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Related papers: Improving the Feshbach-Rubinow approximation

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We calculate resonances in three-body systems with attractive Coulomb potentials by solving the homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations are solved by using the Coulomb-Sturmian separable…

Atomic Physics · Physics 2009-11-10 Z. Papp , J. Darai , J. Zs. Mezei , Z. T. Hlousek , C-. Y. Hu

A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a…

Nuclear Theory · Physics 2008-11-26 S. Bayegan , M. R. Hadizadeh , M. Harzchi

We study the semisuper-Efimov effect, which is found for four identical bosons with a resonant three-body interaction in 2D, in various systems. Based on solutions of bound-state and renormalization-group equations, we first demonstrate an…

Quantum Gases · Physics 2020-02-19 Yusuke Horinouchi

An effective field theory for the three-body system with large scattering length is applied to three-body recombination to a weakly-bound s-wave state in a Bose gas. Our model independent analysis demonstrates that the three-body…

Condensed Matter · Physics 2009-10-31 P. F. Bedaque , E. Braaten , H. -W. Hammer

Ultracold molecules are associated from an atomic Bose-Einstein condensate by ramping a magnetic field across a Feshbach resonance. The reverse ramp dissociates the molecules. The kinetic energy released in the dissociation process is used…

Statistical Mechanics · Physics 2007-05-23 Stephan Dürr , Thomas Volz , Gerhard Rempe

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

The variational determination of the two-boson reduced density matrix is described for a one-dimensional system of $N$ (where $N$ ranges from $2$ to $10^4$) harmonically trapped bosons interacting via contact interaction. The ground-state…

Quantum Gases · Physics 2026-04-27 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin

We consider the problem of a single \down atom in the presence of a Fermi sea of \up atoms, in the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective mass of the \down atom using two simple approaches: a…

Statistical Mechanics · Physics 2010-07-23 R. Combescot , A. Recati , C. Lobo , F. Chevy

We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body…

Quantum Gases · Physics 2023-09-15 J. van de Kraats , D. J. M. Ahmed-Braun , J. -L. Li , S. J. J. M. F. Kokkelmans

The dynamical atom/molecule projection, recently used to probe fermion pairing, is fast compared to collective fermion times, but slow on the Feshbach resonance width scale. Theory of detuning-induced dynamics of molecules coupled to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. A. Barankov , L. S. Levitov

We investigate the occurrence of Borromean three-body continuum s-wave resonances, in an $\alpha\alpha\beta$ system for large negative two-body scattering lengths. The energy and width are determined by a scaling function with arguments…

Quantum Gases · Physics 2015-03-17 F. Bringas , M. T. Yamashita , T. Frederico , L. Tomio

We have measured a p-wave Feshbach resonance in a single-component, ultracold Fermi gas of potassium atoms. We have used this resonance to enhance the normally suppressed p-wave collision cross-section to values larger than the background…

Condensed Matter · Physics 2009-02-20 C. A. Regal , C. Ticknor , J. L. Bohn , D. S. Jin

Under certain circumstances, three or more interacting particles may form bound states. While the general few-body problem is not analytically solvable, the so-called Efimov trimers appear for a system of three particles with resonant…

Quantum Gases · Physics 2015-05-14 Scott E. Pollack , Daniel Dries , Randall G. Hulet

We present an Asymptotic Bound-state Model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The…

Quantum Gases · Physics 2010-10-27 T. G. Tiecke , M. R. Goosen , J. T. M. Walraven , S. J. J. M. F. Kokkelmans

We consider a system of N nonrelativistic bosons in two dimensions, interacting weakly via a short-range attractive potential. We show that for N large, but below some critical value, the properties of the N-boson bound state are universal.…

Other Condensed Matter · Physics 2007-05-23 H. -W. Hammer , D. T. Son

The reduced dielectric screening in atomically thin semiconductors leads to remarkably strong electron interactions. As a result, bound electron-hole pairs (excitons) and charged excitons (trions), which have binding energies in the…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Sangeet S. Kumar , Brendan C. Mulkerin , Antonio Tiene , Francesca Maria Marchetti , Meera M. Parish , Jesper Levinsen

Very few works exist to date on development of a consistent energy-based coupling of atomistic and continuum models of materials in more than one dimension. The difficulty in constructing such a coupling consists in defining a coupled…

Numerical Analysis · Mathematics 2012-09-11 Alexander V. Shapeev

We review some recent results on the norm approximation to the Schr\"odinger dynamics. We consider $N$ bosons in $\mathbb{R}^3$ with an interaction potential of the form $N^{3\beta-1}w(N^{\beta}(x-y))$ with $0\le \beta<1/2$, and show that…

Mathematical Physics · Physics 2016-11-15 Phan Thành Nam , Marcin Napiórkowski

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…

A method is presented for calculating binding energies and other properties of extended interacting systems using the projected density of transitions (PDoT) which is the probability distribution for transitions of different energies…

Strongly Correlated Electrons · Physics 2009-10-31 Roger Haydock
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