Approximate Coulomb effects in the three-body scattering problem

Journal Article · Tue Sep 01 00:00:00 EDT 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.1322· OSTI ID:6210341

Haftel, M I; Zankel, H

From the momentum space Faddeev equations we derive approximate expressions which describe the Coulomb-nuclear interference in the three-body elastic scattering, rearrangement, and breakup problems and apply the formalism to p-d elastic scattering. The approximations treat the Coulomb interference as mainly a two-body effect, but we allow for the charge distribution of the deuteron in the p-d calculations. Real and imaginary parts of the Coulomb correction to the elastic scattering phase shifts are described in terms of on-shell quantities only. In the case of pure Coulomb breakup we recover the distorted-wave Born approximation result. Comparing the derived approximation with the full Faddeev p-d elastic scattering calculation, which includes the Coulomb force, we obtain good qualitative agreement in S and P waves, but disagreement in repulsive higher partial waves. The on-shell approximation investigated is found to be superior to other current approximations. The calculated differential cross sections at 10 MeV raise the question of whether there is a significant Coulomb-nuclear interference at backward angles.

• Research Organization: Naval Research Laboratory, Washington, D.C. 20375
• OSTI ID: 6210341
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

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A=1-5
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653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR DISTRIBUTION
BARYON REACTIONS
BORN APPROXIMATION
BREAKUP REACTIONS
CHARGE DISTRIBUTION
CHARGED-PARTICLE REACTIONS
CORRECTIONS
COULOMB CORRECTION
CROSS SECTIONS
DEUTERIUM TARGET
DIFFERENTIAL CROSS SECTIONS
DISTRIBUTION
DWBA
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FADDEEV EQUATIONS
HADRON REACTIONS
MANY-BODY PROBLEM
MEV RANGE
MEV RANGE 01-10
NUCLEAR REACTIONS
NUCLEON REACTIONS
PHASE SHIFT
PROTON REACTIONS
SCATTERING
TARGETS
THREE-BODY PROBLEM
TWO-BODY PROBLEM