Calculation of electromagnetic observables in few-body systems [electronic resource].
- Los Alamos, N.M. : Los Alamos National Laboratory, 1986. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- Pages: 47 : digital, PDF file
- Additional Creators:
- Los Alamos National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- 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.
- Published through SciTech Connect., 10/01/1986., "la-ur-86-3946", " conf-8610185-1", "DE87002901", Autumn school on few-body methods, Lisbon, Portugal, 13 Oct 1986., and Gibson, B.F.
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