Abstract
We establish the formalism of nuclear spin-isospin excitations,especially the Gamow-Teller resonance in a fully consistent relativistic random-phase approximation. A relativistic form of the Landau-Migdal parameter g' isadopted as a residual spin-isospin correlation force. In thenon-relativistic limit it reproduces the excitation energy of the giantGamow-Teller resonance state obtained in the non-relativistic model. TheGamow-Teller resonance for finite nuclei is investigated in arelativistic approach for the first time. It is found that the Ikedasum rule of 90Zr is quenched about 8% in the Hartree as well asthe correlated strengths due to the poles of the negative Dirac statesat energies above 1 GeV.
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