Benchmark calculation for proton-deuteron elastic scattering observables including the Coulomb interaction

Journal Article · Wed Jun 01 04:00:00 EDT 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.064003· OSTI ID:20698727

Deltuva, A; Fonseca, A C ^[1]; Kievsky, A; Rosati, S; Viviani, M ^[2]; Sauer, P U ^[3]

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1. Centro de Fisica Nuclear da Universidade de Lisboa, P-1649-003 Lisbon (Portugal)
2. Istituto Nazionale di Fisica Nucleare, I-56100 Pisa (Italy)
3. Institut fuer Theoretische Physik, Universitaet Hannover, D-30167 Hannover (Germany)

Two independent calculations of proton-deuteron elastic scattering observables including Coulomb repulsion between the two protons are compared in the proton laboratory energy region between 3 and 65 MeV. The hadron dynamics is based on the purely nucleonic charge-dependent AV18 potential. Calculations are done in both coordinate space and momentum space. The coordinate-space calculations are based on a variational solution of the three-body Schroedinger equation using a correlated hyperspherical expansion for the wave function. The momentum-space calculations proceed via the solution of the Alt-Grassberger-Sandhas equation using the screened Coulomb potential and the renormalization approach. Both methods agree to the order of 1% on all observables, showing the reliability of both numerical techniques in that energy domain. At energies below the three-body breakup threshold, the coordinate-space method remains favored; at energies higher than 65 MeV, the momentum-space approach seems to be more efficient.

• OSTI ID: 20698727
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 71; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BENCHMARKS
COULOMB FIELD
DEUTERIUM TARGET
DEUTERONS
ELASTIC SCATTERING
MEV RANGE
NUCLEAR FORCES
POTENTIALS
PROTON REACTIONS
PROTON-NUCLEON INTERACTIONS
PROTONS
RENORMALIZATION
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
VARIATIONAL METHODS
WAVE FUNCTIONS