Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-02-05
EPJ Web of Conference 3, 01002 (2010)
Physics
Nuclear Physics
Nuclear Theory
invited talk presented in 19th International IUPAP Conference on Few-Body Problems in Physics
Scientific paper
Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclei, it is not possible to reproduce both the three- and four-nucleon binding energies simultaneously. This is one manifestation of the necessity of including a three-nucleon force in the nuclear Hamiltonian. Several models of the three-nucleon force exist and are applied in the description of light nuclei. However, as it is discussed here, a simultaneous description of the three- and four-body binding energies and the $n-d$ doublet scattering length seems to be problematic. Accordingly, a comparative study of some of these models is performed. In a different analysis, we study applications of the Kohn Variational Principle, formulated in terms of integral relations, to describe $N-d$ scattering processes.
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