Complex energy-based description of alpha-cluster lifetime in intense laser fields

The phenomenon of laser-assisted alpha decay is studied within the framework of non-Hermitian quantum theory integrated with the ( t , t ′)-formalism. The width and the lifetime of the alpha cluster of a specific isotope is extracted from the spectrum of the complex-scaled Hamiltonian operator of the nuclear system and estimated numerically. The laser-field-induced correction to the lifetime is computed by first-order ( t , t ′)-perturbation calculation with regard to different polarization states and control parameters of the external laser field, adjusting appropriate intensity and photon energy pairs by examining the limit of the non-relativistic approximation of the problem.