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Separable-Potential Fits to Nucleon-Nucleon Scattering Data

Nov 20, 1968
Published in:
  • Phys.Rev. 175 (1968) 4, 1260
  • Published: Nov 20, 1968
DOI:
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Abstract: (APS)
The Arndt-MacGregor (Livermore) nucleon-nucleon phase shifts and mixing parameters for partial waves through J=4J=4 are fitted in the energy range 0-400 MeV by separable potentials. We have demanded that the partial-wave scattering amplitudes resulting from our potentials have singularities only for real negative values of the complex energy variable, in addition to the usual right-hand unitarity cut guaranteed by the Lippman-Schwinger formalism. We have also demanded that the appropriate partial-wave amplitudes contain the deuteron pole and the singlet antibound-state pole at the correct energies. The use of these fits in probing the off-energy-shell behavior of scattering amplitudes is discussed.
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