Estimates and power counting in uniform matter with softened interactions
A. Dyhdalo, S.K. Bogner, R.J. Furnstahl
TL;DR
This paper develops a method to estimate diagrammatic contributions in uniform nuclear matter with softened interactions, aiding the formulation of a systematic power counting scheme for many-body calculations.
Contribution
It introduces a quantitative approach to estimate particle-particle and hole-hole contributions and evaluates the impact of three-body forces in soft interaction models.
Findings
Particle-particle and hole-hole contributions can be quantitatively estimated.
Normal-ordered three-body forces have a significant role in contact interactions.
The approach facilitates systematic power counting in nuclear many-body theory.
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.
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