Deformation-induced splitting of the monopole giant resonance in 24Mg

The strong deformation splitting of the isoscalar giant monopole resonance (ISGMR), recently observed in ($\alpha ,{\alpha }^{\mathrm{\prime }}$) reaction in prolate ${}^{24}$Mg, is analyzed in the framework of the Skyrme quasiparticle random-phase-approximation (QRPA) approach with the Skyrme forces SkM*, SVbas and SkP${}^{\delta }$. The calculations with these forces give close results and confirm that the low-energy E0-peak is caused by the deformation-induced coupling of ISGMR with the K=0 branch of the isoscalar giant quadrupole resonance.