  BaF is one of the potential candidates for the experimental search of the
electric dipole moment of the electron (eEDM). The NL-eEDM collaboration is
building a new experimental set up to measure the eEDM using the BaF molecule
[The NL-eEDM collaboration, Eur. Phys. J. D (2018) 72: 197]. To analyze the
results of such an experiment, one would require the accurate value of the
molecular ${\mathcal{P,T}}$-odd interaction parameters that cannot be measured
from any experiment. In this work, we report the precise value of the
${\mathcal{P,T}}$-odd interaction parameters of the BaF molecule obtained from
the four-component relativistic coupled-cluster calculations. We also calculate
the hyperfine structure (HFS) constants of the same molecule to assess the
reliability of the reported molecular parameters. The calculated HFS constants
show good agreement with the available experimental values. Further, the
systematic effects of electron-correlation along with the roles of inner-core
electrons and the virtual energy functions in the calculation of the studied
properties of BaF are investigated.
