Figure 1

Time ordered diagrams included in the different approximations for the self-energy. In the second-order perturbative approximation (a), the bare potential (dashed line) is replaced by a Brueckner $G$ matrix (wiggly line). The quasiparticle approximation includes hole-hole scattering of quasiparticles to all orders (b), and the self-consistent approximation includes hole-hole scattering also off shell (c).Reuse & Permissions

Figure 2

(Color online) Imaginary part of the nuclear-self energy in nuclear matter at $0.5{\rho }_0$. The perturbative $2h1p$ result (dashed line) is compared to the quasiparticle Green's function (QPGF) approximation (dashed-dotted line) and the full SCGF result (solid line). The momentum is $0.2k_F$ in the left panel and about $2k_F$ in the right panel.Reuse & Permissions

Figure 3

(Color online) Spectral function in the ${}^{12}\mathrm{C}$ nucleus. Left panel: Experimental result for several momenta above the Fermi momentum (solid lines with error bars). The data are similar to those presented in Ref. 7, but the choice $cc$ was used for ${\sigma }_{ep}$ instead of $cc1$. The dashed lines represent the SCGF nuclear matter spectral function at a density of $\rho =0.08{\mathrm{fm}}^{-3}$. To compare the nuclear matter spectral function with the experimental result, it must be multiplied by a normalization factor of $4Z{\left(2\pi \right)}^{-4}{\rho }^{-1}$. Right panel: A comparison among the experimental result at $k=410\mathrm{MeV}$ (solid lines with error bars), the theoretical spectral functions for a finite system by Benhar et al. [17] (dashed line), and the SCGF result (solid line).Reuse & Permissions