“Optimal” Approximation and the Realistic Nucleon-Nucleon Interactions

  • J. L. Ballot
  • L. Lesniak
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 2)


The principal aim of introducing the so-called “optimal” approximation [1,2] for the projectile-nucleus elastic scattering is to take into account the binding and the recoil effects at the relatively large momentum transfers where the impulse or Glauber approximations break down. The accuracy of this approximation has been studied [3] for the proton-deuteron elastic scattering at intermediate energies using the local nucleon-nucleon interactions independent of the target nucleon spin. The deuterium target has been chosen because the deuteron wave function and the off energy shell two body scattering T matrix elements are sufficiently well known far the large relative proton-neutron momenta. The direct studies of the three-nucleon scattering at the incoming nucleon energies of several hundred MeV are in progress for the modern nucleon-nucleon forces although they have been done at the lower energies of 10 and 20 MeV [4].


Elastic Scattering Large Momentum Transfer Deuteron Wave Function Deuterium Target Deuteron Form Factor 
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  1. [1]
    S.A. Gurvitz, J.P. Dedonder and R.D. Amado, Phys. Rev C19 (1979) 142.ADSGoogle Scholar
  2. [2]
    S.A. Gurvitz, Phys. Rev C33 (1986) 422.ADSCrossRefGoogle Scholar
  3. [3]
    L. Lesniak, Nucl. Phys A403 (1983) 589.CrossRefGoogle Scholar
  4. [4]
    Y. Koike, J. Haidenbauer and W. Plessas, Phys. Rev C35 (1987) 396.ADSGoogle Scholar
  5. [5]
    J.L. Ballot, M. L’Huillier and P. Benoist-Gueutal, Phys.Rev C12 (1975) 725ADSGoogle Scholar
  6. [6]
    R.V. Reid, Jr., Ann. Phys 50 (1968) 411.ADSCrossRefGoogle Scholar
  7. [7]
    B.O. Day, Phys. Rev C24 (1981) 1203.ADSGoogle Scholar
  8. [8]
    R. de Tourreil and D.W.L. Sprung, Nucl. Phys A20 (1973) 193.Google Scholar
  9. [9]
    R.B. Wiringa, R.A. Smith and T.L. Ainsworth, Phys. Rev C29 (1984) 1207.ADSGoogle Scholar
  10. [10]
    J.L. Ballot and L. Lesniak, Orsay preprint IPNO/TH 87-65.Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • J. L. Ballot
    • 1
  • L. Lesniak
    • 2
  1. 1.Division de Physique ThéoriqueInstitut de Physique NucléaireOrsay CedexFrance
  2. 2.Institute of Nuclear PhysicsKrakovPoland

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