A SPHERICAL TENSOR TREATMENT OF GELL-MANN'S $sub 4$WEAK MAGNETISM$sub 4$ EFFECT IN NUCLEAR BETA-DECAY SPECTRA

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1963

OSTI ID:4101761

Huffaker, J N

Beta-decay spectra for Gamow-Teller allowed and firstforbidden unique selection rules are calculated according to the conserved vector current (CVC) theory of weak interactions. In particular, the spectral effect of the pionic term proposed by Gell-Mann (the Gell-Mann effect) is calculated. Methods of calculation involve the use of spherical tensor operators, Coulomb wave functions for electrons, and a Foldy-Wouthuysen transformation to remove odd nuclear operators. The accuracy of the treatment is such that all second-forbidden corrections to the allowed spectrum, and all third-forbidden corrections to the firstforbidden spectrum, are included. The result for the Gamow-Teller allowed spectrum does not differ much from previously calculated spectra, obtained with both plane waves and Coulomb wave functions. In the case of the firstforbidden unique spectrum, the result for the Gell-Mann effect differs considerably from the previous plane-wave result. The calculated spectra are used to analyse the spectra of B/sup 12/, N/sup 12/, N/sup 16/, and Tl/sup 204/. (Dissertation Abstr

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-18-009434
• OSTI ID: 4101761
• Country of Publication: Country unknown/Code not available
• Language: English

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