Carlo Barbieri (U. Milan)
New Advances in self-consistent Green's function with Gorkov propagators
 
The Gorkov-SCGF approach was introduced in Nuclear Physics about 10 years ago as an efficient way to handle pairing and degeneracies in open shell isotopes. It has since been applied to several ab initio computations, reaching up to mass A=140 numbers. Original computations have been limited to second-order truncations of the Gorkov self-energy. In recent months, we have reformulated the formalism in a Nambu-covariant representation, which allows us to extend the Gorkov-SCGF equations to 3rd order truncations of the self-energy and including three-body forces. An order of magnitude increase in the precision of correlation energies and single-particle spectroscopy is expected for semi-magic nuclei.