Background. The Gorkov approach to self-consistent Green's function theory has been formulated in [V. Som\`a, T. Duguet, C. Barbieri, Phys. Rev. C 84, 064317 (2011)]. Over the past decade, it become a method of reference for first-principle computations semi-magic nuclear isotopes. currently available implementation is limited second-order self-energy and neglects particle-number non-conserving...
