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The effects induced by the time-reversal (T) and spatial parity (P) violating electron-nucleus and electron-electron interactions mediated by the axion-like particles (ALPs) in the BaF molecule were estimated. Molecular parameters characterizing these interactions were calculated across a wide range of ALP masses. In case of the electron-nuclear interaction, the effect of the extended nucleus was studied and shown to be significant for heavy ALPs. Based on the calculated molecular parameters, we obtained a link between the T, P-violating energy shift which can be measured in the ongoing experiment designed to search for the electron electric dipole moment using the BaF molecule A. Boeschoten et al. , arXiv: 2303. 06402 (2023) and the products of coupling constants of the ALP-electron or ALP-electron and ALP-nucleus interactions.
Prosnyak et al. (Sun,) studied this question.