Chiral effective field theory for nuclear matter with long- and short-range multi-nucleon interactions

2009/02/28 by J. A. Oller, J A Oller, A Lacour +3
Physics and Astronomy · #Chiral perturbation theory #Degrees of freedom (physics and chemistry) #Effective field theory #Field (mathematics) #Field theory (psychology) #High-Energy Particle Collisions Research #Nuclear matter #Nuclear physics research studies #Order (exchange) #Perturbation theory (quantum mechanics) #Pion #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1088/0954-3899/37/1/015106

published as J.Phys.G37:015106,2010 · 16 pages, 7 figures. Final version to match the published one

arxiv created 2009/11/16 · openalex publication_date 2009/12/02 · arxiv updated 2010/01/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Optical properties of low-energy pions in nuclei
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• In-medium modification of the isovector pion–nucleon amplitude
• Chiral perturbation theory to one loop
• In-medium nuclear interactions of low-energy hadrons
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• Deriving the quark condensate within a finite Fermi system from the generating functional of chiral perturbation theory
• Three- and Four-Nucleon Systems from Chiral Effective Field Theory
• s-wave pion-nucleus optical potential
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Chiral Dynamics in Nucleons and Nuclei
• Quantum hadrodynamics
• Phenomenological Lagrangians
• Broken Symmetries