Calculations of parity violation in forbidden M1 transitions of thallium and cesium
Thesis/Dissertation
·
OSTI ID:6244559
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 amplitudes. 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 epsilon/sub PV/ is calculated and a value for the circular dichroism in the Weinberg model is obtained. Parity violating effects in the 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.
- Research Organization:
- California Univ., Berkeley (USA)
- OSTI ID:
- 6244559
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
651713* -- Nuclear Properties & Reactions
A=90-149
Theoretical-- Energy Levels & Transitions-- (-1987)
651913 -- Nuclear Properties & Reactions
A=190-219
Theoretical-- Energy Levels & Transitions-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALI METALS
CESIUM
CONFIGURATION MIXING
DATA
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
E1-TRANSITIONS
ELECTRON-NUCLEON INTERACTIONS
ELEMENTS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FUNCTIONS
HYPERFINE STRUCTURE
INFORMATION
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
M1-TRANSITIONS
MATHEMATICAL MODELS
METALS
MULTIPOLE TRANSITIONS
NUMERICAL DATA
NUMERICAL SOLUTION
P INVARIANCE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
STARK EFFECT
THALLIUM
THEORETICAL DATA
UNIFIED GAUGE MODELS
WAVE EQUATIONS
WAVE FUNCTIONS
A=90-149
Theoretical-- Energy Levels & Transitions-- (-1987)
651913 -- Nuclear Properties & Reactions
A=190-219
Theoretical-- Energy Levels & Transitions-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALI METALS
CESIUM
CONFIGURATION MIXING
DATA
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
E1-TRANSITIONS
ELECTRON-NUCLEON INTERACTIONS
ELEMENTS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FUNCTIONS
HYPERFINE STRUCTURE
INFORMATION
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
M1-TRANSITIONS
MATHEMATICAL MODELS
METALS
MULTIPOLE TRANSITIONS
NUMERICAL DATA
NUMERICAL SOLUTION
P INVARIANCE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
STARK EFFECT
THALLIUM
THEORETICAL DATA
UNIFIED GAUGE MODELS
WAVE EQUATIONS
WAVE FUNCTIONS