Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter

Abstract

We renormalize the two-nucleon interaction at leading order (LO) in chiral perturbation theory using the scheme proposed by Nogga, Timmermans, and van Kolck--also known as modified Weinberg counting. With this interaction, we calculate the energy per nucleon of symmetric nuclear matter in the Brueckner pair approximation and obtain a converged, cutoff-independent result that shows saturation, but also substantial underbinding. We find that the renormalized LO interaction is characterized by an extraordinarily strong tensor force (from one-pion exchange), which is the major cause for the lack of binding. The huge tensor force also leads to the unusually large wound integral of 40% in nuclear matter, which implies a very slow convergence of the hole-line or coupled-cluster expansion, rendering this interaction impractical for many-body calculations. In view of the unusual properties of the renormalized LO interaction and in view of the poor convergence of the nuclear many-body problem with this interaction, there is doubt if this interaction and its predictions can serve as a reasonable and efficient starting point that is improved by perturbative corrections.

13 pages, 3 figures; references added, discussion slightly extended; final version to be published in PRC

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Cited by in corpus (22)

• Chiral effective field theory and nuclear forces
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Properties of the nuclear medium
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Nonperturbative renormalization of the chiral nucleon-nucleon interaction up to next-to-next-to-leading order
• Selecting microscopic Equations of State
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Nuclear matter properties with nucleon-nucleon forces up to fifth order in the chiral expansion
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Clustering of Four-Component Unitary Fermions
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Nuclear Effective Field Theories: Reverberations of the early days
• Decoupling of Spurious Deep Bound States with the Similarity Renormalization Group
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion
• Can the strong interactions between hadrons be determined using femtoscopy?
• Effective range expansion in various scenarios of EFT($\notpi$)
• Covariant propagator and chiral power counting
• Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory