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We study the quantum field theory of a charged $\phi^4$ field in lattice regularization at finite density and low temperature in 2 and 4 dimensions with the goal of analyzing the connection of condensation phenomena to scattering data in a…

High Energy Physics - Lattice · Physics 2018-06-20 Christof Gattringer , Mario Giuliani , Oliver Orasch

We calculate accurate potential energy curves for a ground-state He$^+$ ion interacting with a He atom in the lowest-energy metastable $^3\!S$ electronic state. We employ the full configuration interaction method, equivalent to exact…

Atomic Physics · Physics 2023-11-30 Jacek Gȩbala , Michał Przybytek , Marcin Gronowski , Michał Tomza

The nonrelativistic energies of the homonuclear ion T$_2^+$ are calculated for the ground state using the Lagrange-mesh method as was done for the isotopomers H$_2^+$ and D$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101 and…

Atomic and Molecular Clusters · Physics 2015-06-19 Horacio Olivares Pilón

We investigate the problem of two atoms interacting via a short range s-wave potential in the presence of a deep optical lattice of arbitrary dimension $D$. Using a tight binding approach, we derive analytical results for the properties of…

Other Condensed Matter · Physics 2009-11-11 M. Wouters , G. Orso

A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is proposed. This expansion reduces the Yakubovsky…

Nuclear Theory · Physics 2007-05-23 S. L. Yakovlev , I. N. Filikhin

The bound state of \nuclide[6][\Lambda\Lambda]{He} is studied as a three-body ($\Lambda\Lambda\alpha$) system in a cluster effective field theory at leading order (LO). We find that the system exhibits the limit cycle which is associated…

Nuclear Theory · Physics 2016-04-20 S. -I. Ando , Y. Oh

We observe the formation of long-range Cs$_2$ Rydberg molecules consisting of a Rydberg and a ground-state atom by photoassociation spectroscopy in an ultracold Cs gas near 6s$_{1/2}$($F$=3,4)$\rightarrow$np$_{3/2}$ resonances (n=26-34).…

Atomic Physics · Physics 2015-06-23 Heiner Saßmannshausen , Frédéric Merkt , Johannes Deiglmayr

A four-body calculation of the $pn\Lambda\Lambda$ bound state, $^{\ 4}_{\Lambda\Lambda}$H, is performed using the stochastic variational method and phenomenological potentials. The $NN$, $\Lambda N$, and $\Lambda\Lambda$ potentials are…

Nuclear Theory · Physics 2008-11-26 H. Nemura , Y. Akaishi , Khin Swe Myint

Scattering on the ${\cal PT}$-symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex $x$ plane from below. This trajectory reflects ${\cal PT}$ symmetry, sets the appropriate boundary…

Quantum Physics · Physics 2009-07-01 Geza Levai , Petr Siegl , Miloslav Znojil

We study dark matter scattering off ${}^4$He and other light nuclei using chiral effective field theory. We consider scalar DM interactions and include both one- and two-nucleon scattering processes. The DM interactions and nuclear wave…

High Energy Physics - Phenomenology · Physics 2024-11-05 J. de Vries , C. Körber , A. Nogga , S. Shain

Atom-dimer exchange and dissociation reaction rates are predicted for different combinations of two $^4$He atoms and one of the alkaline species among $^{6}$Li, $^{7}$Li and $^{23}$Na, by using three-body scattering formalism with…

Atomic and Molecular Clusters · Physics 2020-12-18 Mahdi A. Shalchi , Marcelo T. Yamashita , Tobias Frederico , Lauro Tomio

An intriguing phenomenon in molecular collisions is the occurrence of scattering resonances, which originate from bound and quasi-bound states supported by the interaction potential at low collision energies. The resonance effects in the…

The method and results of the first theory description of 4He Compton scattering at nuclear energies is presented, with a focus on figures. An upcoming publication [1] contains details and a comprehensive list of references.

We calculate binding energies of four molecular solids using the Hartree-Fock (HF) and second-order M{\o}ller-Plesset perturbation theory (MP2). We obtain the energies within many-body expansion (MBE) as well as using periodic boundary…

Chemical Physics · Physics 2022-08-15 J. Hofierka , J. Klimes

We analyse scattering of a heavy atom off a weakly bound molecule comprising an identical heavy and a light atom in the Born-Oppenheimer approximation. We focus on the situation where the heavy atoms are bosons, which was realized in…

Quantum Physics · Physics 2013-05-29 M. A. Efremov , L. Plimak , B. Berg , M. Yu. Ivanov , W. P. Schleich

We investigate an application of twisted boundary conditions for study of low-energy hadron-hadron interactions with L\"ushcer's finite size method. It allows us to calculate the phase shifts for elastic scattering of two hadrons at any…

High Energy Physics - Lattice · Physics 2013-01-24 Sho Ozaki , Shoichi Sasaki

The position and movement of poles of the amplitude for elastic eta-meson scattering off the light nuclei d, t, ^3He, and ^4He are studied. It is found that, within the existing uncertainties for the elementary eta-N interaction, all these…

Nuclear Theory · Physics 2007-05-23 S. A. Rakityansky , S. A. Sofianos , M. Braun , V. B. Belyaev , W. Sandhas

We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of $M_\pi\simeq 450$ MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and…

Nuclear Theory · Physics 2016-07-20 V. Baru , E. Epelbaum , A. A. Filin

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 propose a practical folding model to describe $^{3}$He elastic scattering. In the model, $^{3}$He optical potentials are constructed by making the folding procedure twice. First the nucleon-target potential is evaluated by folding the…

Nuclear Theory · Physics 2015-10-08 Masakazu Toyokawa , Takuma Matsumoto , Kosho Minomo , Masanobu Yahiro