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Few-Body Systems

, 60:50 | Cite as

Two-Neutron Correlations in a Borromean \(\varvec{^{20}\mathrm{C}+n+n}\) System: Sensitivity of Unbound Subsystems

  • Jagjit SinghEmail author
  • W. Horiuchi
  • L. Fortunato
  • A. Vitturi
Article

Abstract

The structure of \(^{22}\)C plays a vital role in the new physics at subshell closure of \(N=16\) in the neutron-rich region. We study the two-neutron correlations in the ground state of the weakly-bound Borromean nucleus \(^{22}\)C sitting at the edge of the neutron-drip line and its sensitivity to \(\mathrm{core}\)-n potential. For the present study, we employ a three-body (\(\mathrm{core}+n+n\)) structure model designed for describing the Borromean system by explicit coupling of unbound continuum states of the subsystem (\(\mathrm{core}+n\)). We use a density-independent contact-delta interaction to describe the neutron-neutron interaction and its strength is varied to fix the binding energy. Along with the ground-state properties of \(^{22}\)C, we investigate its electric-dipole and monopole responses, discussing the contribution of various configurations. Our results indicate more configuration mixing as compared to the previous studies in the ground state of \(^{22}\)C. However, they strongly depend upon the choice of the \(^{20}\mathrm{C}\)-n potential as well as the binding energy of \(^{22}\)C, which call for new precise measurements for the low-lying continuum structure of the binary system (\(^{20}\mathrm{C}+n\)) and the mass of \(^{22}\)C. These measurements will be essential to understand the Borromean three-body system \(^{22}\)C with more accuracy.

Notes

Acknowledgements

We would like to thank P. Descouvemont and J. A. Lay for useful discussions. J. Singh gratefully acknowledged the financial support from Nuclear Reaction Data Centre (JCPRG), Faculty of science, Hokkaido University, Sapporo.

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Nuclear Reaction Data Centre, Faculty of ScienceHokkaido UniversitySapporoJapan
  2. 2.Research Center for Nuclear Physics (RCNP)Osaka UniversityIbarakiJapan
  3. 3.Department of PhysicsHokkaido UniversitySapporoJapan
  4. 4.Dipartimento di Fisica e Astronomia “G.Galilei” and INFN-Sezione di PadovaPaduaItaly

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