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Title: Resonating-group method for nuclear many-body problems

Technical Report ·
DOI:https://doi.org/10.2172/6625747· OSTI ID:6625747

The resonating-group method is a microscopic method which uses fully antisymmetric wave functions, treats correctly the motion of the total center of mass, and takes cluster correlation into consideration. In this review, the formulation of this method is discussed for various nuclear many-body problems, and a complex-generator-coordinate technique which has been employed to evaluate matrix elements required in resonating-group calculations is described. Several illustrative examples of bound-state, scattering, and reaction calculations, which serve to demonstrate the usefulness of this method, are presented. Finally, by utilization of the results of these calculations, the role played by the Pauli principle in nuclear scattering and reaction processes is discussed. 21 figures, 2 tables, 185 references.

Research Organization:
Minnesota Univ., Minneapolis (USA). School of Physics; Tuebingen Univ. (Germany, F.R.). Inst. fuer Theoretische Physik
DOE Contract Number:
EY-76-C-02-1764
OSTI ID:
6625747
Report Number(s):
COO-1764-331; TRN: 79-002501
Country of Publication:
United States
Language:
English

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
MANY-BODY PROBLEM
RESONATING-GROUP METHOD
REVIEWS
CARBON 12
ENERGY LEVELS
FLUORINE 18
FLUORINE 19
NEON 20
OXYGEN 17
ALPHA REACTIONS
ELASTIC SCATTERING
DEUTERON REACTIONS
HELIUM 3 REACTIONS
NEUTRON REACTIONS
OXYGEN 16 TARGET
HELIUM 4 TARGET
HELIUM 3 TARGET
PROTON REACTIONS
PICKUP REACTIONS
LITHIUM 6 TARGET
BOUND STATE
CENTER-OF-MASS SYSTEM
CLUSTER MODEL
CORRELATIONS
GENERATOR-COORDINATE METHOD
MATRIX ELEMENTS
MOTION
NUCLEAR REACTIONS
PAULI PRINCIPLE
SCATTERING
DIFFERENTIAL CROSS SECTIONS
CALCIUM 40 TARGET
PHASE SHIFT
DEUTERONS
HELIUM 3
ONE-NUCLEON TRANSFER REACTIONS
BARYON REACTIONS
BETA DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
CARBON ISOTOPES
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIRECT REACTIONS
DOCUMENT TYPES
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUORINE ISOTOPES
HADRON REACTIONS
HELIUM ISOTOPES
HOURS LIVING RADIOISOTOPES
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
NEON ISOTOPES
NUCLEAR MODELS
NUCLEI
NUCLEON REACTIONS
ODD-EVEN NUCLEI
ODD-ODD NUCLEI
OXYGEN ISOTOPES
RADIOISOTOPES
STABLE ISOTOPES
TARGETS
TRANSFER REACTIONS
VARIATIONAL METHODS
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