Abstract
We discuss recent ab initio calculations based on self-consistent Green’s function theory. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate non-soft interactions. With this, it is possible to make predictions for Lattice QCD potentials, obtained so far at pion masses of mπ = 0.47 GeV/c2. More traditional calculations that use saturating chiral EFT forces yield a good description of nuclear responses and nucleon knockout spectroscopy.
Highlights
Ab initio nuclear theory has seen remarkable advances in the last 15 years
In the following we describe a few very recent applications based on nuclear forces obtained either directly from Lattice QCD calculations or from chiral effective field theory (EFT)
For the bare HAL469 interaction, if we use the self consistent Green’s function (SCGF) without ladder diagrams from outside the model space, the extrapolation according to Eq (6) will fail because the short-distance repulsion requires extremely large model spaces (Nmax >> 20) to reach UV convergence, see the left panel of Figure 1
Summary
Ab initio nuclear theory has seen remarkable advances in the last 15 years. These resulted from the combination of improved theories of realistic two-nucleon (NN) and three-nucleon forces (3NFs) and of advances in many-body computations that have reached nuclear masses of the order of A∼100 [1]. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate non-soft interactions.
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