Geodesic
Can the Goldberger--Treiman relation be derived for massless pions?
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 146-148

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It is shown that conservation of the axial isovector current in the limit $m_\pi\to 0$ leads to a definite relationship between the $\beta$-decay constants and the constants of the $a_1$ meson but not to the Goldberger–Treiman relation. 
@article{TMF_1991_88_1_a18,
     author = {A. V. Kiselev and V. A. Petrov},
     title = {Can the {Goldberger--Treiman} relation be derived for massless pions?},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {146--148},
     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a18/}
}
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A. V. Kiselev; V. A. Petrov. Can the Goldberger--Treiman relation be derived for massless pions?. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 146-148. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a18/