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A formalism is presented which allows covariant three-dimensional bound-state equations to be derived systematically from four-dimensional ones without the use of delta-functions. The amplitude for the interaction of a bound state described…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , S. J. Wallace

We propose a method of controlling two- and three-body interactions in an ultracold Bose gas in any dimension. The method requires us to have two coupled internal single-particle states split in energy such that the upper state is occupied…

Quantum Gases · Physics 2014-03-12 D. S. Petrov

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

The quantum mechanical three-body problem is a source of continuing interest due to its complexity and not least due to the presence of fascinating solvable cases. The prime example is the Efimov effect where infinitely many bound states of…

Within the universal zero-range theory, we compute the three-body recombination rate to deep molecular states for two identical bosons resonantly interacting with each other and with a third atom of another species, in the absence of weakly…

Quantum Gases · Physics 2015-08-27 D. S. Petrov , F. Werner

The work described in this paper is the first step toward a relativistic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we…

High Energy Physics - Phenomenology · Physics 2010-03-04 H. -C. Jean , D. Robson , A. G. Williams

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding…

Nuclear Theory · Physics 2009-10-31 Ch. Elster , W. Schadow , A. Nogga , W. Gloeckle

We consider the ground state of a harmonically trapped Bose-Einstein condensate within the Gross-Pitaevskii theory including the effective-range corrections for a two-body zero-range potential. The resulting non-linear Schr\"odinger…

Quantum Gases · Physics 2009-10-28 M. Thøgersen , N. T. Zinner , A. S. Jensen

The low-lying spectrum of the three-dimensional Ising model is investigated numerically; we made use of an equivalence between the excitation gap and the reciprocal correlation length. In the broken-symmetry phase, the magnetic excitations…

Statistical Mechanics · Physics 2009-11-13 Yoshihiro Nishiyama

We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and…

Quantum Physics · Physics 2012-06-26 P. R. Johnson , D. Blume , X. Y. Yin , W. F. Flynn , E. Tiesinga

In present work, we study an numerical approach to one dimensional finite volume three-body interaction, the method is demonstrated by considering a toy model of three spinless particles interacting with pair-wise $\delta$-function…

High Energy Physics - Lattice · Physics 2018-01-31 Peng Guo , Vladimir Gasparian

We study a system of two bosons of one species and a third boson of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter- and intra-species interactions. By means of an exact…

Quantum Gases · Physics 2014-12-05 M. A. García-March , B. Juliá-Díaz , G. E. Astrakharchik , J. Boronat , A. Polls

We investigate a system of dipolar bosons in an optical lattice with local two and three-body interactions. Using the mean-field theory approach, we obtain the ground state phase diagram of the extended Bose-Hubbard (EBH) model with both…

Quantum Gases · Physics 2016-12-21 Manpreet Singh , Tapan Mishra

We analyze a system of self-gravitating identical bosons by means of a semirelativistic Hamiltonian comprising the relativistic kinetic energies of the involved particles and added (instantaneous) Newtonian gravitational pair potentials.…

High Energy Physics - Theory · Physics 2008-11-26 Richard L. Hall , Wolfgang Lucha

The structure and $B(E1)$ transition strength of $^{19}$B are investigated in a $^{17}\text{B}+n+n$ model, triggered by a recent experiment showing that $^{19}$B exhibits a well pronounced two-neutron halo structure. Preliminary analysis of…

Nuclear Theory · Physics 2020-12-02 J. Casal , E. Garrido

Using the adaptive time-dependent density matrix renormalization group method, we numerically investigate the expansion dynamics of bosons in a one-dimensional hard-core boson model with three-body interactions. It is found that the bosons…

Quantum Physics · Physics 2015-10-08 Jie Ren , Yin-Zhong Wu , Xue-Fen Xu

In recent years researchers have attempted to improve the continuum state three-body wavefunction for three, mutually interacting Coulomb particles by including, so called, local momentum effects, which depend upon the logarithmic gradient…

Atomic Physics · Physics 2009-09-25 M. J. Schillaci

Three variational approaches, the hyperspherical-harmonics, Gaussian-basis and Lagrange-mesh methods involving different coordinate systems, are compared in studies of $0^+$ bound-state energies in 3$\alpha$ models. Calculations are…

Nuclear Theory · Physics 2009-11-11 E. M. Tursunov , D. Baye , P. Descouvemont

The Horndeski gauge-gravity coupling is the leading non-minimal interaction between gravity and gauge bosons, and it preserves all the symmetries and the number of physical degrees of freedom of the standard model of particle physics and…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-27 Alireza Allahyari , Mohammad Ali Gorji , Shinji Mukohyama