Investigation of ${}^{23}$N in a three-body model

Abstract

The neutron-drip-line nucleus ${}^{23}$N is investigated in a three-body model consisting of a ${}^{21}$N core and two valence neutrons. By solving the Faddeev equations with the realistic neutron-neutron potentials and the neutron-core potentials, we calculate the ground state properties of ${}^{23}$N and also find that there is a new excited state with two-neutron separation energy at about 0.18 MeV. The properties, such as the two-neutron separation energies, are obtained with a good agreement with experiments. By calculating the root-mean-square matter radii, the average distances between the valence neutrons, and the average distances between the core and the center-of-mass of the neutron pair, we show that the excited state of ${}^{23}$N has a clear halo structure. The correlation density distributions of the three-body system are also calculated to analyze its geometric configuration. At last, we find that the excited state of ${}^{23}$N has a very small binding energy, a large radius and distribution, and a triangular shape similar with the ground state. These roperties of the excited state indicate that it can be an Efimov state.

arXiv comment14 pages, 4 figures

References in corpus (22)

• Universality in Few-body Systems with Large Scattering Length
• Alpha cluster condensation in 12C and 16O
• The structure of the atomic helium trimers: Halos and Efimov states
• Efimov States in Halo Nuclei
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• FaCE: a tool for Three Body Faddeev calculations with core excitation
• Implications of a matter-radius measurement for the structure of Carbon-22
• ${}^6$He nucleus in halo effective field theory
• The Pauli principle in a three-body cluster model and the momentum distributions after fragmentation of 6He and 11Li
• Radiative Neutron Capture on Lithium-7
• Three-body structure of the low-lying ${}^{17}$Ne-states
• Investigation of ${}^9$Be from nonlocalized clustering concept
• Three-body halos. III. Effects of finite core-spin
• Three-body structure of low-lying 12Be states
• The helium trimer with soft-core potentials
• Interplay between the 0+_2 resonance and the nonresonant continuum of the drip-line two-neutron halo nucleus 22C
• Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics
• Effects of deformation in the three-body structure of 11Li
• Spin-dependent effective interactions for halo nuclei
• Necessary conditions for accurate computations of three-body partial decay widths
• Nuclear structure study of 19,20,21N nuclei by gamma spectroscopy
• Diffusion monte carlo calculations of three-body systems

Cited by in corpus (1)

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