Gamow—Teller Resonance of 90Zr in a Relaztivistic Approach

We establish the formalism of nuclear spin-isospin excitations,especially the Gamow-Teller resonance in a fully consstent relativistic random-phase approximation.A relativistic form of the Landau-Migdal parameter g‘ is adopted as a residual spin-isospin correlation force.In the non-relativistic limit it reproduces the excitation energy of the giant Gamow-Teller resonance state obtained in the non-relativistic model.The Gamow-Teller resonance for finite nuclei is investigated in a relativistic approach for the first time.It is found that the Ikeda sum rule of 90Zr is quenched about 8% in the Hartree as well as the correlated strengths due to the poles of the negative Dirac states at energies above 1 GeV.