Resonant tunneling of deuteron-triton fusion in strong high-frequency electromagnetic fields

Abstract

We investigate deuteron-triton (DT) fusion in the presence of linearly polarized strong electromagnetic fields in the high-frequency limit, in which a complex spherical square-well potential is exploited to describe the nuclear potential. Within the framework of the Kramers-Henneberger (KH) transformation, we have calculated the total and angular differential fusion cross sections by investigating the asymptotical phase shifts of the Coulomb wave functions. Introducing a dimensionless quantity ${n}_{\mathrm{d}}$ representing the ratio of the particle quiver oscillation amplitude to the radius of nuclear potential, we find that, even though the tunneling probability of passing through the Coulomb repulsive potential remains almost identical to that in the absence of electromagnetic fields, the peaks of total cross sections and corresponding astrophysical $S$ factors show apparent shifts. For ins- tance, the peak of the astrophysical $S$ factor shifts from the well known value of 110 keV to 50 keV for ${n}_{\mathrm{d}}=0.15$. The angular differential cross sections also show some resonance peaks that shift from zero inclination angle to $\ensuremath{\pi}/2$ with increasing the parameter ${n}_{\mathrm{d}}$. With the help of Wentzel-Kramers-Brillouin (WKB) approximate wave functions, the shape-resonance tunneling mechanism of the above findings is uncovered and some implications are discussed.