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We discuss the role of pairing anti-halo effect in the observed odd-evenstaggering in reaction cross sections for $^{30,31,32}$Ne and $^{36,37,38}$Mgisotopes by taking into account the ground state deformation of these nuclei.To this end, we construct the ground state density for the $^{30,31}$Ne and$^{36,37}$Mg nuclei based on a deformed Woods-Saxon potential, while for the$^{32}$Ne and $^{38}$Mg nuclei we also take into account the pairingcorrelation using the Hartree-Fock-Bogoliubov method. We demonstrate that, whenthe one-neutron separation energy is small for the odd-mass nuclei, asignificant odd-even staggering still appears even with finite deformation,although the degree of staggering is somewhat reduced compared to the sphericalcase. This implies that the pairing anti-halo effect in general plays animportant role in generating the odd-even staggering in reaction cross sectionsfor weakly bound nuclei.

Role of deformation in odd-even staggering in reaction cross sections for $^{30,31,32}$Ne and $^{36,37,38}$Mg isotopes