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

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

2007-03-26

arxiv.org/abs/nucl-th/0703082v2

Phys.Rev.C76:014601,2007

Physics

Nuclear Physics

Nuclear Theory

8 pages, 3 figures

Scientific paper

10.1103/PhysRevC.76.014601

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 $^{16}{\textrm O}$+$^{16}{\textrm O}$. As a first application, we present a study of the nuclear Landau-Zener effect on a collision of $^{4}{\textrm {He}}$+$^{16}{\textrm O}$.

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