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The motion of two attractively interacting atoms in an optical lattice is investigated in the presence of a scattering potential. The initial wavefunction can be prepared by using tightly bound exact two-particle eigenfunction for vanishing…

Quantum Gases · Physics 2010-02-25 Christoph Weiss

Ab initio calculation of low energy scattering of electrons (muons) off hydrogen (muonic hydrogen) are performed on the basis of Faddeev-Merkuriev (FM) equations. The explicit contribution of induced dipole interaction in the asymptotic…

Atomic Physics · Physics 2024-12-03 V. A. Gradusov , S. L. Yakovlev

We present an ab-initio calculation of the longitudinal electron scattering response function off 4He with two- and three-nucleon forces and compare to experimental data. The full four-body continuum dynamics is considered via the Lorentz…

Nuclear Theory · Physics 2009-06-16 Sonia Bacca , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

The number of four-body states known to behave universally is small. This work adds a new class of four-body states to this relatively short list. We predict the existence of a universal four-body bound state for heavy-light mixtures…

Quantum Gases · Physics 2015-06-11 D. Blume

Long-range bound states of the excited heteronuclear 3He*--4He* system that dissociate to either 3He(1s2s 3S_1) + 4He(1s2p 3P_j) or 3He(1s2p 3P_j) + 4He(1s2s 3S_1), where j=0, 1, 2, are investigated using both single-channel and…

Atomic and Molecular Clusters · Physics 2015-05-04 Daniel G. Cocks , Gillian Peach , Ian B. Whittingham

A mechanism of disappearance and formation of the Efimov levels of the helium ^4He trimer is studied when the force of the interatomic interaction is changed. It is shown that these levels arise from virtual levels which are in turn formed…

Atomic and Molecular Clusters · Physics 2007-05-23 E. A. Kolganova , A. K. Motovilov

The universal three-body dynamics in ultra-cold binary gases confined to one-dimensional motion are studied. The three-body binding energies and the (2 + 1)-scattering lengths are calculated for two identical particles of mass $m$ and a…

Atomic Physics · Physics 2015-05-13 O. I. Kartavtsev , A. V. Malykh , S. A. Sofianos

We consider the low-energy particle-particle scattering properties in a periodic simple cubic crystal. In particular, we investigate the relation between the two-body scattering length and the energy shift experienced by the lowest-lying…

Quantum Gases · Physics 2016-05-25 Manuel Valiente , Nikolaj Thomas Zinner

Efimov physics relates to 3-body systems with large 2-body scattering lengths a and small effective ranges r. For many systems in nature the assumption of a small effective range is not valid. The present report shows binding energies E of…

Nuclear Theory · Physics 2011-10-07 Sigurd Kohler

The two-body scattering amplitude and energy spectrum of confined ultracold atoms are of fundamental importance for studies of ultracold atom physics. For many systems, one can efficiently calculate these quantities via the zero-range…

Quantum Gases · Physics 2022-02-15 Da-Wu Xiao , Ren Zhang , Peng Zhang

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

The binding energies of the five bound rotational levels $J=0-4$ in the highest vibrational level $v=14$ in the X$^1\Sigma_g^+$ ground electronic state of H$_2$ were measured in a three-step ultraviolet-laser experiment. Two-photon…

Atomic Physics · Physics 2025-02-05 K. -F. Lai , W. Ubachs , M. Beyer

By two-color photoassociation of $^{40}$Ca four weakly bound vibrational levels in the Ca$_2$ \Xpot ground state potential were measured, using highly spin-forbidden transitions to intermediate states of the coupled system $^3\Pi_{u}$ and…

Atomic Physics · Physics 2017-05-24 Evgenij Pachomow , Veit Peter Dahlke , Eberhard Tiemann , Fritz Riehle , Uwe Sterr

Properties of the three-nucleon bound state are examined in the Faddeev formalism, in which the quark-model nucleon-nucleon interaction is explicitly incorporated to calculate the off-shell T-matrix. The most recent version, fss2, of the…

Nuclear Theory · Physics 2009-11-07 Y. Fujiwara , K. Miyagawa , M. Kohno , Y. Suzuki , H. Nemura

In this work, we use McGuire's model to describe scattering of three spinless identical particles in one spatial dimension, we first present analytic solutions of Faddeev's equation for scattering of three spinless particles in free space.…

High Energy Physics - Lattice · Physics 2017-03-29 Peng Guo

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 pursue three-body bound states in a one-dimensional tight-binding lattice described by the Bose-Hubbard model with strong on-site interaction. Apart from the simple strongly-bound "trimer" state corresponding to all three particles…

Other Condensed Matter · Physics 2010-01-05 Manuel Valiente , David Petrosyan , Alejandro Saenz

The recent calculation of the four nucleon continuum spectrum are reviewed. Faddeev-Yakubovsky equations in configuration space have been solved for the four nucleon system with special interest in their scattering states. We present…

Nuclear Theory · Physics 2009-11-07 J. Carbonell

A numerical study of the Faddeev equation for bosons is made with two-body interactions at or close to the Unitary limit. Separable interactions are obtained from phase-shifts defined by scattering length and effective range. In…

Nuclear Theory · Physics 2016-08-14 H. S. K"øhler

The low-energy scattering properties of two aligned identical bosonic and identical fermionic dipoles are analyzed. Generalized scattering lengths are determined as functions of the dipole moment and the scattering energy. Near resonance,…

Other Condensed Matter · Physics 2009-11-13 K. Kanjilal , D. Blume