Relativistic center-of-mass variables and relativistic corrections to phenomenological Hamiltonians

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Abstract
A new method for obtaining the relativistic internal center-of-mass variables without using the singular Gartenhaus-Schwartz transformation is proposed. We have shown that the relativistic c.m. dynamical variables can be obtained from the nonrelativistic ones by a unitary transformation. A general method for determining the relativistic interaction in terms of a given nonrelativistic phenomenological potential is developed. Many different results obtained previously by various approaches have been reproduced.