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The Efimov phenomenon manifests itself as an emergent discrete scaling symmetry in the quantum three-body problem. In the unitarity limit, it leads to an infinite tower of three-body bound states with energies forming a geometric sequence.…

Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the Thomas theorem assuming a simple interaction depending on the range of the potential. We discuss the conditions for which an unbound…

核理论 · 物理学 2020-08-13 H. Zheng , A. Bonasera

Few-body systems with access to multiple internal levels exhibit richness beyond that typically found in their single-level counterparts. One example is that of Efimov states in strongly-correlated spinor three-body systems. In [V. E.…

量子物理 · 物理学 2016-04-08 V. E. Colussi , Chris H. Greene , J. P. D'Incao

We consider the evolution of the neutron-nucleus scattering length for the lightest nuclei. We show that, when increasing the number of neutrons in the target nucleus, the strong Pauli repulsion is weakened and the balance with the…

核理论 · 物理学 2019-12-12 Jaume Carbonell , Emiko Hiyama , Rimantas Lazauskas , F. Miguel Marqués

We consider a system of three particles in dimension 4 and higher interacting via short-range potentials, where the two-body Hamiltonians have a virtual level at the bottom of the essential spectrum. In dimensions 2 (in case of fermions)…

数学物理 · 物理学 2020-01-08 Simon Barth , Andreas Bitter

The trajectory of the first excited Efimov state is investigated by using a renormalized zero-range three-body model for a system with two bound and one virtual two-body subsystems. The approach is applied to $n-n-^{18}$C, where the $n-n$…

核理论 · 物理学 2011-03-28 M. T. Yamashita , T. Frederico , Lauro Tomio

The pole trajectory of Efimov states for a three-body $\alpha\alpha\beta$ system with $\alpha\alpha$ unbound and $\alpha\beta$ bound is calculated using a zero-range Dirac-$\delta$ potential. It is showed that a three-body bound state turns…

核理论 · 物理学 2009-01-16 M. T. Yamashita , T. Frederico , L. Tomio

We study the impact of three-body physics in quenched unitary Bose gases, focusing on the role of the Efimov effect. Using a local density model, we solve the three-body problem and determine three-body decay rates at unitary, finding…

原子物理 · 物理学 2018-07-18 J. P. D'Incao , J. Wang , V. E. Colussi

Three interacting particles form a system which is well known for its complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov's prediction of a universal set of weakly bound trimer states appearing for…

其他凝聚态物理 · 物理学 2009-11-11 H. -C. Naegerl , T. Kraemer , M. Mark , P. Waldburger , J. G. Danzl , B. Engeser , A. D. Lange , K. Pilch , A. Jaakkola , C. Chin , R. Grimm

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

核理论 · 物理学 2011-02-14 H. -W. Hammer , L. Platter

The Efimov effect is an intriguing three-body quantum phenomenon. Searching for Efimov states within the realms of nuclear and hadronic physics presents a challenge due to the inherent inability of natural physical systems to exhibit…

高能物理 - 唯象学 · 物理学 2025-06-11 Hai-Long Fu , Yong-Hui Lin , Feng-Kun Guo , Hans-Werner Hammer , Ulf-G. Meißner , Akaki Rusetsky , Xu Zhang

We investigate emergence of halos and Efimov states in nuclei by use of a newly designed model which combines self-consistent mean-field and three-body descriptions. Recent interest in neutron heavy calcium isotopes makes $^{72}$Ca…

核理论 · 物理学 2018-02-07 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

Efimov effect is characterized by an infinite number of three-body bound states following a universal geometric scaling law at two-body resonances. In this paper, we investigate the influence of two-body loss which can be described by a…

量子气体 · 物理学 2024-09-27 Mingyuan Sun , Chang Liu , Zhe-Yu Shi

The low-energy neutron$-^{19}$C scattering in a neutron-neutron-core model is studied with large scattering lengths near the conditions for the appearance of an Efimov state. We show that the real part of the elastic $s-$wave phase-shift…

核理论 · 物理学 2008-12-18 M. T. Yamashita , T. Frederico , Lauro Tomio

Quantum theory dictates that upon weakening the two-body interaction in a three-body system, an infinite number of three-body bound states of a huge spatial extent emerge just before these three-body states become unbound. Three helium…

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…

核理论 · 物理学 2022-10-05 A. Kievsky , L. Girlanda , M. Gattobigio , M. Viviani

When two non-relativistic particles interact resonantly in three dimensions, an infinite tower of three-body bound states emerges, exhibiting a discrete scale invariance. This universal phenomenon, known as the Efimov effect, has garnered…

量子气体 · 物理学 2026-04-16 Ning Sun , Lei Feng , Pengfei Zhang

The Efimov effect, with its ladder of weakly bound three-atomic molecules, poses intriguing questions in the theoretically controversial and experimentally demanding regime of merging of the first excited Efimov energy level with the…

量子气体 · 物理学 2020-04-07 Yaakov Yudkin , Roy Elbaz , Lev Khaykovich

Near two-body unitarity, the three-boson system is characterized by an approximate discrete scale invariance manifest in a geometric tower of bound states (the Efimov effect). In the absence of a strong four-body force, the four-boson…

原子物理 · 物理学 2024-04-03 Feng Wu , T. Frederico , R. Higa , U. van Kolck

Three-boson Efimov physics is well known in the bound-state regime, but far less in the three-particle continuum at negative two-particle scattering length where Efimov states evolve into resonances. They are studied solving rigorous…

量子气体 · 物理学 2021-02-01 A. Deltuva
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