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The Axial Vector Current in Beta Decay

Gell-Mann, M. and Lévy, M. (1960) The Axial Vector Current in Beta Decay. il Nuovo Cimento, 16 (4). pp. 705-726. ISSN 1827-6121.

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In order to derive in a convincing manner the formula of Goldberger and Treiman for the rate of charged pion decay, we consider the possibility that the divergence of the axial vector current in β-decay may be proportional to the pion field. Three models of the pion-nucleon interaction (and the weak current) are presented that have the required property. The first, using gradient coupling, has the advantage that it is easily generalized to strange particles, but the disadvantages of being unrenormalizable and of bringing in the vector and axial vector currents in an unsymmetrical way. The second model, using a strong interaction proposed by Schwinger and a weak current proposed by Polkinghorne, is renormalizable and symmetrical between V and A, but it involves postulating a new particle and is hard to extend to strange particles. The third model resembles the second one except that it is not necessary to introduce a new particle. (Renormalizability in the usual sense is then lost, however). Further research along these lines is suggested, including consideration of the possibility that the pion decay rate may be plausibly obtained under less stringent conditions.

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Additional Information:© 1960 Springer. ricevuto il 19 Febbraio 1960. Supported in part by the Alfred P. Sloan Foundation and by the United States Air Force through the European Office, Air Research and Development Command. National Science Foundation Senior Postdoctoral Fellow.
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Air Research and Development CommandUNSPECIFIED
NSF Postdoctoral FellowshipUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20150925-105509653
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Official Citation:The axial vector current in beta decay M. Gell-Mann, M. Lévy in Il Nuovo Cimento (1955-1965) (1960)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60518
Deposited By: Ruth Sustaita
Deposited On:25 Sep 2015 18:42
Last Modified:03 Oct 2019 08:57

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