On a three-body problem in relativistic quantum mechanics

Proceeding from the method of packing operators developed by Sokolov and from the 'light front variables' technique, the explicit formulae for packing operators and auxiliary mass operators for a system of three particles with arbitrary spins are derived. It is shown that for the packing operators there exists an infinite number of solutions yielding different physical consequences. The problem of the theory substantiation is discussed. Arguments in favour of a certain choice of packing operators are produced. (author)