  We have employed both Z-vector method and the expectation value approach in
the relativistic coupled-cluster framework to calculate the scalar-pseudoscalar
(S-PS) P, T -odd interaction constant (W_s) and the effective electric field
(Eeff) experienced by the unpaired electron in the ground electronic state of
RaF. Further, the magnetic hyperfine structure constants of ^{223}Ra in RaF and
^{223}Ra+ are also calculated and compared with the experimental values
wherever available to judge the extent of accuracy obtained in the employed
methods. The outcome of our study reveals that the Z-vector method is superior
than the expectation value approach in terms of accuracy obtained for the
calculation of ground state property. The Z-vector calculation shows that RaF
has a high E_eff (52.5 GV/cm) and W_s (141.2 kHz) which makes it a potential
candidate for the eEDM experiment.
