Monte Carlo studies of momentum distributions and longitudinal response functions of A = 3 and 4 nuclei

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:5122381

Schiavilla, R

We review realistic nucleon-nucleon potentials and three-nucleon interaction models based on the two-pion exchange mechanism, describing their theoretical basis. The Faddeev method for the three-body nuclei, and variational approaches for the three- and four-body nuclei wave functions are used to represent the ground state of these nuclei. The variational method is discussed in some detail, and results for the binding energies and charge radii obtained with this method are reported. The Monte Carlo integration technique, also briefly reviewed, is used to evaluate various expectation values, and is generalized to calculate quantities such as momentum distributions and transition probabilities. The longitudinal structure function and the energy weighted sum of the longitudinal response are calculated in the few-body nuclei, and results obtained for these quantities in nuclear matter with chain summation techniques are also reported. The theoretical sum rules are then used to analyze most of the available experimental data on light, medium and heavy nuclei, extracted from inclusive (e,e{prime}) reactions. We then calculate the momentum distributions of protons in {sup 3}He, {sup 3}He, and {sup 4}He, and nucleon clusters, such as d+p in {sup 3}He and t+p and d+d in {sup 4}He. The proton and d+p momentum distributions are compared with those extracted at Saclay from the plane-wave impulse approximation analysis of the exclusive reactions {sup 3}He(e,e{prime}p)d and {sup 3}He(e,e{prime}p)n+n. Lastly, the method of correlated basis functions (CBF) is generalized to describe the three-nucleon and deuteron + nucleon continuum states.

• Research Organization: Illinois Univ., Urbana, IL (USA)
• OSTI ID: 5122381
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
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651000 -- Nuclear Physics
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
DATA ANALYSIS
HADRON-HADRON INTERACTIONS
HELIUM ISOTOPES
INTERACTIONS
ISOTOPES
MATHEMATICAL MODELS
MONTE CARLO METHOD
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
VARIATIONAL METHODS