Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-07-09
Few Body Syst.49:233-246,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 7 figures; based on materials of the contribution "Relativistic Description of Two- and Three-Body Systems in Nuclea
Scientific paper
10.1007/s00601-010-0101-0
Different approaches to solve the spinor-spinor Bethe-Salpeter (BS) equation in Euclidean space are considered. It is argued that the complete set of Dirac matrices is the most appropriate basis to define the partial amplitudes and to solve numerically the resulting system of equations with realistic interaction kernels. Other representations can be obtained by performing proper unitary transformations. A generalization of the iteration method for finding the energy spectrum of the BS equation is discussed and examples of concrete calculations are presented. Comparison of relativistic calculations with available experimental data and with corresponding non relativistic results together with an analysis of the role of Lorentz boost effects and relativistic corrections are presented. A novel method related to the use of hyperspherical harmonics is considered for a representation of the vertex functions suitable for numerical calculations.
degli Atti Claudio Ciofi
Dorkin S. M.
Kampfer Burkhard
Kaptari Leonid P.
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