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With the advent of high analysis technology in detecting the Gamow-Teller(GT) excited states beyond one nucleon emission threshold, the quenching of theGT strength to the Ikeda sum rule seems to be recovered by the high-lying GTstates. Moreover, in some nuclei, the stronger GT peaks than any other peaksappear explicitly in the high-lying excited states. We address that thesehigh-lying GT excited states stems from the smearing of the Fermi surface bythe increase of the chemical potential owing to the deformation within aframework of the deformed quasi-particle random phase approximation (DQRPA).Detailed mechanism leading to the smearing is discussed, and comparisons to theavailable experimental data are shown to explain the strong peaks on thehigh-lying GT excited states in a satisfactory manner.

High-lying Gamow-Teller excited states in the deformed nuclei,  $^{76}\textrm{Ge}$ and $^{82}\textrm{Se}$, by the smearing of the Fermi  surface in Deformed Quasi-particle RPA (DQRPA)