The Long Journey from Ab Initio Calculations to Density Functional Theory for Nuclear Large Amplitude Collective Motion

摘要

At present there are two vastly different ab initio approaches to thedescription of the the many-body dynamics: the Density Functional Theory (DFT)and the functional integral (path integral) approaches. On one hand, ifimplemented exactly, the DFT approach can allow in principle the exactevaluation of arbitrary one-body observable. However, when applied to LargeAmplitude Collective Motion (LACM) this approach needs to be extended in orderto accommodate the phenomenon of surface-hoping, when adiabaticity is stronglyviolated and the description of a system using a single (generalized) Slaterdeterminant is not valid anymore. The functional integral approach on the otherhand does not appear to have such restrictions, but its implementation does notappear to be straightforward endeavor. However, within a functional integralapproach one seems to be able to evaluate in principle any kind of observables,such as the fragment mass and energy distributions in nuclear fission. Thesetwo radically approaches can likely be brought brought together by formulatinga stochastic time-dependent DFT approach to many-body dynamics.