Sub Coulomb barrier d+$^{208}$Pb scattering in the time-dependent basis function approach

Understand

We employ the non-perturbative time-dependent basis function (tBF) approach to study the scattering of the deuteron on $^{208}$Pb below the Coulomb barrier.

• We obtain the bound and discretized scattering states of the projectile, which form the basis representation of the tBF approach, by diagonalizing a realistic Hamiltonian in a large harmonic oscillator basis.
• We find that the higher-order inelastic scattering effects are noticeable for sub barrier scatterings with the tBF method.
• We have successfully reproduced experimental sub Coulomb barrier elastic cross section ratios with the tBF approach by considering only the electric dipole ($\mathit{E1}$) component of the Coulomb interaction between the projectile and the target during scatterings.