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Possible solution to basic problems regarding the coupling constants $G_V$ and $G_A$

V. P. Gudkov·K. Kubodera
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Abstract

The existing experimental evidence on the vector and axial-vector coupling constants, $G_V$ and $G_A$, for neutron $β$-decay exhibits two prominent problems: (i) the unitarity for the first row of the CKM matrix seems violated; (ii) one obtains different values of $G_A/G_V$ according to whether one uses as input the neutron lifetime or neutron-decay correlation observables. We show that the in-medium modification of $G_A$ can influence both the inner and outer radiative corrections used in deducing $G_V$ from the super-allowed Fermi transitions and that this effect may resolve the long-standing problems (i) and (ii) simultaneously.

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V. P. Gudkov, K. Kubodera. 1997-10-16. Possible solution to basic problems regarding the coupling constants $G_V$ and $G_A$. https://arxiv.org/abs/nucl-th/9706074

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