Summary
We give a method for evaluating matrix elements in a bare particle representation of arbitrary operator functions of the pion field operator, with special reference to the functions arising from the equivalence transformation of the leptonic and electromagnetic couplings of nucleons.
Riassunto
Diamo un metodo per calcolare gli elementi di matrice in una rappresentazione in termini di particelle nude di funzioni operatrici arbitrarie dell’operatore di campo del pione, con speciale riferimento alle funzioni che nascono dalla trasformazione equivalente degli accoppiamenti leptonici ed elettromagnetici dei nucleoni.
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References
J. M. Berger, L. Foldy andR. K. Osborn:Phys. Rev.,87, 1061 (1952).
G. Barton:Phys. Rev. Lett.,2, 224 (1959).
Somewhat similar considerations occur in the paper byS. Gotō andS. Machida:Prog. Theor. Phys.,20, 216 (1958).
For a covariant treatment of the equivalence transformation seeJ. S. R. Chisholm andG. M. Dixon:Nuovo Cimento,9, 125 (1958).
S. Albertoni andF. Duimio:Nuovo Cimento:6, 1193 (1957); and references given there.
M. J. Lighthill:Introduction to Fourier Analysis and Generalised Functions (Cambridge, 1958).
S. Gartenhaus andC. Schwartz:Phys. Rev.,108, 482 (1957).
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Barton, G. Operator functions of the pion field operator. Nuovo Cim 13, 363–370 (1959). https://doi.org/10.1007/BF02732945
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DOI: https://doi.org/10.1007/BF02732945