  The final analysis of the experiment determining both components of the
transverse polarization of electrons ($\sigma_{T_{1}}$, $\sigma_{T_{2}}$)
emitted in the $\beta$-decay of polarized, free neutrons is presented. The
T-odd, P-odd correlation coefficient quantifying $\sigma_{T_{2}}$,
perpendicular to the neutron polarization and electron momentum, was found to
be $R=$ 0.004$\pm0.012\pm$0.005. This value is consistent with time reversal
invariance, and significantly improves both earlier result and limits on the
relative strength of imaginary scalar couplings in the weak interaction. The
value obtained for the correlation coefficient associated with
$\sigma_{T_{1}}$, $N=$ 0.067$\pm0.011\pm$0.004, agrees with the Standard Model
expectation, providing an important sensitivity test of the experimental setup.
The present result sets constraints on the imaginary part of scalar and tensor
couplings in weak interaction. Implications for parameters of the leptoquark
exchange model and minimal supersymmetric model (MSSM) with R-parity violation
are discussed.
