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We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular…

High Energy Physics - Phenomenology · Physics 2019-09-04 M. Mikhasenko , Y. Wunderlich , A. Jackura , V. Mathieu , A. Pilloni , B. Ketzer , A. P. Szczepaniak

The resonance energies of strange dibaryons are investigated with the use of the \bar{K}NN-\pi Y N coupled-channels Faddeev equation. It is found that the pole positions of the predicted three-body amplitudes are significantly modified when…

Nuclear Theory · Physics 2009-04-28 Yoichi Ikeda , Toru Sato

In recent years extensive theoretical and experimental studies of universal few-body physics have led to advances in our understanding of universal Efimov physics [1]. The Efimov effect, once considered a mysterious and esoteric effect, is…

Quantum Gases · Physics 2015-06-03 Jia Wang , J. P. D'Incao , B. D. Esry , Chris H. Greene

We consider a system of three particles in dimension 4 and higher interacting via short-range potentials, where the two-body Hamiltonians have a virtual level at the bottom of the essential spectrum. In dimensions 2 (in case of fermions)…

Mathematical Physics · Physics 2020-01-08 Simon Barth , Andreas Bitter

The longest-range part of the nuclear force due to the one-pion exchange governs the energy dependence of the scattering amplitude in the near-threshold region and imposes correlations between the coefficients in the effective range…

Nuclear Theory · Physics 2015-07-15 V. Baru , E. Epelbaum , A. A. Filin , J. Gegelia

It is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy. An asymptotic expansion of this wave function at large interparticle distances is…

Statistical Mechanics · Physics 2008-07-27 Shina Tan

Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyse this…

Nuclear Theory · Physics 2016-09-08 Boris Krippa , Michael C. Birse , Judith A. McGovern , Niels R. Walet

A coordinate space approach, based on that used by Efimov, is applied to three-body systems with contact interactions between pairs of particles. In systems with nonzero orbital angular momentum or with asymmetric spatial wave functions,…

Nuclear Theory · Physics 2009-11-11 Michael C. Birse

We perform a fit of the finite-volume QCD spectrum of three pions at maximal isospin to constrain the three-body force. We use the unitarity-based relativistic three-particle quantization condition, with the GWUQCD spectrum obtained at 315…

High Energy Physics - Lattice · Physics 2021-07-09 Ruairí Brett , Chris Culver , Maxim Mai , Andrei Alexandru , Michael Döring , Frank X. Lee

A recent calculation of the nuclear energy density functional from chiral two- and three-nucleon forces is extended to the isovector terms pertaining to different proton and neutron densities. An improved density-matrix expansion is adapted…

Nuclear Theory · Physics 2015-06-04 N. Kaiser

In this talk we show recent developments on few body systems involving mesons. We report on an approach to Faddeev equations using chiral unitary dynamics, where an explicit cancellation of the two body off shell amplitude with three body…

Nuclear Theory · Physics 2015-06-03 E. Oset , A. Martinez Torres , K. P. Khemchandani , L. Roca , J. Yamagata

We evaluate the mass polarization term of the kinetic-energy operator for different three-body nuclear $AAB$ systems by employing the method of Faddeev equations in configuration space. For a three-boson system this term is determined by…

Nuclear Theory · Physics 2018-03-28 I. Filikhin , R. Ya. Kezerashvili , V. M. Suslov , B. Vlahovic

Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-body sector, the universal…

Other Condensed Matter · Physics 2009-07-09 Eric Braaten , H. -W. Hammer

We prove that the Schr\"odinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body…

Mathematical Physics · Physics 2026-02-06 Jonathan Rau , Marvin R. Schulz

Available data on large-angle nucleon-deuteron elastic scattering $Nd\to dN$ below the pion threshold give a signal for three-body forces. There is a problem of separation of possible subtle aspects of these forces from off-shell effects in…

Nuclear Theory · Physics 2009-11-07 Yu. N. Uzikov

We demonstrate remnant structural universality in a putative S-wave $2n$-halo-bound $D^0nn$ system in the $J=0, T=3/2$ channel by invoking the zero-coupling limit (ZCL), which eliminates sub-threshold decay channels. Within this framework,…

Nuclear Theory · Physics 2026-05-22 Ghanashyam Meher , Sourav Mondal , Udit Raha

A recent rejuvenation of experimental and theoretical interest in the physics of few- body systems has provided deep, fundamental insights into a broad range of problems. Few-body physics is a cross-cutting discipline not restricted to…

Quantum Gases · Physics 2017-11-01 Chris H. Greene , P. Giannakeas , J. Perez-Rios

The contribution of a $\pi \pi$-exchange three-body force to the three-nucleon binding energy is calculated in terms of a $\pi N$ amplitude. The latter is based on a meson-theoretical model of $\pi N$ interaction developed by the J\"ulich…

Nuclear Theory · Physics 2015-06-26 T. -Y. Saito , J. Haidenbauer

We have investigated the three-body force (TBF) effect on the neutron and proton momentum distributions in asymmetric nuclear matter within the framework of the extended Brueckner-Hartree-Fock approach by adopting the $AV18$ two-body…

Nuclear Theory · Physics 2013-01-16 Peng Yin , Jian-Yang Li , Pei Wang , Wei Zuo

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang