Momentum space Faddeev calculation for N-d scattering below the breakup threshold

Journal Article · Wed Oct 01 00:00:00 EDT 1986 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.34.1203· OSTI ID:5172566

Berthold, G H; Zankel, H

Momentum space Faddeev equations for different models that also include the Coulomb force between two protons and a spin triplet nucleon-nucleon tensor force within an angular momentum approximation are solved at E/sub lab/ -- 0.2 to 2.0 MeV. From a low energy expansion of the N-d S-wave phase shifts, effective range parameters are extracted. The Coulomb contribution to the relation between the trinucleon binding energy and doublet scattering length remains qualitatively unchanged when either the separable nucleon-nucleon tensor potential or the singlet potential is varied. All our doublet p-d S-wave effective range functions show a nonlinear behavior that can be ascribed to a pole connected with a virtual trinucleon bound state, whereas phase shift analysis rejects such a pole. The calculated p-d differential cross sections are roughly compatible with experiment, suggesting that phase shift analysis might not be accurate enough to detect the virtual bound state.

• Research Organization: Institut fuer Theoretische Physik, Universitat Graz, A-8010 Graz, Austria
• OSTI ID: 5172566
• Journal Information: Phys. Rev. C; (United States), Vol. 34:4
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEUTERIUM TARGET
PROTON REACTIONS
SCATTERING LENGTHS
BINDING ENERGY
BOUND STATE
COULOMB FIELD
DIFFERENTIAL CROSS SECTIONS
FADDEEV EQUATIONS
HELIUM 3
NUCLEON-NUCLEON POTENTIAL
PHASE SHIFT
S WAVES
TENSOR FORCES
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIMENSIONS
ELECTRIC FIELDS
ENERGY
EQUATIONS
EVEN-ODD NUCLEI
HADRON REACTIONS
HELIUM ISOTOPES
ISOTOPES
LENGTH
LIGHT NUCLEI
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
PARTIAL WAVES
POTENTIALS
STABLE ISOTOPES
TARGETS
651215* - Nuclear Properties & Reactions
A=1-5
Theoretical- Nuclear Reactions & Scattering- (-1987)