Calculation of electromagnetic observables in few-body systems
An introduction to the calculation of electromagnetic observables in few-body systems is given by studying two examples in the trinucleon system: (1) the elastic electron scattering charge form factor in configuration space and momentum space and (2) the two-body photodisintegration of /sup 3/H leading to a neutron-deuteron final state in a separable potential formalism. In the discussion of charge form factor calculations, a number of related topics are touched upon: the relation of structure in Psi to the properties of simple NN forces, the Faddeev and Schroedinger solution to the harmonic oscillator problem, the Rosenbluth formula for electron scattering from a spin-1/2 nuclear target (e.g., the proton or /sup 3/H), and the charge density operator. Formulae for /sup 3/He and /sup 3/H charge form factors in a central force approximation are given in configuration and momentum space. The physics of these form factors is discussed in light of results from realistic nucleon-nucleon potential model calculations, including the effects of two-pion-exchange three-body force models. Topics covered are the rms charge densities, and the Coulomb energy of /sup 3/He. In the discussion of the /sup 3/H photodisintegration, the Siegert form of the electric dipole operator (in the long wave length limit) is derived as are the separable potential equations which describe the off-shell transition amplitudes which connect nucleon-plus-corrected-pair states. Expressions for the Born amplitudes required to complete the two-body photodisintegration amplitude calculation are given. Numerical results for a model central force problem are discussed and compared with an approximate calculation. Comparisons with /sup 3/H(..gamma..,n)d and /sup 3/He(..gamma..,p)d data are made, and the significant features of the exact theoretical calculation are outlined. 61 refs., 26 figs.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Melbourne Univ., Parkville (Australia). School of Physics
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6930874
- Report Number(s):
- LA-UR-86-3946; CONF-8610185-1; ON: DE87002901
- Resource Relation:
- Conference: Autumn school on few-body methods, Lisbon, Portugal, 13 Oct 1986; Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEUTERIUM TARGET
PHOTONUCLEAR REACTIONS
ELECTROMAGNETIC INTERACTIONS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
HELIUM 3
ELECTRON REACTIONS
HELIUM 4 TARGET
TRITIUM
TRITONS
CROSS SECTIONS
ELASTIC SCATTERING
ELECTROMAGNETIC FORM FACTORS
FADDEEV EQUATIONS
HARMONIC OSCILLATOR MODELS
IMPULSE APPROXIMATION
SCHROEDINGER EQUATION
THEORETICAL DATA
WAVE FUNCTIONS
BASIC INTERACTIONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
EVEN-ODD NUCLEI
FORM FACTORS
FUNCTIONS
HELIUM ISOTOPES
HYDROGEN ISOTOPES
INFORMATION
INTERACTIONS
ISOTOPES
LEPTON REACTIONS
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR REACTIONS
NUCLEI
NUMERICAL DATA
ODD-EVEN NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
RADIOISOTOPES
SCATTERING
STABLE ISOTOPES
TARGETS
WAVE EQUATIONS
YEARS LIVING RADIOISOTOPES
645101* - High Energy Physics- Particle Interactions & Properties-Experimental- Electromagnetic Interactions & Properties
651220 - Nuclear Properties & Reactions
A=1-5
Experimental