Angular Momenta in Relativistic Many-Body Problems

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Abstract
The problem of the splitting of the total angular momentum for a relativistic system of many free particles is discussed, with the aim of justifying the extension to the relativistic case of the usual nonrelativistic techniques. This is done by introducing external (i.e., center-of-mass) and internal (i.e., relative) coordinates and momenta—it being shown that this is always possible, even for particles with spin. The explicit form of the coordinates and momenta is given for the case of two particles, the general case being obtained by recurrence.

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