288 research outputs found
Vacuum polarization calculations for hydrogenlike and alkalilike ions
Complete vacuum polarization calculations incorporating finite nuclear size
are presented for hydrogenic ions with principal quantum numbers n=1-5.
Lithiumlike, sodiumlike, and copperlike ions are also treated starting with
Kohn-Sham potentials, and including first-order screening corrections. In both
cases dominant Uehling terms are calculated with high accuracy, and smaller
Wichmann- Kroll terms are obtained using numerical electron Green's functions.Comment: 23 pages, 1 figur
Hadronic Vacuum Polarization and the Lamb Shift
Recent improvements in the determination of the running of the fine-structure
constant also allow an update of the hadronic vacuum-polarization contribution
to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen.
We also comment on the contribution of this effect to the determination by
elastic electron scattering of the r.m.s. radii of nuclei.Comment: 7 pages, latex, 1 figure -- Submitted to Phys. Rev. A -- epsfig.sty
require
Precise calculation of transition frequencies of hydrogen and deuterium based on a least-squares analysis
We combine a limited number of accurately measured transition frequencies in
hydrogen and deuterium, recent quantum electrodynamics (QED) calculations, and,
as an essential additional ingredient, a generalized least-squares analysis, to
obtain precise and optimal predictions for hydrogen and deuterium transition
frequencies. Some of the predicted transition frequencies have relative
uncertainties more than an order of magnitude smaller than that of the g-factor
of the electron, which was previously the most accurate prediction of QED.Comment: 4 pages, RevTe
Stark shift and parity non-conservation for near-degenerate states of xenon
We identify a pair of near-degenerate states of opposite parity in atomic Xe,
the 5p^5 10s \,\, ^2[3/2]_2^o at cm and 5p^5 6f
\,\, ^2[5/2]_2 at cm, for which parity- and
time-odd effects are expected to be enhanced by the small energy separation. We
present theoretical calculations which indicate narrow widths for both states
and we report a calculated value for the weak matrix element, arising from
configuration mixing, of Hz for Xe. In addition, we measured
the Stark effect of the and
() states. The Stark-shift of the states
is observed to be negative, revealing the presence of nearby states at
higher energies, which have not been observed before. The Stark-shift
measurements imply an upper limit on the weak matrix element of Hz
for the near-degenerate states (10s \,\, ^2[3/2]_2^o and 6f \,\,
^2[5/2]_2), which is in agreement with the presented calculations.Comment: 11 pages, 6 figure
A cluster-separable Born approximation for the 3D reduction of the three-fermion Bethe-Salpeter equation
We perform a 3D reduction of the two-fermion Bethe-Salpeter equation based on
Sazdjian's explicitly covariant propagator, combined with a covariant
substitute of the projector on the positive-energy free states. We use this
combination in the two fermions in an external potential and in the
three-fermion problems. The covariance of the two-fermion propagators insures
the covariance of the two-body equations obtained by switching off the external
potential, or by switching off all interactions between any pair of two
fermions and the third one, even if the series giving the 3D potential is
limited to the Born term or more generally truncated. The covariant substitute
of the positive energy projector preserves the equations against continuum
dissolution without breaking the covariance.Comment: 21 pages, 1 figure This article has been deeply modified after
refereeing. The presentation has been improved and examples have been added.
Three subsections have been added (transition matrix elements, two-body
limits, covariant Salpeter's equation). submitted to Journal of Physics
Positronium S state spectrum: analytic results at O(m alpha^6)
We present an analytic calculation of the O(m alpha^6) recoil and radiative
recoil corrections to energy levels of positronium nS states and their
hyperfine splitting. A complete analytic formula valid to O(m alpha^6) is given
for the spectrum of S states. Technical aspects of the calculation are
discussed in detail. Theoretical predictions are given for various energy
intervals and compared with experimental results.Comment: 29 pages, revte
Theoretical overview of atomic parity violation. Recent developments and challenges
Recent advances in interpreting the most accurate to-date measurement of
atomic parity violation in Cs are reviewed. The inferred nuclear weak charge,
Q_W = - 72.65(28)_expt (36)_theor, agrees with the prediction of the standard
model at 1 sigma level. Further improved interpretation is limited by an
accuracy of solving basic correlation problem of atomic structure. We report on
our progress in solving this problem within the relativistic coupled-cluster
formalism. We include single-, double- and triple- electronic excitations in
the coupled-cluster expansion. Numerical results for energies, electric-dipole
matrix elements, and hyperfine-structure constants of Cs are presented.Comment: PAVI'06 proceedings + EJPA; refs + SM Qw fixe
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
Nuclear-polarization effect to the hyperfine structure in heavy multicharged ions
We have investigated the correction to the hyperfine structure of heavy
multicharged ions, which is connected with the nuclear-polarization effect
caused by the unpaired bound electron. Numerical calculations are performed for
hydrogenlike ions taking into account the dominant collective nuclear
excitations. The correction defines the ultimate limit of precision in accurate
theoretical predictions of the hyperfine-structure splittings
- …