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- W60842180 abstract "Empirical evidence on the shapes of first- and second-forbidden spectra is surveyed to determine the linear combination of invariants in the $ensuremath{beta}$-decay interaction. Absence of $frac{1}{W}$ terms in allowed shape first-forbidden spectra excludes combinations $mathrm{SA}$ and $mathrm{VT}$. Spectrum shapes for $ensuremath{Delta}I=2$, no, transitions exclude $mathrm{VA}$ and indicate that for negatron emission the relative algebraic sign of the terms is ($Sensuremath{-}T$). These spectra also indicate the need for considerable correction of nuclear matrix element estimates because of the presence of pseudoscalar-coupled forces in the nucleus. Extrapolation of these empirical corrections to the case of RaE shows that the full linear combination should be [$Sensuremath{-}T+(frac{1}{ensuremath{delta}})P$], where $ensuremath{delta}$ is positive and of order unity. Arguments based on symmetry principles indicate that the correct interaction should in fact be ($Sifmmodepmelsetextpmfi{}T+P$), where ifmmodepmelsetextpmfi{} refers to ${ensuremath{beta}}^{ifmmodepmelsetextpmfi{}}$ emission. The effects of the difference in sign of the $T$ term should in principle be observable. This law for $ensuremath{beta}$ decay is compared with the decay of the $ensuremath{mu}$ meson, and it is found that if the linear combinations are the same, the coupling constants also have identical absolute values. The mean coupling constant is $|f|=1.44ifmmodetimeselsetexttimesfi{}0.04ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}49}$ erg ${mathrm{cm}}^{3}$. The chief experimental doubt concerns the $ensuremath{mu}$-meson spectrum, which is expected to go through zero at its end point if the $ensuremath{beta}$ and $ensuremath{mu}$ interactions are identical. It appears possible to deduce the combination ($Sensuremath{-}T+P$) uniquely from the postulates that the neutrino field is (1) unique; (2) massless; (3) part of a universal four-particle interaction." @default.
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- W60842180 date "1953-09-15" @default.
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- W60842180 title "The Linear Combination inβDecay" @default.
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- W60842180 doi "https://doi.org/10.1103/physrev.91.1447" @default.
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