Relativistic self-energy in nuclear dynamics

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.034325· OSTI ID:20863797

Plohl, O; Fuchs, C ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Tuebingen, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)

It is a well-known fact that Dirac phenomenology of nuclear forces predicts the existence of large scalar and vector mean fields in matter. To analyze the relativistic self-energy in a model independent way, modern high-precision nucleon-nucleon (NN) potentials are mapped on a relativistic operator basis using projection techniques. Comparison of the various potentials at the level of covariant amplitudes produced remarkable agreement. It allows further calculation of the relativistic self-energy in nuclear matter in the Hartree-Fock approximation. Independent of the choice of the nucleon-nucleon interaction large scalar and vector mean fields of several hundred MeV magnitude are generated at tree level. In the framework of chiral effective field theory, these fields are dominantly generated by contact terms that occur at next-to-leading order in the chiral expansion. Consistent with Dirac phenomenology the corresponding low-energy constants that generate the large fields are closely connected to the spin-orbit interaction in NN scattering. The connection to quantum chromodynamics sum rules is discussed as well.

• OSTI ID: 20863797
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
CHIRALITY
COMPARATIVE EVALUATIONS
HARTREE-FOCK METHOD
L-S COUPLING
MEAN-FIELD THEORY
MEV RANGE
NUCLEAR FORCES
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
QUANTUM CHROMODYNAMICS
RELATIVISTIC RANGE
SCALAR FIELDS
SCATTERING
SELF-ENERGY
SUM RULES
VECTOR FIELDS