N-reggeized gluon states in Quantum Chromodynamics are described by BKP equation. In order to solve this equation for N>3 particles the Q-Baxter operator method is used. Spectrum of the integrals of motion of the system exhibits a complicated structure. In this work we consider the case with N=4 Reggeons where complicated relations between q3-spectrum and q4-spectrum are analysed. Moreover, corrections to WKB approximation for N=4 and q3=0 are computed.
PACS numbers: 12.40.Nn, 11.55.Jy, 12.38.--t
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