Estimates and power counting in uniform matter with softened interactions

Abstract

Modern softened nucleon-nucleon interactions are well-suited for perturbative many-body calculations, but a many-body power counting scheme is lacking. Estimates of diagrammatic contributions at finite density are important ingredients in such a scheme. Here we show how to make quantitative estimates of the particle-particle and hole-hole channel in uniform nuclear matter for soft interactions. We also use estimates to assess the role of normal-ordered three-body forces for a pure contact interaction.

arXiv comment36 pages, 12 figures

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Cited by in corpus (4)

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• Properties of nuclei up to $A=16$ using local chiral interactions
• In-medium $k$-body reduction of $n$-body operators
• Turning the nuclear energy density functional method into a proper effective field theory: reflections