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

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.024001· OSTI ID:21386583

Machleidt, R; Liu, P ^[1]; Entem, D R ^[2]; Arriola, E Ruiz ^[3]

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1. Department of Physics, University of Idaho, Moscow, Idaho 83844 (United States)
2. Grupo de Fisica Nuclear, IUFFyM, Universidad de Salamanca, E-37008 Salamanca (Spain)
3. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)

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 that this interaction and its predictions can serve as a reasonable and efficient starting point that is improved by perturbative corrections.

• OSTI ID: 21386583
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevC.81.024001; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
CHIRALITY
CLUSTER EXPANSION
COMPUTERIZED SIMULATION
CONVERGENCE
CORRECTIONS
FORECASTING
INTEGRALS
MANY-BODY PROBLEM
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
PERTURBATION THEORY
PIONS
RENORMALIZATION
SATURATION
SYMMETRY
TENSOR FORCES
BARYON-BARYON INTERACTIONS
BARYONS
BOSONS
CALCULATION METHODS
ELEMENTARY PARTICLES
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATTER
MESONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
SERIES EXPANSION
SIMULATION