2011/12/07 by K. Hagino, H. Sagawa · 17 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic physics #Nuclear physics research studies #Pairing #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Superconductivity #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.85.014303
published in Physical Review C 85(1) (American Institute of Physics) · 9 pages, 7 figures
arxiv created 2011/12/07 · openalex publication_date 2012/01/05 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.