Coexistence of BCS and BEC-like pair structures in halo nuclei

Abstract

We investigate the spatial structure of the two-neutron wave function in the Borromean nucleus ${}^{11}$Li, using a three-body model of ${}^9$Li $+n+n$, which includes many-body correlations stemming from the Pauli principle. The behavior of the neutron pair at different densities is simulated by calculating the two-neutron wave function at several distances between the core nucleus ${}^9$Li and the center of mass of the two neutrons. With this representation, a strong concentration of the neutron pair on the nuclear surface is for the first time quantitatively established for neutron-rich nuclei. That is, the neutron pair wave function in ${}^{11}$Li has an oscillatory behavior at normal density, while it becomes a well localized single peak in the dilute density region around the nuclear surface. We point out that these features qualitatively correspond to the BCS and BEC-like structures of the pair wave function found in infinite nuclear matter.

4 pages, 3 eps figures. The version to appear in PRL

References in corpus (11)

• Construction of high-quality Nucleon-Nucleon potential models
• Observation of Bose-Einstein Condensation of Molecules
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• 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
• The halo of the exotic nucleus 11Li: a single Cooper pair
• BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
• Three-body model calculations for 16C nucleus
• Size-shrinking of deuterons in very dilute superfluid nuclear matter

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