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Three-body forces, a type of non-perturbative strong interaction, are widely studied in nuclear physics. However, whether their inclusion is necessary in nuclear systems remains a topic of intense debate. In this letter, we propose that the…

Nuclear Theory · Physics 2026-03-27 Ya-Wen Pan , Ming-Zhu Liu , Li-Sheng Geng

We present numerical results showing how our recently proposed relativistic three-particle quantization condition can be used in practice. Using the isotropic (generalized $s$-wave) approximation, and keeping only the leading terms in the…

High Energy Physics - Lattice · Physics 2018-07-18 Raúl A. Briceño , Maxwell T. Hansen , Stephen R. Sharpe

Three-body correlations in three-body exotic atoms are studied with simple models that consist of three bosons interacting through a superposition of long- and short-range potentials. We discuss the correlations among particles by comparing…

Nuclear Theory · Physics 2019-11-15 H. Moriya , W. Horiuchi , J. -M. Richard

The bound states of $^3$H and $^3$He have been calculated using the Argonne $v_{18}$ plus the Urbana three-nucleon potential. The isospin $T=3/2$ state have been included in the calculations as well as the $n$-$p$ mass difference. The…

Nuclear Theory · Physics 2009-11-07 A. Nogga , A. Kievsky , H. Kamada , W. Gloeckle , L. E. Marcucci , S. Rosati , M. Viviani

We show that in realistic constituent quark models based on a two-body confinement interaction color states appear in the middle of the experimentally known spectrum. To avoid this situation we implement a three-body confinement…

High Energy Physics - Phenomenology · Physics 2009-11-07 Z. Papp , Fl. Stancu

We present a systematically improvable method for numerically solving relativistic three-body integral equations for the partial-wave projected amplitudes. The method consists of a discretization procedure in momentum space, which…

High Energy Physics - Lattice · Physics 2021-07-21 Andrew W. Jackura , Raúl A. Briceño , Sebastian M. Dawid , Md Habib E Islam , Connor McCarty

The three-nucleon bound state problem is studied employing a nucleon-nucleon potential obtained from a basic quark-quark interaction in a five-channel Faddeev calculation. The obtained triton binding energy is comparable to those predicted…

High Energy Physics - Phenomenology · Physics 2016-08-16 B. Juliá-Díaz , J. Haidenbauer , A. Valcarce , F. Fernández

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. For identical bosons this results in a…

Nuclear Theory · Physics 2008-11-26 H. Liu , Ch. Elster , W. Gloeckle

An explicit expression for the finite-volume energy shift of shallow three-body bound states for non-identical particles is obtained in the unitary limit. The inclusion of the higher partial waves is considered. To this end, the method of…

High Energy Physics - Lattice · Physics 2018-07-18 Yu Meng , Chuan Liu , Ulf-G. Meißner , A. Rusetsky

We introduce an approach, based on the coordinate space Faddeev equations, to solve the quantum mechanical three-body Coulomb problem in the continuum. We apply the approach to compute measured properties of the first two $0^+$ levels in…

Nuclear Theory · Physics 2009-10-30 D. V. Fedorov , A. S. Jensen

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

Quantum Gases · Physics 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

An effective optimization strategy has been developed to construct highly accurate bound state wave functions in various three-body systems. Our procedure appears to be very effective for computations of weakly bound states and various…

Atomic Physics · Physics 2014-11-21 Alexei M. Frolov , David M. Wardlaw

The first step toward the application of an effective non partial wave (PW) numerical approach to few-body atomic bound states has been taken. The two-body transition amplitude which appears in the kernel of three-dimensional…

Atomic Physics · Physics 2010-04-30 M. R. Hadizadeh , L. Tomio

Macro properties of cold atomic gases are driven by few-body correlations, even if the gas has thousands of particles. Quantum systems composed of two and three particles with attractive zero\=/range pairwise interactions are considered for…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti

We describe and implement twisted boundary conditions for the deuteron and triton systems within finite-volumes using the nuclear lattice EFT formalism. We investigate the finite-volume dependence of these systems with different twists…

Nuclear Theory · Physics 2016-05-25 Christopher Körber , Thomas Luu

We study theoretically the $BD\bar{D}$ and $BDD$ systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the Fixed Center Approximation to the Faddeev equations which…

High Energy Physics - Phenomenology · Physics 2018-05-11 J. M. Dias , V. R. Debastiani , L. Roca , S. Sakai , E. Oset

We discuss the application of the chiral N3LO forces to three-nucleon reactions and point to the challenges which will have to be addressed. Present approaches to solve three-nucleon Faddeev equations are based on a partial-wave…

Nuclear Theory · Physics 2015-06-17 Henryk Witala , Jacek Golak , Roman Skibinski , Kacper Topolnicki

The relativistic properties of the three-nucleon system are investigated using the Faddeev equations within the Bethe-Salpeter approach. The nucleon-nucleon interaction is chosen in a separable form. The Gauss quadrature method is used to…

Nuclear Theory · Physics 2016-03-23 S. G. Bondarenko , V. V. Burov , S. A. Yurev

A multi-component formalism is developed to describe three-body systems with nonstatic pairwise interactions and non-nucleonic degrees of freedom. The dressed-bag model for $NN$ interaction based on the formation of an intermediate…

Nuclear Theory · Physics 2009-11-10 V. I. Kukulin , V. N. Pomerantsev , M. Kaskulov , Amand Faessler

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation…

Nuclear Theory · Physics 2009-11-10 H. Liu , Ch. Elster , W. Gloeckle