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