Few-Nucleon Systems

  • Alex Sitenko
  • Victor Tartakovskii
Part of the Fundamental Theories of Physics book series (FTPH, volume 84)


The scattering amplitude. In the previous Chapter, we considered the main peculiarities of the nuclear interaction between nucleons. It was shown that such can cause either formation of a two-nucleon bound state or scattering of nucleons. At the same time, in the center-of-inertia coordinate system, the energy spectrum is nondegenerate and consists of one discrete level and a continuous part. In the case of greater number of particles, when the system contains three or more interacting nucleons, the description in terms of quantum mechanics becomes more complicated. The reason is that, unlike the two-particle system, the energy spectrum of a system of three or more particles is always degenerate, i.e., discrete levels overlap with the continuous part of the spectrum. This results in the possible redistribution of particles in the interacting subsystems. This must be taken into account when one formulates the boundary conditions in the complex configuration space of the system.


Wave Function Green Function Schrodinger Equation Faddeev Equation Total Wave Function 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Alex Sitenko
    • 1
  • Victor Tartakovskii
    • 2
  1. 1.Bogolyubov Institute for Theoretical PhysicsUkrainian Academy of SciencesKievUkraine
  2. 2.Department of PhysicsTaras Shevchenko UniversityKievUkraine

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