Extended 9Li+n+n Three-Body Model of 11Li with a Pairing Correlation in 9Li.

Myo Takayuki, Aoyama Shigeyoshi, Kato Kiyoshi, Ikeda Kiyomi

doi:10.48550/arxiv.nucl-th/0205077

We investigate the binding mechanism of ¹¹Li on the basis of an extended three-body model of ⁹Li+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 the 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 a valence neutron, which causes the s- and p-wave neutron orbits to become energetically degenerate. In ¹¹Li, contrastingly, the pairing-blocking effect is overwhelmed by the core-n interaction due to the two degrees of freedom of the two valence neutrons surrounding ⁹Li, and as a result, the ground state is dominated by the p-shell closed configuration and does not exhibit 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. In addition, we further improve the tail part of the ⁹Li-n interaction, which yields reasonable reproductions of the observed large r.m.s. radius in ¹¹Li.

Extended 9Li+n+n Three-Body Model of 11Li with a Pairing Correlation in 9Li.

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