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Title: Nuclear polarizability of helium isotopes in atomic transitions

Abstract

We estimate the nuclear polarizability correction to atomic transition frequencies in various helium isotopes. This effect is non-negligible for high precision tests of quantum electrodynamics or accurate determination of the nuclear charge radius from spectroscopic measurements in helium atoms and ions; in particular it amounts to 28(3) kHz for 1S-2S transition in {sup 4}He{sup +}.

Authors:
 [1];  [2]
  1. Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw (Poland)
  2. Departamento de FAMN, Universidad de Sevilla, Apartado 1065, 41080 Sevilla (Spain)
Publication Date:
OSTI Identifier:
20982318
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032521; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMIC NUMBER; ATOMS; CORRECTIONS; ENERGY-LEVEL TRANSITIONS; HELIUM IONS; HELIUM ISOTOPES; ISOTOPE EFFECTS; KHZ RANGE; LIFETIME; POLARIZABILITY; QUANTUM ELECTRODYNAMICS; RELATIVISTIC RANGE

Citation Formats

Pachucki, K., and Moro, A. M. Nuclear polarizability of helium isotopes in atomic transitions. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.032521.
Pachucki, K., & Moro, A. M. Nuclear polarizability of helium isotopes in atomic transitions. United States. doi:10.1103/PHYSREVA.75.032521.
Pachucki, K., and Moro, A. M. Thu . "Nuclear polarizability of helium isotopes in atomic transitions". United States. doi:10.1103/PHYSREVA.75.032521.
@article{osti_20982318,
title = {Nuclear polarizability of helium isotopes in atomic transitions},
author = {Pachucki, K. and Moro, A. M.},
abstractNote = {We estimate the nuclear polarizability correction to atomic transition frequencies in various helium isotopes. This effect is non-negligible for high precision tests of quantum electrodynamics or accurate determination of the nuclear charge radius from spectroscopic measurements in helium atoms and ions; in particular it amounts to 28(3) kHz for 1S-2S transition in {sup 4}He{sup +}.},
doi = {10.1103/PHYSREVA.75.032521},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
  • Nuclear-polarizability corrections that go beyond unretarded-dipole approximation are calculated analytically for hydrogenic (atomic) S states. These retardation corrections are evaluated numerically for deuterium and contribute {minus}0.68 kHz, for a total polarization correction of 18.58(7) kHz. Our results are in agreement with one previous numerical calculation, and the retardation corrections completely account for the difference between two previous calculations. The uncertainty in the deuterium polarizability correction is substantially reduced. At the level of 0.01 kHz for deuterium, only three primary nuclear observables contribute: the electric polarizability {alpha}{sub E}, the paramagnetic susceptibility {beta}{sub M}, and the third Zemach moment {l_angle}r{sup 3}{r_angle}{sub (2)}.more » Cartesian multipole decomposition of the virtual Compton amplitude and its concomitant gauge sum rules are used in the analysis. {copyright} {ital 1997} {ital The American Physical Society}« less
  • Five recently measured /sup 4/He I transitions involving nS, nP, and nD levels (n = 3--8, ..delta..n = 0,2) are compared with theoretical energy levels having estimated uncertainties that are comparable with those of the experimental results (--10/sup -3/ cm/sup -1/) (T.J. Sears S. C. Foster, and A. R. W. McKellar, J. Opt. Soc. Am. B3, 1037 (1986)). The agreement between theory and experiment is generally good, but considerable discrepancy exists for one transition.
  • A many-body-theory (MBT) formulation for electron scattering by excited electronic states is applied to excitation from the 2 [sup 1,3][ital S] metastable states of helium. The lowest-order MBT for these transitions involves a chanel coupling'' to the ground state of helium as well as a distortion of the free-electron wave function by the ground state of the target, while the distorted-wave approximation (DWA) involves a distortion of the incident and scattered electron wave functions by the initial and final target states, respectively. Results using the first-order many-body theory and DWA are reported here for integral and differential cross sections formore » excitation from the 2 [sup 1,3][ital S] states to (2,3) [sup 1,3][ital P], 3 [sup 1,3][ital S], and 3 [sup 1,3][ital D] states, and are compared with published experimental and theoretical data.« less
  • The profile of Lyman-alpha radiation in an expanding gas cloud is calculated in detail in order to determine the color temperature of the radiation scattered by an H I atom within the cloud. The basic methods used include a Sobolov-like treatment and the application of a redistribution function for the scattering that preserves detailed balance when the recoil of the atom is included. It is found that for hydrogen the color temperature approaches the kinetic temperature above tau(L) of 100,000, while for deuterium it tends to be well below the kinetic temperature for tau(L) of about a billion or less,more » becoming comparable to 3 K for some tau(L). For He-3 ion, the color temperature can become negative. 41 references.« less