Spin-orbit coupling in nuclei and realistic nucleon-nucleon potentials

Journal Article · Wed Sep 01 04:00:00 EDT 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.034307· OSTI ID:20695510

Kaiser, N ^[1]

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1. Physik Department T39, Technische Universitaet Muenchen, D-85747 Garching (Germany)

We analyze the spin-orbit coupling term in the nuclear energy density functional in terms of a zero-range NN-contact interaction and finite-range contributions from two-pion exchange. We show that the strength of the spin-orbit contact interaction as extracted from high-precision nucleon-nucleon potentials is in perfect agreement with that of phenomenological Skyrme forces employed in non-relativistic nuclear structure calculations. Additional long-range contributions from chiral two-pion exchange turn out to be relatively small. These explicitly density-dependent contributions reduce the ratio of the isovector to the isoscalar spin-orbit strength significantly below the Skyrme value 1/3. We perform a similar analysis for the strength function of the ({nabla}{rho}){sup 2}-term and find values not far from those of phenomenological Skyrme parametrizations.

• OSTI ID: 20695510
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 70; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHIRAL SYMMETRY
CHIRALITY
DENSITY FUNCTIONAL METHOD
ENERGY LEVELS
ISOVECTORS
L-S COUPLING
NONLINEAR PROBLEMS
NUCLEAR ENERGY
NUCLEAR FORCES
NUCLEAR STRUCTURE
NUCLEON-NUCLEON INTERACTIONS
PIONS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SKYRME POTENTIAL
SPIN
STRENGTH FUNCTIONS