Phenomenological local nucleon-nucleon potentials obtained from the inverse scattering problem at a fixed energy

Journal Article · Sun Jan 01 00:00:00 EST 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.29.20· OSTI ID:5169344

Hooshyar, M A; Razavy, M

An approximate method of determining the central, the spin-orbit, and the tensor parts of a local nucleon-nucleon interaction from the dependence of the eigenphase shifts and the mixing parameter on the total angular momentum J is studied. With the assumption that the tensor force is zero at the origin, the wave equation is transformed into a differential equation which can accurately be approximated by a matrix difference equation. The finite difference analog of the scrR matrix obtained from the solution of this matrix difference equation has a unique continued fraction expansion which enables one to obtain the central, the spin-orbit, and the tensor potentials provided that the exchange characters of all of the forces are specified. Model calculations are presented to show the utility and the accuracy of the method and a brief discussion is given about the possibility of extension of the inverse problem to include certain nonstatic potentials.

• Research Organization: Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada, T6G2J1
• OSTI ID: 5169344
• Journal Information: Phys. Rev. C; (United States), Vol. 29:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NUCLEON-NUCLEON POTENTIAL
INVERSE SCATTERING PROBLEM
ANGULAR MOMENTUM
ISOSPIN
L-S COUPLING
PHASE SHIFT
PIONS
S MATRIX
SCATTERING AMPLITUDES
SPIN
AMPLITUDES
BOSONS
COUPLING
ELEMENTARY PARTICLES
HADRONS
INTERMEDIATE COUPLING
MATRICES
MESONS
PARTICLE PROPERTIES
POTENTIALS
PSEUDOSCALAR MESONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering
645207 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions
Baryon No. Greater than 1- (-1987)