English
Related papers

Related papers: Effective forces between quantum bound states

200 papers

Entanglement and interference are both hallmark effects of quantum physics. Particularly rich dynamics arise when multiple (at least partially) indistinguishable particles are subjected to either of these phenomena. By combining both…

Controlling the interactions between atoms with external fields opened up new branches in physics ranging from strongly correlated atomic systems to ideal Bose and Fermi gases and Efimov physics. Such control usually prepares samples that…

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

In recent years, an interest in the study of quantum information has grown within the high-energy particle physics community. The possibility to establish the presence of entanglement at particle colliders, such as the Large Hadron Collider…

High Energy Physics - Phenomenology · Physics 2022-11-09 Luca Mantani

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

We extend Nuclear Lattice Effective Field Theory (NLEFT) to medium-mass nuclei, and present results for the ground states of alpha nuclei from $^4$He to $^{28}$Si, calculated up to next-to-next-to-leading order (NNLO) in the EFT expansion.…

Nuclear Theory · Physics 2014-04-11 Timo A. Lähde , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner , Gautam Rupak

I present recent results on few-body correlations in nuclear matter at finite temperatures and densities. In particular I focus on the four-body correlations. The alpha-particle is the strongest bound state. The investigation is done based…

Nuclear Theory · Physics 2007-05-23 M. Beyer

We consider a dimer formed by two particles with an attractive contact interaction in one dimension, colliding with a hard wall. We compute the scattering phase shifts and the reflection coefficients for various collision energies and…

Quantum Gases · Physics 2026-03-17 Xican Zhang , Shina Tan

We present new calculations of the $\alpha$-particle which are based on the most modern nucleon-nucleon interactions alone and combined with the Tucson-Melbourne or the Urbana IX three-nucleon interaction. Results for the binding energies…

Nuclear Theory · Physics 2009-07-09 A. Nogga , H. Kamada , W. Gloeckle

We study two interacting quantum particles forming a bound state in $d$-dimensional free space, and constrain the particles in $k$ directions to $(0,\infty)^k \times \mathbb{R}^{d-k}$, with Neumann boundary conditions. First, we prove that…

Mathematical Physics · Physics 2022-03-31 Barbara Roos , Robert Seiringer

We consider weakly bound diatomic molecules (dimers) formed in a two-component atomic Fermi gas with a large positive scattering length for the interspecies interaction. We develop a theoretical approach for calculating atom-dimer and…

Statistical Mechanics · Physics 2009-02-05 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

We develop an Effective Field Theory (EFT) for a system with three distinguishable atomic species and present a variational calculation of the two and three-body binding energies in vacuum and in the presence of a single Fermi sea.…

Quantum Gases · Physics 2026-05-19 Ronnie Slowinski , Gaël Servignat , Frédéric Chevy , Carlos Lobo

Using non-relativistic effective Lagrangians in the particle-dimer picture, we rederive the expression for the energy shift of a loosely bound three-particle bound state of identical bosons in the unitary limit. The effective field theory…

High Energy Physics - Lattice · Physics 2017-10-25 H. -W. Hammer , J. -Y. Pang , A. Rusetsky

We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from…

Mathematical Physics · Physics 2015-06-03 Rupert L. Frank , Robert Seiringer

We study the quantum self-organization of a few interacting particles with strong short-range interactions. The physical system is modeled via a 2D Hubbard square lattice model, with a nearest-neighbor interaction term of strength U and a…

Strongly Correlated Electrons · Physics 2023-11-28 Ioannis Kleftogiannis , Ilias Amanatidis

We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigid discrete objects which are free to move and rotate in…

Analysis of PDEs · Mathematics 2021-04-29 Tobias Kies , Carsten Gräser

High-energy colliders enable the testing of quantum mechanics at its most fundamental level, in the presence of strong and electroweak interactions, with systems that consist of qubits (fermions) and qutrits (massive spin-1 bosons). Quantum…

Quantum Physics · Physics 2025-10-07 M. Fabbrichesi , R. Floreanini , L. Marzola

We introduce a major theoretical generalization of existing techniques for handling the three-body problem that accurately describes the interactions among four fermionic atoms. Application to a two-component Fermi gas accurately determines…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , Seth T. Rittenhouse , N. P. Mehta , Chris H. Greene

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

Nuclear Theory · Physics 2025-12-02 U. van Kolck

Collisions of two fermionic dimers near the unitary limit are studied using exact four-particle equations for transition operators in momentum space. Universal properties of dimer-dimer phase shifts and effective range expansion (ERE)…

Quantum Gases · Physics 2017-08-09 A. Deltuva