Shape factors for β-decay

Banerjee, M. K. ; Saha, A. K. (1954) Shape factors for β-decay Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 224 (1159). pp. 472-487. ISSN 0962-8444

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Expressions for the shape factors of the Lth degree of forbidden β-transition were given by Greuling (1942) for the pure interactions and by Pursey (1951) for different mixtures of the pure forms. The same results have been derived here by a method due to Spiers & Blinstoyle (1952) and formulated neatly in terms of three parameters, (a) ξ giving the spatial covariance, (b) η giving the spatial parity and (c) ζ giving the space-time parity. The results readily point out that the correct form of interaction in the β -processes is either a STP combination or a VA combination. It has been concluded that the proper way of setting up the β -interaction is to require that all the Dirac covariants, whose scalar products appear in the Hamiltonian, must behave in the same way under space-time reflexion. A brief sketch of the principal mathematical tools required in the method of Spiers & Blinstoyle has also been given.

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