radiative Corrections to the Muonium Hyperfine Structure. I. The Correction
This is the first of a series of papers on a systematic application of the
NRQED bound state theory of Caswell and Lepage to higher-order radiative
corrections to the hyperfine structure of the muonium ground state. This paper
describes the calculation of the radiative correction. Our
result for the complete correction is 0.424(4) kHz, which
reduces the theoretical uncertainty significantly. The remaining uncertainty is
dominated by that of the numerical evaluation of the nonlogarithmic part of the
term and logarithmic terms of order .Comment: 56 pages, Rev.tex V3.0 and epsf.tex. 12 postscript files are called
in the text. Version accepted by Phys. Rev. D. A new table is adde
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