Adiabatic approximation versus exact Faddeev method for (d,p) and (p,d) reactions
- National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States)
- Centro de Fisica Nuclear, Universidade de Lisboa, P-1649-003 Lisboa (Portugal)
The finite-range adiabatic wave approximation (ADWA) provides a practical method to analyze (d, p) or (p, d) reactions; however, until now the level of accuracy obtained in the description of the reaction dynamics has not been determined. In this work, we perform a systematic comparison between the finite-range adiabatic wave approximation and the exact Faddeev method. We include studies of {sup 11}Be(p, d){sup 10}Be(g.s.) at E{sub p}=5, 10, and 35 MeV; {sup 12}C(d, p){sup 13}C(g.s.) at E{sub d}=7, 12, and 56 MeV; and {sup 48}Ca(d, p){sup 49}Ca(g.s.) at E{sub d}=19, 56, and 100 MeV. Results show that the two methods agree within {approx_equal}5% for a range of beam energies (E{sub d}{approx_equal}20-40 MeV) but differences increase significantly for very low energies and for the highest energies. Our tests show that ADWA agrees best with the Faddeev method when the angular momentum transfer is small {Delta}l=0 and when the neutron-nucleus system is loosely bound.
- OSTI ID:
- 21596758
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 84, Issue 3; Other Information: DOI: 10.1103/PhysRevC.84.034607; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ADIABATIC APPROXIMATION
ANGULAR MOMENTUM TRANSFER
BERYLLIUM 10
BERYLLIUM 11 TARGET
CALCIUM 48
CALCIUM 49
CARBON 12 TARGET
CARBON 13
COMPARATIVE EVALUATIONS
DEUTERON REACTIONS
DEUTERONS
FADDEEV EQUATIONS
MEV RANGE
NEUTRONS
NUCLEON-NUCLEON INTERACTIONS
PROTON REACTIONS
PROTON-EMISSION DECAY
PROTONS
ALKALINE EARTH ISOTOPES
APPROXIMATIONS
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
BARYONS
BERYLLIUM ISOTOPES
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CALCIUM ISOTOPES
CALCULATION METHODS
CARBON ISOTOPES
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
DECAY
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EVALUATION
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FERMIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
LIGHT NUCLEI
MINUTES LIVING RADIOISOTOPES
MOMENTUM TRANSFER
NUCLEAR DECAY
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
NUCLEONS
PARTICLE INTERACTIONS
RADIOISOTOPES
STABLE ISOTOPES
TARGETS
YEARS LIVING RADIOISOTOPES