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Title: Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkali-metal atoms

Abstract

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving (PNC) amplitude in cesium and francium is evaluated to all orders in {alpha}Z using a local form of the Dirac-Fock potential. The calculations are performed in both length and velocity gauges for the absorbed photon and the total binding QED correction is found to be -0.27(3)% for Cs and -0.28(5)% for Fr. Moreover, a high-precision calculation of the electron-correlation and Breit-interaction effects on the 7s-8s PNC amplitude in francium using a large-scale configuration-interaction Dirac-Fock method is performed. The obtained results are employed to improve the theoretical predictions for the PNC transition amplitude in Cs and Fr. Using an average value from two most accurate measurements of the vector transition polarizability, the weak charge of {sup 133}Cs is derived to amount to Q{sub W}=-72.65(29){sub exp}(36){sub theor}. This value deviates by 1.1{sigma} from the prediction of the standard model. The values of the 7s-8s PNC amplitude in {sup 223}Fr and {sup 210}Fr are obtained to be -15.49(15) and -14.16(14), respectively, in units of ix10{sup -11}(-Q{sub W})/N a.u.

Authors:
 [1];  [2];  [1];  [3];  [4];  [1];  [5]
  1. Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504 (Russian Federation)
  2. (Germany)
  3. Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw (Poland)
  4. Institut fuer Theoretische Physik, TU Dresden, Mommsenstrasse 13, D-01062 Dresden (Germany)
  5. (Russian Federation)
Publication Date:
OSTI Identifier:
20786256
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.72.062105; (c) 2005 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; ATOMS; CESIUM; CESIUM 133; CONFIGURATION INTERACTION; ELECTRON CORRELATION; FRANCIUM; FRANCIUM 210; FRANCIUM 223; GAUGE INVARIANCE; HARTREE-FOCK METHOD; P INVARIANCE; PARITY; PHOTONS; POLARIZABILITY; POTENTIALS; QUANTUM ELECTRODYNAMICS; RADIATIVE CORRECTIONS; STANDARD MODEL; TRANSITION AMPLITUDES; WEAK INTERACTIONS

Citation Formats

Shabaev, V. M., Max-Planck Institut fuer Physik Komplexer Systeme, Noethnitzer Strasse 38, D-01187 Dresden, Tupitsyn, I. I., Pachucki, K., Plunien, G., Yerokhin, V. A., and Center for Advanced Studies, St. Petersburg State Polytechnical University, Politekhnicheskaya 29, St. Petersburg 195251. Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkali-metal atoms. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Shabaev, V. M., Max-Planck Institut fuer Physik Komplexer Systeme, Noethnitzer Strasse 38, D-01187 Dresden, Tupitsyn, I. I., Pachucki, K., Plunien, G., Yerokhin, V. A., & Center for Advanced Studies, St. Petersburg State Polytechnical University, Politekhnicheskaya 29, St. Petersburg 195251. Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkali-metal atoms. United States. doi:10.1103/PHYSREVA.72.0.
Shabaev, V. M., Max-Planck Institut fuer Physik Komplexer Systeme, Noethnitzer Strasse 38, D-01187 Dresden, Tupitsyn, I. I., Pachucki, K., Plunien, G., Yerokhin, V. A., and Center for Advanced Studies, St. Petersburg State Polytechnical University, Politekhnicheskaya 29, St. Petersburg 195251. Thu . "Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkali-metal atoms". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786256,
title = {Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkali-metal atoms},
author = {Shabaev, V. M. and Max-Planck Institut fuer Physik Komplexer Systeme, Noethnitzer Strasse 38, D-01187 Dresden and Tupitsyn, I. I. and Pachucki, K. and Plunien, G. and Yerokhin, V. A. and Center for Advanced Studies, St. Petersburg State Polytechnical University, Politekhnicheskaya 29, St. Petersburg 195251},
abstractNote = {The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving (PNC) amplitude in cesium and francium is evaluated to all orders in {alpha}Z using a local form of the Dirac-Fock potential. The calculations are performed in both length and velocity gauges for the absorbed photon and the total binding QED correction is found to be -0.27(3)% for Cs and -0.28(5)% for Fr. Moreover, a high-precision calculation of the electron-correlation and Breit-interaction effects on the 7s-8s PNC amplitude in francium using a large-scale configuration-interaction Dirac-Fock method is performed. The obtained results are employed to improve the theoretical predictions for the PNC transition amplitude in Cs and Fr. Using an average value from two most accurate measurements of the vector transition polarizability, the weak charge of {sup 133}Cs is derived to amount to Q{sub W}=-72.65(29){sub exp}(36){sub theor}. This value deviates by 1.1{sigma} from the prediction of the standard model. The values of the 7s-8s PNC amplitude in {sup 223}Fr and {sup 210}Fr are obtained to be -15.49(15) and -14.16(14), respectively, in units of ix10{sup -11}(-Q{sub W})/N a.u.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}
  • The matrix element of a bound electron interacting with the nucleus through exchange of a Z boson is studied for the gauge-invariant case of 2s{sub 1/2}-2p{sub 1/2} transitions in hydrogenic ions. The QED radiative correction to the matrix element, which is -{alpha}/2{pi} in lowest order, is calculated to all orders in Z{alpha} using exact propagators. Previous calculations of the first-order binding correction are confirmed both analytically and by fitting the exact function at low Z. Consequences for the interpretation of parity nonconservation in cesium are discussed.
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  • Calculations are presented of the E1 amplitude expected in the 6 /sup 2/P/sub 1/2/-7 /sup 2/P/sub 1/2/ forbidden M1 transition in Tl if parity conservation is violated in the neutral weak e-N interaction, as proposed in a number of gauge models, including that of Weinberg and Salam. Valence-electron wave functions are generated as numerical solutions to the Dirac equation in a modified Tietz central potential. These wave functions are used to calculate allowed E1 oscillator strengths, hfs splittings, and Stark E1 transition amplitudes. These results are compared with experiment and the agreement is generally good. The relativistic 6 /sup 2/P/submore » 1/2/-7 /sup 2/P/sub 1/2/ M1 transition amplitude M is also calculated, and corrections due to interconfiguration mixing, Breit interaction, and hfs mixing are included. The result, M/sub theor/ = (-3.2 +- 1.0) x 10/sup -5/vertical-bar evertical-barh/2m/sub e/c, is in agreement with the experimental value, M/sub expt/ = (-2.11 +- 0.30) x 10/sup -5/vertical-bar evertical-barh/2m/sub e/c. The parity-nonconserving E1 amplitude E/sub PN/ is calculated, and a value for the circular dichroism, delta approx. = 2Im(E/sub PN,theo/)/M/sub expt/ = 2.6 x 10/sup -3/, is obtained. Parity-nonconserving effects in other Tl transitions are discussed.« less