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Efimov Physics and Connections to Nuclear Physics

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arxiv 2102.13504 v1 pith:YGP6PCNA submitted 2021-02-26 nucl-th cond-mat.quant-gas

classification nucl-thcond-mat.quant-gas
keywords systemsphysicsuniversalbehaviorefimovinteractionlengthnuclear
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abstract

Physical systems characterized by a shallow two-body bound or virtual state are governed at large distances by a continuous-scale invariance, which is broken to a discrete one when three or more particles come into play. This symmetry induces a universal behavior for different systems, independent of the details of the underlying interaction, rooted in the smallness of the ratio $\ell/a_B \ll 1$, where the length $a_B$ is associated to the binding energy of the two-body system $E_2=\hbar^2/m a_B^2$ and $\ell$ is the natural length given by the interaction range. Efimov physics refers to this universal behavior, which is often hidden by the on-set of system-specific non-universal effects. In this work we identify universal properties by providing an explicit link of physical systems to their unitary limit, in which $a_B\rightarrow\infty$, and show that nuclear systems belong to this class of universality.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exact Renormalization Relation and Binding Energies for Three Identical Bosons

    cond-mat.quant-gas 2025-06 accept novelty 8.0 of 10

    The authors derive exact renormalization and binding-energy relations for the Efimov effect in three identical bosons from the Skorniakov-Ter-Martirosian equation.

  2. Three-baryon femtoscopy as an effective 3$\rightarrow$3 scattering experiment

    nucl-ex 2026-08 conditional novelty 7.0 of 10

    A precision measurement of the three-proton correlation function in pp collisions at 13.6 TeV provides the first direct probe of unbound three-baryon continuum dynamics and shows sensitivity to the partial-wave struct...

  3. The Unitarity-Limit Expansion for Two Nucleons with Perturbative Pions: Digest and Ideas

    nucl-th 2025-04 conditional novelty 6.0 of 10

    Dropping the Wigner-SU(4)-breaking tensor part of one-pion exchange at N2LO fixes the 3S1 channel and leads to a hypothesis that this part stays weak up to pion-scale momenta.

  4. Nucleon-nucleon correlation functions from different interactions in comparison

    nucl-th 2025-05 conditional novelty 4.0 of 10

    Correlation functions computed with AV18, NV2-IIa, and NV2-IIb interactions differ by at most a few percent, confirming that the Koonin-Pratt observable is largely constrained by the phase shifts the potentials were f...

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