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We investigate the α-decay of a spherical nucleus under the influence of an ultra-intense laser field for the case when the radius vector joining the centerof-masses of the α-particle and the daughter is aligned with the direction of the external field. The time-independent part of the α-daughter interaction is taken from elastic scattering compilations whereas the time-varying part describes the interaction between the decaying system with the laser field. The time-dependent Schrödinger equation is solved numerically by appealing to a modified scheme of the Crank-Nicolson type where an additional first-order time derivative appears compared to the field-free case. The tunneling probability of the α-cluster, and derived quantities (decay rate, total flux) is determined for various laser intensities and frequencies for either continous waves or few-cycle pulses of envelope function F (t) = 1. We show that in the latter case pulse sequences containing an odd number of half-cycles determine an enhancement of the tunneling probability compared to the field-free case and the continuous wave case. The present study is carried out taking as example the alpha decaying nucleus 106 Te.

The electromagnetic radiation during the non-uniform motion of the fragments resulting from the α-decay of a heavy nucleus is computed in a time-dependent quantum formalism. The dynamical characteristics of the α-particle such as position, velocity and acceleration are computed by taking average values of the position and momentum operators and next the bremsstrahlung emission is determined by resorting to the classical formula for the radiation power. The contribution of the α-particle intra-barrier motion to the total bremsstrahlung yield is evaluated and some hints are given for the case when one considers α-decay from the ground state.

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