Description: We have examined the consequences of Poincare invariance for the binding-energy calculations of few-body nuclei. Nonrelativistic Hamiltonians have been considered in an attempt to fit simultaneously the binding energies of 2-, 3-, 4-body nuclei and that of nuclear matter. Even with reasonable three-body forces it appears to be difficult to simultaneously fit the binding energies of 3- and 4-body nuclei. The size of the discrepancy is of the order of possible relativistic effects. After elimination of the center-of-mass motion the two-body Schroedinger equation can always be interpreted as a relativistic equation. Given a two-body mass operator (i.e. a two-body Hamiltonian for zero total momentum) it is possible to construct a consistent relativistic multi-body dynamics with a nonrelativistic limit. The relativistic effects can be calculated in first-order perturbation theory using an expansion in inverse powers of the nucleon mass.
Date: January 1, 1983
Creator: Coester, F. & Wiringa, R.B.
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