Nucleon-nucleon scattering contribution to the triton binding energy [electronic resource]
We conjectured in 1972 that much of the dynamics of a few nucleon systems could be computed from the on-shell nucleon-nucleon scatterings provided that a consistent few body theory using this input could be constructed. Such a Zero Range Scattering Theory has been shown to lead to unitary three and...
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Online Access |
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| Format: | Government Document Electronic eBook |
| Language: | English |
| Published: |
Menlo Park, Calif. : Oak Ridge, Tenn. :
Stanford Linear Accelerator Center. ; distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy,
1983.
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| Summary: | We conjectured in 1972 that much of the dynamics of a few nucleon systems could be computed from the on-shell nucleon-nucleon scatterings provided that a consistent few body theory using this input could be constructed. Such a Zero Range Scattering Theory has been shown to lead to unitary three and four particle scattering amplitudes provided only the two particle amplitudes have no singularities other than bound state poles when continued to negative energies, which restricts the theory to Castillejo-Dalitz-Dyson solutions of the Low equation. We extend the model by rewriting the off-shell amplitude which drives the Faddeev equations. This amplitude retains full off-shell unitarity and still leads to unitary on-shell three particle amplitudes. This amounts to keeping any unitary two-nucleon amplitude on-shell and restricting the analytic continuation to negative energies to the term which represents the correct continuation of the two particle total partial wave cross section; the meson exchange or potential contributions are eliminated in the unphysical region, thus excising the left-hand cut. Using this model in the zero range Faddeev equations for the three nucleon system our preliminary results show that the on-shell scatterings bind the triton with about 2.5 MeV and are insensitive to the details of the fit. |
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| Item Description: | Published through the Information Bridge: DOE Scientific and Technical Information. 04/01/1983. "slac-pub-3110" " conf-830833-1" "DE83011287" International conference on nuclear physics, Florence, Italy, 29 Aug 1983. Noyes, H.P. |
| Physical Description: | Pages: 2 : digital, PDF file. |