A new on-shell 3-to-3 collision integral for identical fermions is derived, and model calculations find it reduces nuclear matter relaxation times by up to a factor 3 versus two-body collisions alone.
Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
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abstract
The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA (SCRPA). The role of the Pauli principle is analyzed. A comparison among various approaches to include Pauli correlations, in particular, renormalized RPA (r-RPA), is performed. The thermodynamic properties of nuclear matter are studied with several cluster approximations for the self-energy of the single-particle Dyson equation. More particle RPA's are shortly discussed with a particular attention to the alpha-particle condensate. Results obtained concerning the Three-level Lipkin, Hubbard and Picket Fence Models, respectively, are outlined. Extended second RPA (ESRPA) is presented.
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Quantum correlation dynamics and in-medium 3$\leftrightarrow$3 collisions of fermions
A new on-shell 3-to-3 collision integral for identical fermions is derived, and model calculations find it reduces nuclear matter relaxation times by up to a factor 3 versus two-body collisions alone.