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Related papers: Four-boson scale near a Feshbach resonance

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The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction…

Atomic and Molecular Clusters · Physics 2011-10-26 M. R. Hadizadeh , M. T. Yamashita , Lauro Tomio , A. Delfino , T. Frederico

We demonstrate that a four-boson limit-cycle independent of the Efimov one appears in Hamiltonian systems at the unitary limit. The model interaction contains two-, three- and four-body short-range potentials, which disentangle the…

Atomic and Molecular Clusters · Physics 2023-03-28 Tobias Frederico , Mario Gattobigio

The momentum-space structure of the Faddeev-Yakubovsky (FY)components of weakly-bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer…

Soft Condensed Matter · Physics 2012-02-09 M. R. Hadizadeh , M. T. Yamashita , L. Tomio , A. Delfino , T. Frederico

We report recent advances on the study of universal weakly bound four-boson states from the solutions of the Faddeev-Yakubovsky equations with zero-range two-body interactions. In particular, we present the correlation between the energies…

Quantum Gases · Physics 2014-02-26 T. Frederico , A. Delfino , M. R. Hadizadeh , L. Tomio , M. T. Yamashita

The role of an intrinsic four-body scale in universal few-boson systems is the subject of active debate. We study these systems within the framework of effective field theory. For systems of up to six bosons we establish that no four-body…

We consider the non-relativistic four-boson system with short-range forces and large scattering length in an effective quantum mechanics approach. We construct the effective interaction potential at leading order in the large scattering…

Other Condensed Matter · Physics 2009-11-10 L. Platter , H. -W. Hammer , Ulf-G. Meißner

We investigate the multi-channel 4-body scattering system using regularized 2- and 3-body contact interactions. The analysis determines the sensitivity of bound-state energies, scattering phase shifts and cross sections on the cutoff…

Nuclear Theory · Physics 2024-11-04 Sourav Mondal , Rakshanda Goswami , Udit Raha , Johannes Kirscher

We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a narrow Feshbach resonance within a two-channel description, we map the integral equation for…

Other Condensed Matter · Physics 2008-04-17 Alexander O. Gogolin , Christophe Mora , Reinhold Egger

The description of unitary few-boson systems is conceptually simple: only one parameter -- the three-body binding energy -- is required to predict the binding energies of clusters with an arbitrary number of bosons. Whether this correlation…

Nuclear Theory · Physics 2021-06-10 Lorenzo Contessi , Johannes Kirscher , Manuel Pavon Valderrama

Four-body systems are studied using an effective field theory with two- and three-body contact interactions. A method to systematically address deep trimers (three-body bound states that are more tightly bound than four-body bound/resonant…

Nuclear Theory · Physics 2024-03-04 Xincheng Lin

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 two-channel model for bosons with the three-body interaction is proposed. Similar to the Hamiltonian describing narrow Feshbach resonance in the two-body sector, our model includes the finite-range effects of the three-body potential…

Quantum Gases · Physics 2025-06-24 V. Polkanov , O. Hryhorchak , V. Pastukhov

We use the functional renormalisation group to study the spectrum of three- and four-body states in bosonic systems around the unitary limit. Our effective action includes all energy-independent contact interactions in the four-atom sector…

Quantum Gases · Physics 2015-08-12 Benjamin Jaramillo Avila , Michael C. Birse

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

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

Four-boson Efimov physics is well known in the negative energy regime but far less above the four-body breakup threshold. The part of this region with negative two-boson scattering length is studied solving rigorous four-particle scattering…

Nuclear Theory · Physics 2021-06-30 A. Deltuva

We study small clusters of bosons, $A=2,3,4,5,6$, characterized by a resonant interaction. Firstly, we use a soft-gaussian interaction that reproduces the values of the dimer binding energy and the atom-atom scattering length obtained with…

Atomic and Molecular Clusters · Physics 2015-06-12 M. Gattobigio , A. Kievsky , M. Viviani

We consider the four-boson and 3+1 fermionic problems with a model Hamiltonian which encapsulates the mechanism of the Feshbach resonance involving the coherent coupling of two atoms in the open channel and a molecule in the closed channel.…

Quantum Gases · Physics 2011-03-01 Christophe Mora , Yvan Castin , Ludovic Pricoupenko

We calculate the three-body recombination rate into a shallow dimer in a gas of cold bosonic atoms near a Feshbach resonance using a two-channel contact interaction model. The two-channel model naturally describes the variation of the…

Atomic Physics · Physics 2012-04-25 P. K. Sørensen , D. V. Fedorov , A. S. Jensen

Ultracold atomic gases provide a controllable system to study the inelastic processes for three-body systems, where the three-body recombination rate depends on the scattering length scaling. Such scalings have been confirmed in bosonic…

Quantum Gases · Physics 2023-10-24 Jiaming Li , Shuai Peng , Yirou Xu , Shiyin Kuang , Le Luo
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