Fate of the neutron-deuteron virtual state as an Efimov level

Abstract

The emergence of Efimov levels in a three-body system is investigated near the unitarity limit characterized by resonating two-body interaction. No direct evidence of Efimov levels is seen in the three-nucleon system since the triton is the only physical bound state. We provide a model-independent analysis of nucleon-deuteron scattering at low energy by formulating a consistent effective field theory. We show that virtual states evolve into shallow bound states, which emerge as excited triton levels as we drive the system towards unitarity. Even though we consider this specific system, our results for the emergence of the Efimov levels are universal.

arXiv comment7 pages, 3 figures

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Cited by in corpus (16)

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• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Efimov Physics and Connections to Nuclear Physics
• Embedding nuclear physics inside the unitary window
• Naturalness in Nuclear Effective Field Theories
• Energies and radii of light nuclei around unitarity
• Weinberg's Compositeness
• Do we know how to count powers in pionless and pionful effective field theory?
• Clustering of Four-Component Unitary Fermions
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Nonrelativistic Effective Field Theory with a Resonance Field
• Few nucleons scattering in pionless effective field theory
• Perspectives on few-body cluster structures in exotic nuclei
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Improved Actions for Nuclear Effective Field Theories