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We investigate the low-energy scattering properties of two identical particles interacting via the polarized quadrupolar interaction. It is shown that a series of $s$- and $p$-wave resonances appear for identical bosons and fermions,…

Quantum Gases · Physics 2023-02-22 Fulin Deng , Wenxian Zhang , Su Yi

We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these…

High Energy Physics - Theory · Physics 2015-06-25 Marcus Alfred , Petero Kwizera , James V. Lindesay , H. Pierre Noyes

Employing a short-range two-channel description we derive an analytic model of atoms in isotropic and anisotropic harmonic traps at a Feshbach resonance. On this basis we obtain a new parameterization of the energy-dependent scattering…

Quantum Gases · Physics 2011-03-09 Philipp-Immanuel Schneider , Yulian V. Vanne , Alejandro Saenz

We study the structure of two-body s-wave bound states as well as resonances in the threshold energy region. We focus on the single-channel scattering where the scattering length and the effective range are given by real numbers. It is…

High Energy Physics - Phenomenology · Physics 2013-10-03 Tetsuo Hyodo

Revealing the quantum properties of matter requires a high degree of experimental control accompanied by a profound theoretical understanding. At ultracold temperatures, quantities that appear continuous in everyday life, such as the…

The low energy scattering of heavy positively charged particles on hydrogen atoms (H) are investigated by solving the Faddeev equations in configuration space. A resonant value of the pH scattering length, $a=750\pm 5$ a.u., in the pp…

Quantum Physics · Physics 2009-11-07 R. Lazauskas , J. Carbonell

The scattering length is commonly used to characterize the strength of ultracold atomic interactions, since it is the leading parameter in the low-energy expansion of the scattering phase shift. Its value can be modified via a magnetic…

Atomic Physics · Physics 2009-11-13 Bout Marcelis , Boudewijn Verhaar , Servaas Kokkelmans

Feshbach resonances are commonly described by a single-resonance Feshbach model, and open-channel resonances are not taken into account explicitly. However, an open-channel resonance near threshold limits the range of validity of this…

Other Condensed Matter · Physics 2009-11-10 B. Marcelis , E. G. M. van Kempen , B. J. Verhaar , S. J. J. M. F. Kokkelmans

We consider a three-particle quantum system in dimension three composed of two identical fermions of mass one and a different particle of mass $m$. The particles interact via two-body short range potentials. We assume that the Hamiltonians…

Mathematical Physics · Physics 2018-03-28 Giulia Basti , Alessandro Teta

Two-component Fermi and Bose gases with infinitely large interspecies s-wave scattering length $a_s$ exhibit a variety of intriguing properties. Among these are the scale invariance of two-component Fermi gases with equal masses, and the…

Quantum Gases · Physics 2015-05-20 D. Blume , K. M. Daily

We discuss several issues important for experimentally observing Efimov physics in ultracold quantum gases. By numerically solving the three-boson Schr\"odinger equation over a broad range of scattering lengths and energies, and by…

Other Condensed Matter · Physics 2009-02-10 J. P. D'Incao , Chris H. Greene , B. D. Esry

We investigate the energy dependence of inelastic processes in systems which possess Efimov states. We consider the three-body recombination rate $K_3$ where three free atoms interact to produce an atom--dimer pair, and the relaxation rate…

Atomic Physics · Physics 2016-10-20 D. Shu , I. Simbotin , R. Côté

Lattice simulations of light nuclei necessarily take place in finite volumes, thus affecting their infrared properties. These effects can be addressed in a model-independent manner using Effective Field Theories. We study the model case of…

Nuclear Theory · Physics 2016-08-14 Simon Kreuzer , Harald W. Grießhammer

We study the three-body system with short-range interactions characterized by an unnaturally large two-body scattering length. We show that the off-shell scattering amplitude is cutoff independent up to power corrections. This allows us to…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , Thomas Mehen

A universal characterization of interactions in few- and many-body quantum systems is often possible without detailed description of the interaction potential, and has become a defacto assumption for cold atom research. Universality in this…

Other Condensed Matter · Physics 2017-08-23 Nathan Gemelke , Chen-Lung Hung , Xibo Zhang , Cheng Chin

Efimov physics is a universal phenomenon arising in quantum three-body systems. For systems with resonant two-body interactions, Efimov predicted an infinite series of three-body bound states with geometric scaling symmetry. These Efimov…

Quantum Gases · Physics 2017-09-13 Jacob Johansen , B. J. DeSalvo , Krutik Patel , Cheng Chin

Feshbach resonances in ultra-cold atomic gases have led to some of the most important advances in atomic physics. They did not only enable ground breaking work in the BEC-BCS crossover regime [1], but are also widely used for the…

Atomic Physics · Physics 2018-07-04 Oliver Thomas , Carsten Lippe , Tanita Eichert , Herwig Ott

We analyse the recent experiments investigating the low-energy physics of three lithium 6 atoms in different internal states with resonant two-body scattering lengths. All observed features are qualitatively consistent with the expected…

Quantum Gases · Physics 2011-04-19 Pascal Naidon , Masahito Ueda

We discuss the atom-atom scattering problem across a Feshbach resonance in a two-dimensional dilute Bose gas at zero temperature, in the limit where the s-wave scattering length exceeds the width of the vertical confinement. We determine a…

Other Condensed Matter · Physics 2009-11-11 K. K. Rajagopal , P. Vignolo , M. P. Tosi

Relativistic close coupling calculations are reported for unified electronic recombination of (e + C IV) including non-resonant and resonant recombination processes, radiative and dielectronic recombination (RR and DR). Detailed comparison…

Astrophysics · Physics 2008-11-26 Anil K. Pradhan , Guo Xin Chen , Sultana N. Nahar , Hong Lin Zhang