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Related papers: Universal behaviour of four-boson systems from a f…

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We compute binding energies and root mean square radii for weakly bound systems of $N=4$ and $5$ identical bosons. Ground and first excited states of an $N$-body system appear below the threshold for binding the system with $N-1$ particles.…

Quantum Gases · Physics 2010-06-11 M. T. Yamashita , D. V. Fedorov , A. S. Jensen

The energy spectrum for three species of identical fermionic atoms close to a Feshbach resonance is computed by use of a nonperturbative flow equation. Already a simple truncation shows that for large scattering length $|a|$ the lowest…

Superconductivity · Physics 2009-01-19 S. Floerchinger , R. Schmidt , S. Moroz , C. Wetterich

Efimov physics is renowned for the self-similar spectrum featuring the universal ratio of one eigenenergy to its neighbor. Even more esoteric is the numerically unveiled fact that every Efimov trimer is accompanied by a pair of tetramers.…

Quantum Gases · Physics 2016-12-07 Yusuke Horinouchi , Masahito Ueda

A Wilsonian renormalisation group is used to study nonrelativistic two-body scattering by a short-ranged potential. We identify two fixed points: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of…

Nuclear Theory · Physics 2009-12-04 Michael C. Birse , Judith A. McGovern , Keith G. Richardson

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 investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

We determine the three-body bound states of an atom in a Fermi mixture. Compared to the Efimov spectrum of three atoms in vacuum, we show that the Fermi seas deform the Efimov spectrum systematically. We demonstrate that this effect is more…

Atomic Physics · Physics 2020-08-04 Ali Sanayei , Ludwig Mathey

We report on the observation of triatomic Efimov resonances in an ultracold gas of cesium atoms. Exploiting the wide tunability of interactions resulting from three broad Feshbach resonances in the same spin channel, we measure…

We use functional integral methods for an estimate of the three-body loss in a three-component $^6$Li ultracold atom gas. We advocate a simple picture where the loss proceeds by the formation of a three-atom bound state, the trion. In turn,…

Other Condensed Matter · Physics 2009-06-12 R. Schmidt , S. Floerchinger , C. Wetterich

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments…

Quantum Gases · Physics 2013-04-30 A. G. Volosniev , J. R. Armstrong , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

Spinor condensates have proven to be a rich area for probing many-body phenomena richer than that of an ultracold gas consisting of atoms restricted to a single spin state. In the strongly correlated regime, the physics controlling the…

Quantum Physics · Physics 2014-12-30 V. E. Colussi , Chris H. Greene , J. P. D'Incao

The bound state spectrum of the massive Thirring model is studied in the framework of the canonical quantization in the rest frame. First, we quantize the field with the massless free fermion basis states. Then, we make a Bogoliubov…

High Energy Physics - Theory · Physics 2009-11-07 Makoto Hiramoto , Takehisa Fujita

We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channel model. The rate of inelastic processes due to…

Other Condensed Matter · Physics 2009-11-13 Mattia Jona-Lasinio , Ludovic Pricoupenko , Yvan Castin

We exploit the renormalization-group approach to establish the {\em exact} infrared behavior of an interacting Bose system at zero temperature. The local-gauge symmetry in the broken-symmetry phase is implemented through the associated Ward…

Statistical Mechanics · Physics 2009-11-10 F. Pistolesi , C. Castellani , C. Di Castro , G. C. Strinati

We apply renormalisation-group methods to two-body scattering by a combination of known long-range and unknown short-range potentials. We impose a cut-off in the basis of distorted waves of the long-range potential and identify possible…

High Energy Physics - Phenomenology · Physics 2009-11-07 Thomas Barford , Michael C. Birse

Efimov trimers are exotic three-body quantum states that emerge from the different types of three-body continua in the vicinity of two-atom Feshbach resonances. In particular, as the strength of the interaction is decreased to a critical…

Quantum Gases · Physics 2024-03-12 Yaakov Yudkin , Roy Elbaz , José P. D'Incao , Paul S. Julienne , Lev Khaykovich

Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael C. Birse , Judith A. McGovern , Keith G. Richardson

We investigate the two lowest-lying weakly bound states of $N \leq 8$ bosons as functions of the strength of two-body Gaussian interactions. We observe the limit for validity of Efimov physics. We calculate energies and second radial…

Quantum Physics · Physics 2017-12-22 S. E. Rasmussen , A. S. Jensen , D. V. Fedorov

We use universality in two-body dipolar physics to study three-body recombination. We present results for the universal structure of weakly bound two-dipole states that depend only on the s-wave scattering length ($a$). We study threshold…

Atomic Physics · Physics 2015-05-18 Chris Ticknor , Seth T. Rittenhouse

Macro properties of cold atomic gases are driven by few-body correlations, even if the gas has thousands of particles. Quantum systems composed of two and three particles with attractive zero\=/range pairwise interactions are considered for…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti