We investigate the isovector giant dipole resonance (IVGDR) in a well-deformed odd-even 175Lu within a microscopic approach for giant dipole resonance (GDR) where the linear response by the nuclear density to the dipole radiation is represented through the single-particle wavefunctions calculated with a triaxial Woods-Saxon (WS) potential. The nuclear shape is obtained using the same WS potential in a microscopic-macroscopic approach. The results for the photo-absorption cross-section are compared with the experimental data and show a splitting of GDR strength into K=0 and K=1 components due to large quadrupole deformation. The splitting of the GDR peak is consistent with the experimental data
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