Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-05-21
Nucl.Phys. A748 (2005) 139-167
Physics
Nuclear Physics
Nuclear Theory
26 pages, 3 figures, to be submitted
Scientific paper
10.1016/j.nuclphysa.2004.10.015
This paper describes a tentative relativistic quantum mechanics approach inspired by Dirac's point-form, which is based on the physics description on a hyperboloid surface. It is mainly characterized by a non-standard relation of the constituent momenta of some system to its total momentum. Contrary to instant- and front-form approaches, where it takes the form of a 3-dimensional delta function, the relation is given here by a Lorentz-scalar constraint. Thus, in the c.m. frame, the sum of the constituent momenta, which differs from zero off-energy shell, has no fixed direction, in accordance with the absence of preferred direction on a hyperboloid surface. To some extent, this gives rise to an extra degree of freedom entering the description of the system of interest. The development of a consistent formalism within this picture is described. Comparison with other approaches is made.
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