Calculation of parity violating effects in the 6/sup 2/P/sub 1/2/-7/sup 2/P/sub 1/2/ forbidden M1 transition in thallium. [E1 amplitude, circular dichroism, parity violation, hyperfine structure]

Technical Report · Sun May 01 04:00:00 EDT 1977

DOI:https://doi.org/10.2172/7093949· OSTI ID:7093949

Neuffer, D B

Calculations are presented of the E1 amplitude expected in forbidden M1 transitions of Tl and Cs if parity 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 transition rates, hfs splittings, and Stark E1 transition ampitudes. These results are compared with experiment and the agreement is generally good. The relativistic Tl 6/sup 2/P/sub 1/2/-7/sup 2/P/sub 1/2/ M1 transition amplitude M is also calculated, and corrections due to interconfiguration interaction, Breit interaction, and hfs mixing are included. The parity violating E1 amplitude E/sub PV/ is calculated and a value for the circular dichroism in the Weinberg model delta = -2.6 x 10/sup -3/ is obtained. Parity violating effects in other Tl transitions are discussed. Contributions to the M1 amplitude for the forbidden Cs 6/sup 2/S/sub 1/2/-7/sup 2/S/sub 1/2/ and 6/sup 2/S/sub 1/2/-8/sup 2/S/sub 1/2/ transitions and to the Cs 6/sup 2/S/sub 1/2/ g-factor anomaly from relativistic effects, Breit interaction, interconfiguration interaction, and hfs mixing are calculated, and it is found that this current theoretical description is not entirely adequate. The parity violating E1 amplitude E/sub PV/ for the 6S/sub 1/2/-7/sup 2/S/sub 1/2/ and 6S/sub 1/2/-8/sup 2/S/sub 1/2/ transitions is evaluated. With a measured value M/sub expt/ and the Weinberg value Q/sub W/ = -99, a circular dichroism delta = 1.64 x 10/sup -4/ for the 6/sup 2/S/sub 1/2/-7/sup 2/S/sub 1/2/ transition is found.

• Research Organization: California Univ., Berkeley (USA). Lawrence Berkeley Lab.
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7093949
• Report Number(s): LBL-6237
• Country of Publication: United States
• Language: English

Related Subjects

640302 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
74 ATOMIC AND MOLECULAR PHYSICS
ALKALI METALS
AMPLITUDES
CENTRAL POTENTIAL
CESIUM
CORRECTIONS
DIFFERENTIAL EQUATIONS
DIPOLE MOMENTS
DIRAC EQUATION
ELECTRIC DIPOLE MOMENTS
ELECTRIC MOMENTS
ELEMENTS
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FORBIDDEN TRANSITIONS
FUNCTIONS
GYROMAGNETIC RATIO
HYPERFINE STRUCTURE
INVARIANCE PRINCIPLES
MAGNETIC DIPOLE MOMENTS
MAGNETIC MOMENTS
MATHEMATICAL MODELS
METALS
P INVARIANCE
PARTICLE MODELS
RELATIVISTIC RANGE
STARK EFFECT
THALLIUM
UNIFIED GAUGE MODELS
WAVE EQUATIONS
WAVE FUNCTIONS
WEINBERG-SALAM GAUGE MODEL