Limits on tensor type weak currents from nuclear and neutron $β$~decays

The limits on time-reversal invariant tensor-type weak currents from nuclear and neutron $β$ decays are evaluated including most recent experimental data. We find that $-0.14 \times 10^{-2} < (C_T + C^\prime_T)/C_A < 1.4 \times 10^{-2}$ and $-0.16 < (C_T - C^\prime_T)/C_A < 0.16$ (90% C.L.), while for the case $C_T = C^\prime_T$ the limits are $| C_T/C_A | < 3.7 \times 10^{-3}$. These limits are shown to be more stringent than those from recent measurements of the radiative pion decay. In addition, the sensitivity of future $10^{-3}$-level correlation measurements is investigated.

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