Unveiling pairing anti-halo effect in odd-even staggering in reaction cross sections of weakly bound nuclei

TL;DR

This paper explores how pairing correlations influence the odd-even staggering observed in reaction cross sections of weakly bound nuclei, revealing the pairing anti-halo effect as a key factor.

Contribution

It demonstrates the role of pairing anti-halo effect in odd-even staggering of reaction cross sections using HFB and 3-body models, linking it to separation energies.

Findings

Reproduces odd-even staggering in Ne and C isotopes.

Shows correlation between separation energy and anti-halo effect.

Identifies pairing anti-halo effect as a key factor.

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 3-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.