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We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

We use the Tridiagonal Representation Approach (TRA) to obtain exact bound states solution (energy spectrum and wavefunction) of the Schr\"odinger equation for a three-parameter short-range potential with 1/r, 1/r^2 and 1/r^3 singularities…

Quantum Physics · Physics 2019-07-08 A. D. Alhaidari

Guided by the observed properties of hadrons I formulate a perturbative bound state method for QED and QCD. The expansion starts with valence Fock states ($e^+e^-,\ q\bar q,\ qqq,\ gg$) bound by the instantaneous interaction of temporal…

High Energy Physics - Phenomenology · Physics 2021-08-31 Paul Hoyer

New calculations of the quasi-bound state in the $K^- pp$ system using Faddeev-type equations in AGS form with coupled $\bar{K}NN$ and $\pi \Sigma N$ channels were performed. A chiral $\bar{K}N$ potential together with phenomenological…

Nuclear Theory · Physics 2015-06-19 J. Revai , N. V. Shevchenko

A novel unified Hamiltonian approach is proposed to solve Maxwell-Schrodinger equation for modeling the interaction between classical electromagnetic (EM) fields and particles. Based on the Hamiltonian of electromagnetics and quantum…

We investigate the relation between the \eta ^3He binding energy and width and the (complex) \eta ^3He scattering length. Following our systematic analysis of the eta 3He scattering length we set limits on the \eta ^3He binding. If bound…

Nuclear Theory · Physics 2009-11-10 A. Sibirtsev , J. Haidenbauer , J. A. Niskanen , Ulf-G. Meißner

We investigate the properties of quantum electrodynamics $(QED_3)$ in two spatial dimensions at finite temperature and density. The static as well as the dynamical properties of the planar plasma are calculated using the real time formalism…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martin Klein-Kreisler , Manuel Torres

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 a model of three electrons and one hole confined in a two-dimensional (2D) plane, interacting with one another through Coulomb forces. Using a Ritz variational method we find an upper bound of \approx -0.0112me^4/8\pi^2 \epsilon…

Strongly Correlated Electrons · Physics 2007-05-23 Nie Luo

The extended boundary condition method (EBCM) was formulated for the perturbation of a source electric potential by a 3D object composed of a homogeneous anisotropic dielectric medium whose relative permittivity dyadic is positive definite.…

Applied Physics · Physics 2022-10-18 Akhlesh Lakhtakia , Hamad M. Alkhoori , Nikolaos L. Tsitsas

The parity-preserving $U(1)\times U(1)$ massless QED$_3$ is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses and charges of the quasiparticles…

High Energy Physics - Theory · Physics 2020-10-07 W. B. De Lima , O. M. Del Cima , E. S. Miranda

The three-nucleon system is studied at energies a few hundred keV above the N-d threshold. Measurements of the tensor analyzing powers $T_{20}$ and $T_{21}$ for p-d elastic scattering at $E_{c.m.}=432$ keV are presented together with the…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , S. Rosati , M. Viviani , C. R. Brune , H. J. Karwowski , E. J. Ludwig , M. H. Wood

We solve the Faddeev bound-state equations for three particles with simple two-body nonlocal, separable potentials that yield a scattering length twice as large as a positive effective range, as indicated by some lattice QCD simulations.…

Nuclear Theory · Physics 2024-01-17 V. S. Timoteo , U. van Kolck

In electronic structure calculations, the correlation energy is defined as the difference between the mean field and the exact solution of the non relativistic Schr\"odinger equation. Such an error in the different calculations is not…

Quantum Physics · Physics 2022-04-04 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

The impacts of both exchange interaction and electron correlation, as well as their combined impact, on electron elastic scattering off a semifilled shell Mn(...$3d^{5}$$4s^{2}$, $^{6}S$) atom are theoretically studied in the electron…

Atomic Physics · Physics 2013-08-15 V. K. Dolmatov , M. Ya. Amusia , L. V. Chernysheva

We study the problem of energy relaxation in a one-dimensional electron system. The leading thermalization mechanism is due to three-particle collisions. We show that for the case of spinless electrons in a single channel quantum wire the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Tobias Micklitz , Alex Levchenko

Multichannel quantum defect theory is applied in the treatment of the dissociative recombination and vibrational excitation processes for the BeD$^+$ ion in the twenty four vibrational levels of its ground electronic state…

Collisions between cold polar molecules represent a fascinating research frontier, but have proven hard to probe experimentally. We report measurements of inelastic cross sections for collisions between NO and ND 3 molecules at energies…

We study numerically the existence and character of bound states for positive and negative point charges shielded by the response of a two-dimensional homogeneous electron gas. The problem is related to many physical situations and has…

Materials Science · Physics 2007-05-23 I. Nagy , M. J. Puska , N. Zabala