Enhanced proton-boron nuclear fusion cross sections in intense high-frequency laser fields

We investigate the proton-boron nuclear fusion cross sections under influence of intense linearly polarized monochromatic laser fields with high frequency. First, we rewrite time-dependent Schr\"{o}dinger equation using Kramers-Henneberger (KH) transformation which allows for shifting all time dependence problem into potential function. Then, that satisfy frequency limit, time-averaged scheme in KH framework should be valid. can use WKB approximation to evaluate Coulomb barrier penetrability and then calculate by a phenomenological Gamow form. show corresponding increases significantly due depression barrier. As result, find enhanced effectively depending on dimensionless quantity $n_{\mathrm{d}}$, equals ratio quiver oscillation amplitude geometrical touching radius proton boron nucleus. For $n_{\mathrm{d}}=9$, predict resonance peak cross-section is about $26$ times at incident energy $\varepsilon=148$ keV. And another $\varepsilon=586$ keV, not only but also shifted lower $\varepsilon=392$ keV mechanism over-barrier fusion.