Evidence for a pairing anti-halo effect in the odd-even staggering in reaction cross sections of weakly bound nuclei

Abstract

We investigate the spatial extension of weakly bound Ne and C isotopes by taking into account the pairing correlation with the Hartree-Fock-Bogoliubov (HFB) method and a three-body model, respectively. We show that the odd-even staggering in the reaction cross sections of ${}^{30,31,32}$Ne and ${}^{14,15,16}$C are successfully reproduced, and thus the staggering can be attributed to the pairing anti-halo effect. A correlation between a one-neutron separation energy and the anti-halo effect is demonstrated for $s$ and $p$ waves using the HFB wave functions.