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We construct a low energy effective Lagrangian for the two-color QCDincluding the "vector" bosons (mesons with J^P=1^- and diquark baryons withJ^P=1^+) in addition to the pseudo Nambu-Goldstone bosons with a degeneratemass M_\pi (mesons with J^P=0^- and baryons with J^P=0^+) based on the chiralsymmetry breaking pattern of SU(2N_f) \to Sp(2N_f) in the framework of thehidden local symmetry. We investigate the dependence of the "vector" bosonmasses on the baryon number density \mu_B. We show that the \mu_B-dependencesignals the phase transition of U(1)_B breaking. We find that it givesinformation about mixing among "vector" bosons: e.g. the mass differencebetween \rho and \omega mesons is proportional to the mixing strength betweenthe diquark baryon with J^P=1^+ and the anti-baryon. We discuss the comparisonwith lattice data for two-color QCD at finite density.

Masses of vector bosons in two-color dense QCD based on the hidden local symmetry