Semiclassical analysis of axionlike particle emission via nonlinear Compton-like scattering in intense laser fields

We investigate the production of axionlike particles through nonlinear Compton-like scattering in intense laser fields using the Baier-Katkov operator method. By explicitly constructing the eikonal spinor wave function, we utilize the semiclassical nature of relativistic electrons, which simplifies the theoretical derivation and circumvents the need to evaluate certain operator products. The spin-resolved axion emission rate is obtained within the locally constant field approximation. Explicit calculations demonstrate that the radiation yield is dominated by the electron’s transverse acceleration, driven by the magnetic field and by the component of the electric field perpendicular to the instantaneous electron velocity. The electron spin dependence of the axion emission rate is found to differ significantly from that of photon emission by analytically examining the asymptotic behavior of the radiation in both the weak- and strong-field limits and by numerically exploring the intermediate regime. The derived spin-resolved axion emission rate can be directly incorporated into existing semiclassical Monte Carlo algorithms developed for strong-field photon processes, enabling efficient modeling of axionlike particle generation. Our results provide promising avenues for the experimental detection and control of axionlike particles with high-intensity laser facilities.