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We investigate the roles of deformation on the giant monopole resonance(GMR), particularly the mixing of the giant quadrupole resonance (GQR) and theeffects of the neutron excess in the well-deformed nuclei around $^{110}$Zr andin the drip-line nuclei around $^{140}$Zr by means of the deformedquasiparticle-random-phase-approximation employing the Skyrme and the localpairing energy-density functionals. It is found that the isoscalar (IS) GMR hasa two-peak structure, the lower peak of which is associated with the mixingbetween the ISGMR and the $K^{\pi}=0^{+}$ component of the ISGQR. Thetransition strengths of the lower peak of the ISGMR grows as the neutron numberincreases. In the drip-line nuclei, the neutron excitation is dominant over theproton excitation. We find for an isovector (IV) excitation the GMR has afour-peak structure due to the mixing of the IS and IV modes as well as themixing of the $K^{\pi}=0^{+}$ component of the IVGQR. Besides the GMR, we findthe threshold strength generated by neutrons only.

Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes