Extended 9Li+n+n three-body model of 11Li with the pairing correlation in 9Li

Abstract

We discuss the binding mechanism of 11Li based on an extended three-body model of Li+n+n. In the model, we take into account the pairing correlation of p-shell neutrons in 9Li, in addition to that of valence neutrons outside the 9Li nucleus, and solve the coupled-channel two- and three-body problems of 10Li and 11Li, respectively. The results show that degrees of freedom of the pairing correlation in 9Li play an important role in the structure of 10Li and 11Li. In 10Li, the pairing correlation in 9Li produces a so-called pairing-blocking effect due to the presence of valence neutron, which degenerates s- and p-wave neutron orbits energetically. In 11Li, on the other hand, the pairing-blocking effect is surpassed by the core-n interaction due to two degrees of freedom of two valence neutrons surrounding 9Li, and as a result, the ground state is dominated by the p-shell closed configuration and does not show a spatial extension with a large r.m.s. radius. These results indicate that the pairing correlation is realized differently in odd- and even-neutron systems of 10Li and 11Li. We further improve the tail part of the 9Li-n interaction, which works well to reproduce the observed large r.m.s. radius in 11Li.

arXiv comment24 pages, 7 figures. to be published in Prog. Theor. Phys

Cited by in corpus (14)

• Pairing correlations in nuclei on the neutron-drip line
• Spatial structure of neutron Cooper pair in low density uniform matter
• Di-neutron correlation and soft dipole excitation in medium mass neutron-rich nuclei near drip-line
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Direct observation of the glue pairing the halo of the nucleus 11Li
• Di-neutron clustering and deuteron-like tensor correlation in nuclear structure focusing on 11Li
• Three-body Coulomb breakup of 11Li in the complex scaling method
• Relativistic description of BCS-BEC crossover in nuclear matter
• Precise comparison of the Gaussian expansion method and the Gamow shell model
• Dineutron correlations in quasi two-dimensional systems in a simplified model and possible relation to neutron-rich nuclei
• Effective interactions between nuclear clusters
• Asymptotics of neutron Cooper pair in weakly bound nuclei
• Two-neutron correlations in microscopic wave functions of He-6, He-8 and C-12
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei