Study of the virtual state in νc10Li with the Jost function method
Abstract
The νc10Li nucleus is very interesting for nuclear physics because both s- and p-wave neutron states exist simultaneously around the νc9Li + n threshold. It has been shown that the neutron pairing correlation in the νc9Li-core plays an important role in reproducing this degeneracy of the s- and p-wave single particle energies. The p-wave neutron potential becomes shallow relatively with the s-wave due to the Pauli blocking effect in the odd neutron system νc10Li. In order to investigate the s-wave virtual state and the p-wave resonance in νc10Li, we use the Jost function method (JFM). The JFM enables us to obtain poles of the S-matrix even for virtual states with high accuracy. For taking account of the effect of the Pauli principle between νc9Li and neutron, we apply the JFM to the orthogonality condition model (OCM). Applicability of the JFM to the coupled channel OCM is studied in detail by using the iteration method for the integro-differential equation of the coupled channel system. By establishing this new method to solve resonance and virtual states, it is expected that we can understand the νc9Li-n interaction explaining the coexistence of s- and p-wave states. The knowledge of the νc9Li-n interaction is very important in understanding the halo structure of νc11Li.
- Publication:
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APS Meeting Abstracts
- Pub Date:
- October 2001
- Bibcode:
- 2001APS..HAW.DE004K