Calculation of parity-nonconserving effects in the 6 /sup 2/P/sub 1/2/-7 /sup 2/P/sub 1/2/ forbidden M1 transition in thallium

Journal Article · Thu Sep 01 00:00:00 EDT 1977 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.16.844· OSTI ID:7214263

Neuffer, D V; Commins, E D

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/sub 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.

• Research Organization: Physics Department, University of California, Berkeley, California 94720
• OSTI ID: 7214263
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 16:3; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTS
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FORBIDDEN TRANSITIONS
INVARIANCE PRINCIPLES
METALS
NUMERICAL SOLUTION
OSCILLATOR STRENGTHS
P INVARIANCE
THALLIUM
WAVE EQUATIONS