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We have developed an exact, general method to compute Casimir interactions between a finite number of compact objects of arbitrary shape and separation. Here, we present details of the method for a scalar field to illustrate our approach in…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished…

Atomic Physics · Physics 2024-01-12 Krzysztof Pachucki , Vladimir A. Yerokhin

Motivated by the recent article of P. Shea {\it et al.} [Am. J. Phys. {\bf 77} (6), 2009] we examine the exactly solvable problem of two harmonically trapped ultra-cold bosonic atoms interacting {\it via} a short range potential in one and…

Quantum Gases · Physics 2015-05-14 Aaron Farrell , Brandon P. van Zyl

The exchange of spin-0 or spin-1 bosons between fermions or spin-polarised macroscopic objects gives rise to various spin-dependent potentials. We derive the coordinate-space non-relativistic potentials induced by the exchange of such…

High Energy Physics - Phenomenology · Physics 2019-03-06 Pavel Fadeev , Yevgeny V. Stadnik , Filip Ficek , Mikhail G. Kozlov , Victor V. Flambaum , Dmitry Budker

In the phenomenological description of the nuclear interaction a crucial role is traditionally played by the exchange of a scalar I=0 meson, the sigma, of mass 500-600 MeV, which however is not seen clearly in the particle spectrum and…

Nuclear Theory · Physics 2009-11-11 John F. Donoghue

Light is known to exert radiation pressure on any surface it is incident upon, via the transfer of momentum from the light to the surface. In general, this force is assumed to be pushing or repulsive in nature. In this paper, we present a…

Quantum Physics · Physics 2024-11-01 Navdeep Arya , Navketan Batra , Kinjalk Lochan , Sandeep K. Goyal

The energy-spectrum of two point-like particles interacting in a 3-D isotropic Harmonic Oscillator (H.O.) trap is related to the free scattering phase-shifts $\delta$ of the particles by a formula first published by Busch et al. It is here…

Nuclear Theory · Physics 2016-01-20 H. S. Köhler

The two-particle momentum correlation between the Omega-baryon ($\Omega$) and the $^{4}He (\alpha) $ in high-energy heavy ion collisions is explored. Such correlations as an alternative source of information can help us further understand…

Nuclear Theory · Physics 2025-02-10 Faisal Etminan

We study the contributions of off-resonant transitions to the dynamics of a system of N multilevel atoms sharing one excitation and interacting with the quantized vector electromagnetic field. The Rotating Wave Approximation significantly…

Quantum Physics · Physics 2013-12-02 Yevhen Miroshnychenko , Klaus Mølmer

The Casimir-Polder force between two atoms with equal uniform acceleration and separated by a constant distance R is considered. We show that, in the low-acceleration limit, while the near-zone R^{-6} behavior of the interatomic interaction…

Quantum Physics · Physics 2017-08-23 Jamir Marino , Roberto Passante

A microscopic description of nuclei is important to understand the nuclear shell-model from fundamental principles. This is difficult to achieve for more than the lightest nuclei without an effective approximation scheme. The purpose of…

Nuclear Theory · Physics 2013-08-19 Gustav R. Jansen

Within the frame of macroscopic quantum electrodynamics in causal media, the van der Waals interaction between an atomic system and an arbitrary arrangement of dispersing and absorbing dielectric bodies including metals is studied. It is…

Quantum Physics · Physics 2007-05-23 Stefan Yoshi Buhmann , Ho Trung Dung , Dirk-Gunnar Welsch

A simple, approximate relation is found between the total energy of a free atom and its atomic number: E ~= -Z^{2.411}. The existence of this index is inherent in the Coulomb and many-body nature of the electron-electron interaction in the…

Chemical Physics · Physics 2016-09-08 W. T. Geng

The hybrid form is a combination of the Rydberg potential and the London inverse-sixth-power energy. It is accurate at all relevant distance scales and simple enough for use in all-atom simulations of biomolecules. One may compute the…

Biomolecules · Quantitative Biology 2009-11-13 Kevin Cahill

The Helmholtz free-energy W is calculated as a function of separation distance for two molecules in a fluid, A and B, whose mutual interaction is described by a spherically symmetric potential. For the equilibrium A + B = AB occurring in a…

Soft Condensed Matter · Physics 2007-05-23 Richard M. Neumann

An effective two-body interaction is constructed from a new Reid-like $NN$ potential for a large no-core space consisting of six major shells and is used to generate the shell-model properties for light nuclei from $A$=2 to 6. (For…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , J. P. Vary , B. R. Barrett

We obtain the RPA summed one-meson exchange potential between nucleons in symmetric nuclear matter at zero temperature, from a model which includes $\rho $, $\sigma $, $\omega $ and $\pi $ mesons. The behavior of rho mesons inside the…

Nuclear Theory · Physics 2007-05-23 L. Mornas , E. Gallego , A. Perez

Ab-initio Quantum Monte Carlo (QMC) calculations of nuclei from deuterium to 40Ca, obtained using four different phenomenological and local chiral nuclear potentials, are analyzed using the Generalized Contact Formalism (GCF). We extract…

For the interactions between two atoms or between an ion and an electron the connections between the Casimir-Polder-type potentials and the relativistic potentials arising from the Breit-Pauli Hamiltonian are surveyed.

Atomic Physics · Physics 2007-05-23 J. F. Babb

A theoretical approach is described for an exact numerical treatment of a pair of ultracold atoms interacting via a central potential that are trapped in a finite three-dimensional optical lattice. The coupling of center-of-mass and…

Atomic Physics · Physics 2015-05-28 Sergey Grishkevich , Simon Sala , Alejandro Saenz