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A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa

Quantum many-body scars represent a form of weak ergodicity breaking that highlights the unusual physics of thermalization in quantum systems. Understanding scar formation promises insight into the connection between classical statistical…

Quantum Gases · Physics 2025-03-10 William N Faugno , Hosho Katsura , Tomoki Ozawa

The driving terms in three-body theories of elastic and inelastic scattering of a charged particle off a bound state of two other charged particles contain the fully off-shell two-body Coulomb T-matrix describing the intermediate-state…

Nuclear Theory · Physics 2016-09-08 E. O. Alt , A. S. Kadyrov , A. M. Mukhamedzhanov , M. Rauh

We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

We study the multichannel scattering in the classical three-body system and show that the problem can be formulated as a motion of the point mass on a curved hyper-surface of the energy of the body-system. It is proved that the local…

Mathematical Physics · Physics 2015-12-08 Ashot S. Gevorkyan

We review recent work concerning the $\bar{K}N$ interaction and Faddeev equations with chiral dynamics which allow us to look at the $\bar{K}NN$ from a different perspective and pay attention to problems that have been posed in previous…

High Energy Physics - Phenomenology · Physics 2015-06-04 E. Oset , D. Jido , T. Sekihara , A. Martinez Torres , K. P. Khemchandani , M. Bayar , J. Yamagata-Sekihara

Lattice QCD has become an essential tool for studying the hadron-hadron interaction from the first principles. However, when extracting infinite-volume scattering parameters from finite-volume energy levels, the traditional L\"uscher…

High Energy Physics - Lattice · Physics 2025-04-01 Lu Meng , Vadim Baru , Evgeny Epelbaum , Arseniy A. Filin , Ashot M. Gasparyan

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction…

Nuclear Theory · Physics 2009-07-22 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

We employ the (dynamical) density matrix renormalization group technique to investigate the ground-state properties of the Bose-Hubbard model with nearest-neighbor transfer amplitudes t and local two-body and three-body repulsion of…

Quantum Gases · Physics 2015-06-17 S. Ejima , F. Lange , H. Fehske , F. Gebhard , K. zu Münster

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

Schroedinger equation on a Hilbert space ${\cal H}$, represents a linear Hamiltonian dynamical system on the space of quantum pure states, the projective Hilbert space $P {\cal H}$. Separable states of a bipartite quantum system form a…

Quantum Physics · Physics 2009-11-13 Nikola Buric

Employing techniques from scattering amplitudes and effective field theory, we model the dynamics of hierarchical triples, which are three-body systems composed of two bodies separated by a distance $r$ and a third body a distance $\rho$…

High Energy Physics - Theory · Physics 2025-02-07 Mikhail P. Solon , Anna M. Wolz

Three-body resonances in the \bar{K}NN system have been studied within a framework of the \bar{K}NN-\pi YN coupled hannel Faddeev equation. By solving the three-body equation the energy dependence of the resonant \bar{K}N amplitude is fully…

Nuclear Theory · Physics 2008-11-26 Y. Ikeda , T. Sato

We introduce a novel coupled-channels method for elastic three-body scattering in systems of identical bosonic alkali-metal atoms. The approach relies on the numerically exact two-body off-the-energy-shell transition matrix, constructed…

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

Achieving precise control of ultracold atomic gases requires a detailed understanding of atom loss mechanisms. Motivated by the anomalous three-body decay in a three-component Fermi gas reported in Ref. [1], this work investigates…

Quantum Gases · Physics 2026-01-08 Kajsa-My Tempest , Chris H. Greene

Understanding the dynamics of bound state formation is one of the fundamental questions in confining quantum field theories such as Quantum Chromodynamics (QCD). One hadronization mechanism that has garnered significant attention is the…

Quantum Physics · Physics 2024-09-17 Kyle Lee , James Mulligan , Felix Ringer , Xiaojun Yao

The high level of control and precision achievable in current synthetic quantum matter setups has enabled first attempts at quantum-simulating various intriguing phenomena in condensed matter physics, including those probing thermalization…

The three-body recombination coefficient of a trapped ultracold atomic system, together with the corresponding two-body scattering length $a$, allow us to predict the energy $E_3$ of the shallow trimer bound state, using a universal scaling…

Soft Condensed Matter · Physics 2009-11-10 Lauro Tomio , Victo S. Filho , M. T. Yamashita , A. Gammal , T. Frederico

Three-body dynamics above threshold is required for the reliable extraction of many amplitudes and resonances from experiment and lattice QCD. The S-matrix principle of unitarity can be used to construct dynamical coupled-channel approaches…

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