Small fermionic systems: The common methods and challenges

Abstract

Abstract. We discuss three finite Fermion systems in comparison: nuclei, metal clusters, and droplets of liquid 3 He. A principle sorting in "natural units" of energy and length scales is given. We address the theoretical description in terms of self-consistent mean-field theories and their effective energy-density functionals. We look at the interplay of the different time scales from the various constituents of either system. Finally, we discuss the prospects of more detailed experimental analysis for the case of metal clusters, in particular in the non linear domain where truly dynamical behaviors are expected.

Limiting Temperatures in Multifragmentation

“…A qualitative understanding can be obtained from the time scales of evaporation processes. Temperatures between 4 and 6 MeV correspond very generally to nuclear life times of the order of 50 to 200 fm/c [16,17] which cover the range of time scales deduced for fragmentation reactions.…”

Simple Models of Many-Fermion Systems

“…Adapted from [73] on the basis of this simple picture of fermions inside a container potential, whatever its origin. Some cases are obvious, as for example atoms, in which electrons are bound in the field of the central nucleus if one neglects repulsive Coulomb effects between the electrons.…”