The in-medium few-body problem

摘要: We are concerned with few-particle correlations in a fermionic system at finite temperature and density. Within the many-body Green functions formalism description of is provided by Dyson equation approach that leads to effective few-body equations. They contain dominant medium effects, which self energy corrections Pauli blocking. Hence two-body interactions between quasiparticles momentum/energy-dependent therefore they can be usesed modified, momentum space, integral AGS equations for three- four-body systems. To investigate clusters beyond four-body, we employ, instead, configuration space two-variable integro-differential (IDEA) $A$-body bound systems based on Hyperspherical Harmonics Faddeev decomposition wave function amplitudes. This requires transformation dependent equivalent local, independent, ones. achieve this use inverse scattering techniques resulting being, on-- (to all practical purposes) off--shell potentials. In way obtain binding results 2--, 3--, 4--, 16--particle various densities. Several aspects problem discussed behavior potential surfaces obtained extreme adiabatic approximation, below above Mott transition, investigated.