Abstract
The neutron spin rotation induced by parity-violating (PV) components in the nucleon-nucleon potential is studied in $\stackrel{\ensuremath{\rightarrow}}{n}\text{\ensuremath{-}}d$ scattering at zero energy. Results are obtained corresponding to the Argonne ${v}_{18}$ two-nucleon and Urbana-IX three-nucleon strong-interaction potentials in combination with either the Desplanques-Donoghue-Holstein or pionless effective field theory models for the weak-interaction potential. We find that this observable is dominated by the contribution of the long-range part of the PV potential associated with pion exchange. Thus its measurement could provide a further constraint, complementary to that coming from measurements of the photon asymmetry in $\stackrel{\ensuremath{\rightarrow}}{n}\text{\ensuremath{-}}p$ radiative capture, on the strength of this component of the hadronic weak interaction.
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