2013/08/08 by Ying Chen, Peter Ring, Chen, Ying +4
Physics and Astronomy · #FOS: Physical sciences #Nuclear Physics and Applications #Nuclear Theory (nucl-th) #Nuclear physics research studies #Rare-earth and actinide compounds #nucl-th
paper · pdf · doi:10.48550/arxiv.1308.1773
16 pages, 6 figures
arxiv created 2013/08/08 · openalex publication_date 2013/08/08 · arxiv updated 2013/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The influence of pairing correlations on the nuclear size and in particular on the formation of nuclear halos is studied in the framework of relativistic continuum Hartree-Bogoliubov (RCHB) theory. It turns out that the contributions from the weakly-bound orbits with low orbital angular momenta l play an important role. As an example, we investigate the neutron-rich Mg isotopes as a function of the pairing strength in situations, where the neuron Fermi surface are below, between and above two weakly-bound 2p levels. We find that the size of the pairing correlations has a two-fold influence on the density distribution of the neutrons and therefore on the total nuclear size. First it can change the root mean square (rms) radius of the individual weakly-bound orbits and second it can enhance the occupation probabilities of these orbits in the nuclear system. On one side increasing pairing correlations reduce the rms radii of the orbits with small orbital angular momenta close to the continuum limit (pairing anti-halo effect), on the other side they also can lead to an enhanced occupation of low-l orbits above the Fermi surface producing in this way a strong increase of the total radius of the nuclear system. As a consequence, a nuclear halo can form even in cases, where non of the individual low-l orbits is very close to the continuum. This leads to the fact that compared with well-bound nuclei, the impact of the pairing strength on the nuclear size is more pronounced in weakly-bound nuclei than in well-bound systems.