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We present a self-consistent evaluation of the constituent quark masses inthe three flavor Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) phases of QCD,employing an improved Nambu-Jona Lasinio model. This result allows to determinethe window for values of the baryonic chemical potential where the LOFF stateis energetically favored.Comment: 17 pages, 5 figures, JHEP3 style. A second treatment of the  ultraviolet cutoff added. Three figures adapted to the new cutoff. Two  references added. Version accepted for publication on JHE

Self-consistent evaluation of quark masses in three flavor crystalline color superconductivity