Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions

Abstract

We derive a novel chiral power counting scheme for in-medium chiral perturbation theory with explicit nucleonic and pionic degrees of freedom coupled to external sources. It allows for a systematic expansion taking into account local as well as pion-mediated inter-nucleon interactions. Based on this power counting, one can identify classes of non-perturbative diagrams that require a resummation. Within this scheme, the pion self-energy in asymmetric nuclear matter is analyzed and calculated up-to-and-including next-to-leading order (NLO). It is shown that the corrections involving in-medium nucleon-nucleon interactions cancel between each other at NLO. As a result, there are no corrections up to this order to the linear density approximation for the in-medium pion self-energy.

16 pages, 7 figures. Final version to match the published one

References in corpus (8)

• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• In-medium nuclear interactions of low-energy hadrons
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Convergence of the Born Series with Low-Momentum Interactions
• Chiral condensate in neutron matter
• Effective Field Theory and Finite Density Systems
• The s-wave pion-nucleus optical potential
• Scales in nuclear matter: Chiral dynamics with pion nucleon form factors

Cited by in corpus (15)

• Equations of state for supernovae and compact stars
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Nucleon-nucleon interactions from dispersion relations: Elastic partial waves
• The existence of a two-solar mass neutron star constrains the gravitational constant G_N at strong field
• Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
• Brief history of the pion-nucleon sigma term
• Light clusters in dilute heavy-baryon admixed nuclear matter
• An in-medium chiral power counting for nuclear matter and some applications
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
• Leading-order nucleon self-energy in relativistic chiral effective field theory