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Related papers: Three-Body Halos in Two Dimensions

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Halo nuclei are characterized by a few weakly bound halo nucleons and a more tightly bound core. This separation of scales can be exploited in a few-body description of halo nuclei, since the detailed structure of the core is not resolved…

Nuclear Theory · Physics 2023-02-03 H. -W. Hammer

Using an effective field-theoretical approach, we investigate the properties of weakly bound two-neutron halo nuclei (also known as Borromean nuclei) that do not support a low-energy $s$-wave core-neutron resonance. Extending the recently…

Nuclear Theory · Physics 2025-07-30 Davi B. Costa , Masaru Hongo , Dam Thanh Son

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

The Efimov effect for three bosons in three dimensions requires two infinitely large $s$-wave scattering lengths. We assume two identical particles with very large scattering lengths interacting with a third particle. We use a novel…

Atomic and Molecular Clusters · Physics 2020-08-03 E. R. Christensen , A. S. Jensen , E. Garrido

Two- and three-body correlations in partially filled degenerate fermion shells are studied numerically for various interactions between the particles. Three distinct correlation regimes are defined, depending on the short-range behavior of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , John J. Quinn

We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions $(D)$, we…

A new class of universal "three-body" bound states has been recently predicted theoretically for identical fermions interacting at p-wave resonance in two dimensions. This phenomenon is called the super Efimov effect since the binding…

Quantum Gases · Physics 2017-03-15 Pengfei Zhang , Zhenhua Yu

The structure of few-fermion systems having $1/2$ spin-isospin symmetry is studied using potential models. The strength and range of the two-body potentials are fixed to describe low energy observables in the angular momentum $L=0$ state…

Nuclear Theory · Physics 2016-03-23 A. Kievsky , M. Gattobigio

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate…

Other Condensed Matter · Physics 2009-11-13 Lucas Platter , Chen Ji , Daniel R. Phillips

Universal behaviour has been found inside the window of Efimov physics for systems with $N=4,5,6$ particles. Efimov physics refers to the emergence of a number of three-body states in systems of identical bosons interacting {\it via} a…

Quantum Gases · Physics 2015-06-17 M. Gattobigio , A. Kievsky

Two-component Fermi and Bose gases with infinitely large interspecies s-wave scattering length $a_s$ exhibit a variety of intriguing properties. Among these are the scale invariance of two-component Fermi gases with equal masses, and the…

Quantum Gases · Physics 2015-05-20 D. Blume , K. M. Daily

Three-body systems that are continuously squeezed from a three-dimensional (3D) space into a two-dimensional (2D) space are investigated. Such a squeezing can be obtained by means of an external confining potential acting along a single…

Quantum Gases · Physics 2020-08-19 E. Garrido , A. S. Jensen

In a many-body localized (MBL) quantum system, the ergodic hypothesis breaks down completely, giving rise to a fundamentally new many-body phase. Whether and under which conditions MBL can occur in higher dimensions remains an outstanding…

Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the $\boldsymbol{^9}$Be nucleus, showing…

Nuclear Theory · Physics 2020-03-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho , L. Fortunato , A. Vitturi

When the scattering length is proportional to the distance from the center of the system, two particles are shown to be trapped about the center. Furthermore, their spectrum exhibits discrete scale invariance, whose scale factor is…

Quantum Gases · Physics 2015-03-20 Yusuke Nishida , Dean Lee

We treat three-dimensional bosonic clusters wih up to N=40 atoms, interacting additively through two-body Van der Waals potentials, in the near-threshold regime. Our study inludes super-borromean systems with N atoms for which all…

Other Condensed Matter · Physics 2009-11-11 G. J. Hanna , D. Blume

Efimov states are a sequence of shallow 3-body bound states that arise when the 2-body scattering length is large. Efimov showed that the binding energies of these states can be calculated in terms of the scattering length and a 3-body…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer , M. Kusunoki

We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be…

Quantum Gases · Physics 2017-10-10 D. Laghi , T. Macrì , A. Trombettoni

Efimov's prediction more than three decades ago that three-body bound states can exist when the pairwise attractions do not bind or only support weakly bound states of a pair, has remained unconfirmed till just the past year. This lecture…

Quantum Physics · Physics 2007-06-11 A. R. P. Rau

Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body…

Nuclear Theory · Physics 2009-03-24 Simon Kreuzer , H. -W. Hammer