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Application of many-body perturbation theory to weak interactions in alkali atoms

Thesis/Dissertation ·
OSTI ID:7194081
Many-body perturbation theory (MBPT) is applied to calculations of energies, allowed transition amplitudes, hyperfine constants, parity-violating amplitudes, and electric-dipole-moment enhancement factors. The hyperfine constants and the transition amplitudes are calculated to third order, whereas, valence-ionization energies and weak-interaction effects are evaluated only to second order. Agreement with experiment at the 1% level is found for the hyperfine constants, allowed-transition amplitudes, and valence energies in all the atoms considered. The parity-violating E1 amplitude in cesium for 6s ..-->.. 7s transition is found to be Im(E1) = (0.890 +/- 0.085) x 10/sup -11/(ea/sub 0/ Q/sub w//N), and the parity-violating E1 amplitude in thallium for the 6p1/2 ..-->.. 7p1/2 transition is found to be Im(E1) = (-0.971 +/- 0.085) x 10/sup -10/(ea/sub 2/ Q/sub w//N), where Q/sub w/ is the weak charge of the nucleus and N is the number of neutrons. These amplitudes are in good agreement with the corresponding experimental values for Cs and Tl. Comparisons of the present results with other calculations and with experimental data are presented, discussed, and conclusions are drawn.
Research Organization:
Notre Dame Univ., IN (USA)
OSTI ID:
7194081
Country of Publication:
United States
Language:
English