Nucleon-nucleon potentials from Gel'fand-Levitan and Marchenko inversions

Journal Article · Tue Aug 01 04:00:00 EDT 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.912· OSTI ID:5665417

Kirst, T; Amos, K; Berge, L; Coz, M; von Geramb, H V ^[1]

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1. Nuclear Theory, Universitat Hamburg, Luruper Chaussee 149, 2000 Hamburg 50, West Germany School of Physics, University of Melbourne, Parkville, Victoria 3502, Australia Physics Department, University of Kentucky, Lexington, Kentucky 40502 (DE)

Inverse scattering theory for the uncoupled channels of neutron-proton systems is developed from both the Gel'fand-Levitan and Marchenko fundamental equations. A most practical form of that theory is deduced by starting with a rational function representation of the phase shift data. By using Pade approximants for the exponential function {ital e}{sup {ital z}}, rational function representations for the scattering, Jost and spectral functions result. They facilitate accurate numerical solutions of both fundamental equations and from which local, energy-independent channel potentials are obtained. The Reid soft-core potential phase shifts when used as input data give potentials in excellent agreement with the original. Inversion potentials have also been generated by using as input empirical phase shifts and also those from the Paris and Bonn meson exchange interactions. Results are computed for the {sup 1}S{sub 0}, {sup 3}P{sub 0}, {sup 3}P{sub 1}, {sup 1}D{sub 2}, and {sup 1}P{sub 1} channels specifically and the potentials are transformed into central, tensor, spin-orbit, and quadratic spin-orbit radial form factors.

• OSTI ID: 5665417
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:2; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BOUND STATE
BOUNDARY CONDITIONS
COUPLING
EQUATIONS
FORM FACTORS
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
INTERMEDIATE COUPLING
INVERSE SCATTERING PROBLEM
JOST FUNCTION
L-S COUPLING
MATRICES
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PADE APPROXIMATION
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
POTENTIALS
PROTON-NEUTRON INTERACTIONS
PROTON-NUCLEON INTERACTIONS
REID POTENTIAL
S MATRIX
SOFT-CORE POTENTIAL
SPECTRAL FUNCTIONS