  Recently the YbOH molecule has been suggested as a candidate to search for
the electron electric dipole moment (eEDM) which violates spatial parity (P)
and time-reversal (T) symmetries [I. Kozyryev and N. R. Hutzler, Phys. Rev.
Lett. 119, 133002 (2017)]. In the present paper we show that the same system
can be used to measure coupling constants of the interaction of electrons and
nucleus with axionlike particles. The electron-nucleus interaction produced by
the axion exchange induces T,P-violating a EDM of the whole molecular system.
We express the corresponding T,P-violating energy shift produced by this effect
in terms of the axion mass and product of the axion-nucleus and axion-electron
coupling constants.
