Boost-invariant mean field approximation and the nuclear Landau-Zener effect

Abstract

We investigate the relation between time-dependent Hartree-Fock (TDHF) states and the adiabatic eigenstates by constructing a boost-invariant single-particle Hamiltonian. The method is numerically realized within a full three-dimensional TDHF which includes all the terms of the Skyrme energy functional and without any symmetry restrictions. The study of a free translational motion of a nucleus demonstrates the validity of the concept of boost-invariant and adiabatic TDHF states. The interpretation is further corroborated by the test case of fusion of ${}^{16}\text{O}$+${}^{16}\text{O}$. As a first application, we present a study of the nuclear Landau-Zener effect on a collision of ${}^4\text{He}$+${}^{16}\text{O}$.

Comments: 8 pages, 3 figures