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We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for…

Quantum Gases · Physics 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Highly-elongated quasi-one-dimensional cold atom samples have been studied extensively over the past years experimentally and theoretically. This work determines the energy spectrum of two identical fermions and a third distinguishable…

Quantum Gases · Physics 2015-06-22 D. Blume

We observe "trilobite-like" states of ultracold 85Rb2 molecules, in which a ground-state atom is bound by the electronic wavefunction of its Rydberg-atom partner. We populate these states through the ultraviolet excitation of weakly-bound…

Atomic Physics · Physics 2015-06-15 M. A. Bellos , R. Carollo , J. Banerjee , E. E. Eyler , P. L. Gould , W. C. Stwalley

We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of…

Condensed Matter · Physics 2007-05-23 Thomas Papenbrock

In recent years extensive theoretical and experimental studies of universal few-body physics have led to advances in our understanding of universal Efimov physics [1]. The Efimov effect, once considered a mysterious and esoteric effect, is…

Quantum Gases · Physics 2015-06-03 Jia Wang , J. P. D'Incao , B. D. Esry , Chris H. Greene

We consider coupled quantum two-state systems (qubits) exposed to a global relaxation process. The global relaxation refers to the assumption that qubits are coupled to the same quantum bath with approximately equal strengths, appropriate…

Mesoscale and Nanoscale Physics · Physics 2007-10-03 T. Ojanen , A. O. Niskanen , Y. Nakamura , A. A. Abdumalikov

The hadronic molecular picture of the observed exotic states has inspired numerous investigations into few-body systems. Recently, the lattice effective field theory studied the effect of a three-body interaction on the binding energy of…

Nuclear Theory · Physics 2025-02-04 Ya-Wen Pan , Jun-Xu Lu , Emiko Hiyama , Li-Sheng Geng , Atsushi Hosaka

We study the properties of the lower bound on the exchange-correlation energy in two dimensions. First we review the derivation of the bound and show how it can be written in a simple density-functional form. This form allows an explicit…

Strongly Correlated Electrons · Physics 2010-02-25 E. Rasanen , S. Pittalis , C. R. Proetto , K. Capelle

We study three-body systems composed of $D^{(*)}$, $B^{(*)}$ and $\bar{B}^{(*)}$ in order to look for possible bound states or resonances. In order to solve the three-body problem, we use the fixed center approach for the Faddeev equations…

High Energy Physics - Phenomenology · Physics 2018-04-04 J. M. Dias , L. Roca , S. Sakai

The universal three-body dynamics in ultra-cold binary gases confined to one-dimensional motion are studied. The three-body binding energies and the (2 + 1)-scattering lengths are calculated for two identical particles of mass $m$ and a…

Atomic Physics · Physics 2015-05-13 O. I. Kartavtsev , A. V. Malykh , S. A. Sofianos

We show that the bound states in a three-body system display a Coulomb series with a Gaussian cut-off provided: (i) the system consists of a light particle and two heavy bosonic ones, (ii) the heavy-light short-range potential has a…

Quantum Physics · Physics 2014-07-15 Maxim A. Efremov , Wolfgang P. Schleich

The two and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which…

Quantum Gases · Physics 2019-02-01 V. E. Colussi

Confined to small regions, quantum systems exhibit electronic and structural properties different from their free space behavior. In Coulomb 3-body problems, configurations of close proximity of identically charged particles are classically…

Quantum Physics · Physics 2025-03-20 R. Vilela Mendes

The large distance behavior of weakly bound three-body systems is investigated. The Schr\"{o}dinger equation and the Faddeev equations are reformulated by an expansion in eigenfunctions of the angular part of a corresponding operator. The…

Nuclear Theory · Physics 2008-11-26 D. V. Fedorov , A. S. Jensen , K. Riisager

We calculate the universal spectrum of trimer and tetramer states in heteronuclear mixtures of ultracold atoms with different masses in the vicinity of the heavy-light dimer threshold. To extract the energies, we solve the three- and…

Quantum Gases · Physics 2017-06-05 C. H. Schmickler , H. -W. Hammer , E. Hiyama

We employ the nuclear lattice effective field theory (NLEFT), an efficient tool for nuclear ab initio calculations, to solve the asymmetric multihadron systems. We take the $DD^*K$ three-body system as an illustration to demonstrate the…

High Energy Physics - Phenomenology · Physics 2025-02-05 Zhenyu Zhang , Xin-Yue Hu , Guangzhao He , Jun Liu , Jia-Ai Shi , Bing-Nan Lu , Qian Wang

Properties of the lowest $0^{+}$ states of $^{12}\mathrm{C}$ are calculated to study the role of three-body interactions in the $\alpha$-cluster model. An additional short-range part of the local three-body potential is introduced to…

Nuclear Theory · Physics 2009-11-11 S. I. Fedotov , O. I. Kartavtsev , A. V. Malykh

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

We study the problem of three ultracold fermions in different hyperfine states loaded into a lattice with spatial dimension D=1,2. We consider SU(3)-symmetric attractive interactions and also eventually include a three-body constraint,…

Quantum Gases · Physics 2013-03-01 J. Pohlmann , A. Privitera , I. Titvinidze , W. Hofstetter

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

Materials Science · Physics 2012-02-01 D. J. Priour
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