Configuration space Faddeev continuum calculations: p-d s-wave scattering length

Journal Article · Thu Sep 01 00:00:00 EDT 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.983· OSTI ID:5539703

Friar, J L; Gibson, B F; Payne, G L

Formulation of s-wave zero-energy Faddeev-type scattering equations including a Coulomb interaction is discussed. Numerical solutions of these equations for the s-wave NN potential models of Malfliet and Tjon are obtained using spline techniques. Kohn variational estimates are presented and comparison is made to previously published results. Our quartet pd scattering lengths are larger than others previously obtained, and our pd doublet results are smaller than the corresponding nd results, and thus in contrast to the experimental values. An explication of this feature is presented in terms of a model two-body problem. Perturbation theory for the Coulomb corrections to the scattering length is developed and confirms the Kohn estimates.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5539703
• Journal Information: Phys. Rev. C; (United States), Vol. 28:3
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEUTERIUM TARGET
PROTON REACTIONS
ELASTIC SCATTERING
COULOMB CORRECTION
FADDEEV EQUATIONS
NUCLEON-NUCLEON POTENTIAL
NUMERICAL SOLUTION
S WAVES
SCATTERING LENGTHS
TWO-BODY PROBLEM
VARIATIONAL METHODS
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
CORRECTIONS
DIMENSIONS
EQUATIONS
HADRON REACTIONS
LENGTH
MANY-BODY PROBLEM
NUCLEAR REACTIONS
NUCLEON REACTIONS
PARTIAL WAVES
POTENTIALS
SCATTERING
TARGETS
651215* - Nuclear Properties & Reactions
A=1-5
Theoretical- Nuclear Reactions & Scattering- (-1987)