Probing Axion Nucleon Coupling with Optomechanical Frequency Shift Measurements

The search for non-baryonic dark matter remains a key focus in modern physics, with the light pseudoscalar axion serving as a well-motivated candidate. Here, we present a laboratory-scale detection scheme to constrain axion-nucleon interactions using a levitated optomechanical sensor, complementing conventional spin-precession and inverse-square-law tests. By monitoring a micro-spherical test mass levitated near alternative aluminum and silver substrate mirrors, our dual-channel differential readout extracts the spin-independent force gradient generated by two-axion exchange. This approach translates the short-range interaction directly into a resolvable splitting in the optical transmission peaks. Our evaluation indicates that for symmetric nucleon coupling , the dual-cavity platform establishes competitive upper bounds, improving upon existing constraints by up to two orders of magnitude within the $m_{a}$ in [0.1, 1]eV mass range.