Pairing correlations and odd-even staggering in reaction cross sections of weakly bound nuclei

K. Hagino, H. Sagawa

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We investigate the odd-even staggering (OES) in reaction cross sections of weakly bound nuclei with Glauber theory, taking into account the pairing correlation with the Hartree-Fock-Bogoliubov (HFB) method. We first discuss the pairing gap in extremely weakly bound nuclei and show that the pairing gap persists in the zero separation energy limit even for single-particle orbits with the orbital angular momenta l=0 and l=1. We then introduce the OES parameter, defined as the second derivative of reaction cross sections with respect to the mass number, and clarify the relation between the magnitude of OES and the neutron separation energy. We find that the OES parameter increases considerably in the zero separation energy limit for l=0 and l=1 single-particle states, while no increase is found for higher angular momentum orbits with, for example, l=3. We point out that the increase of OES parameter is also seen in the experimental reaction cross sections for Ne isotopes, which is well accounted for by our calculations.

Original languageEnglish
Article number014303
JournalPhysical Review C - Nuclear Physics
Volume85
Issue number1
DOIs
Publication statusPublished - 2012 Jan 5

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Pairing correlations and odd-even staggering in reaction cross sections of weakly bound nuclei'. Together they form a unique fingerprint.

  • Cite this