Electronic structure of the ytterbium monohydroxide molecule to search for axionlike particles

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