Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach

Abstract

The properties of symmetric nuclear and pure neutron matter are investigated within an extended self-consistent Green's function method that includes the effects of three-body forces. We use the ladder approximation for the study of infinite nuclear matter and incorporate the three-body interaction by means of a density-dependent two-body force. This force is obtained via a correlated average over the third particle, with an in-medium propagator consistent with the many-body calculation we perform. We analyze different prescriptions in the construction of the average and conclude that correlations provide small modifications at the level of the density-dependent force. Microscopic as well as bulk properties are studied, focusing on the changes introduced by the density dependent two-body force. The total energy of the system is obtained by means of a modified Galitskii-Migdal-Koltun sum rule. Our results validate previously used uncorrelated averages and extend the availability of chirally motivated forces to a larger density regime.

17 pages, 11 figures

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• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
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• Properties of neutron star described by a relativistic $abinitio$ model
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
• Estimates and power counting in uniform matter with softened interactions