Different from the case of the nonrelativistic limit, it is shown in this paper that in the ultrarelativistic limit, the L = j, j+1 wave components are large terms for both state with parity η_(P) = (−1)^(j) and state with parity η_(P) = (−1)^(j+1). Moreover, it is found that the states with parity η_(P) = (−1)^(j) are degenerate with the states with parity η_(P) = (−1)^(j+1) if the Lorentz structure of the interaction between the massless constituents is four-vector or time-component of four-vector. The scalar interaction violates this degeneracy.
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