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As a straightforward generalization and extension of our previous paper, J. Phys. A50 (2017) 215201 we study aspects of the quantum and classical dynamics of a $3$-body system with equal masses, each body with $d$ degrees of freedom, with…

Mathematical Physics · Physics 2018-03-01 Alexander V Turbiner , Willard Miller, , M. A. Escobar-Ruiz

Gravitational and electromagnetic interactions are Hamiltonian systems with forces between pairs of particles. We propose an alternative: Hamiltonian dynamics with triplet interactions between point particles. Our system has a potential…

Chaotic Dynamics · Physics 2025-07-22 J. D. Meiss

Many-body interactions in effective field theories for disordered interacting electrons are considered. It is shown that three-body and higher interaction terms are generated in perturbation theory, and some of the physical consequences of…

Statistical Mechanics · Physics 2009-11-10 T. R. Kirkpatrick , D. Belitz

We present a new two-body finite-range and momentum-dependent but density-independent effective interaction, which can be interpreted as a regularized zero-range force. We show that no three-body or density-dependent terms are needed for a…

Nuclear Theory · Physics 2015-06-16 K. Bennaceur , J. Dobaczewski , F. Raimondi

The hadronic molecular picture of the observed exotic states has inspired numerous investigations into few-body systems. Recently, the lattice effective field theory studied the effect of a three-body interaction on the binding energy of…

Nuclear Theory · Physics 2025-02-04 Ya-Wen Pan , Jun-Xu Lu , Emiko Hiyama , Li-Sheng Geng , Atsushi Hosaka

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is present, and the exact formula for it is found. Flipping the sign…

High Energy Physics - Theory · Physics 2015-06-17 H. Arodz , J. Karkowski , Z. Swierczynski

Using the Fixed Center Approximation to Faddeev equations we have investigated the $DKK$ and $DK\bar{K}$ three-body systems, considering that the $D^*_{s0}(2317)$ acts as the heavy cluster in both cases, generated from the $DK$ interaction…

High Energy Physics - Phenomenology · Physics 2018-12-04 V. R. Debastiani , J. M. Dias , E. Oset

A detailed comparison of Faddeev and variational wave functions for $^3$H, calculated with realistic nuclear forces, has been made to study the form of three-body correlations in few-body nuclei. Three new three-body correlations for use in…

Nuclear Theory · Physics 2008-11-26 A. Arriaga , V. R. Pandharipande , R. B. Wiringa

We predict a new three-body hadronic molecule composed of antikaon $\bar{K}$, anticharm meson $\bar{D}$, and nucleon $N$ with spin/parity $J^{P} = 1/2^{+}$ and isospin $I = 1/2$. This state behaves like an explicit pentaquark state because…

Nuclear Theory · Physics 2019-07-17 Junko Yamagata-Sekihara , Takayasu Sekihara

To solve difficulties related to the use of nuclear density functional theory applied in its beyond mean-field version, we introduce a semi-contact 3-body effective interaction. We show that this interaction is a good candidate to replace…

Nuclear Theory · Physics 2015-06-23 Denis Lacroix , Karim Bennaceur

A new generation of local three-body potentials providing an excellent description of the properties of light nuclei, as well as of the neutron-deuteron doublet scattering length, has been recently derived. We have performed a comparative…

Nuclear Theory · Physics 2015-05-30 Alessandro Lovato , Omar Benhar , Stefano Fantoni , Kevin E. Schmidt

Understanding the few-nucleon system remains one of the challenges in modern nuclear and hadron physics. Observables in few-nucleon scattering processes are sensitive probes to study the two and many-body interactions between nucleons in…

Nuclear Experiment · Physics 2011-04-28 J. G. Messchendorp

Three-nucleon (3N) forces are an indispensable ingredient for accurate few-body and many-body nuclear structure and reaction theory calculations. While the direct implementation of chiral 3N forces can be technically very challenging, a…

Nuclear Theory · Physics 2020-05-08 Jeremy W. Holt , Mamiya Kawaguchi , Norbert Kaiser

Three-body systems in two dimensions with zero-range interactions are considered for general masses and interaction strengths. The problem is formulated in momentum space and the numerical solution of the Schr\"odinger equation is used to…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The three-body problem, which describes three masses interacting through Newtonian gravity without any restrictions imposed on the initial positions and velocities of these masses, has attracted the attention of many scientists for more…

Earth and Planetary Astrophysics · Physics 2015-08-11 Z. E. Musielak , B. Quarles

Neutron-rich nuclei become increasingly sensitive to three-nucleon forces. These components of nuclear forces are at the forefront of theoretical developments based on effective field theories of quantum chromodynamics. We discuss our…

Nuclear Theory · Physics 2015-06-15 A. Schwenk

We review the impact of nuclear forces on matter at neutron-rich extremes. Recent results have shown that neutron-rich nuclei become increasingly sensitive to three-nucleon forces, which are at the forefront of theoretical developments…

Nuclear Theory · Physics 2015-09-08 K. Hebeler , J. D. Holt , J. Menendez , A. Schwenk

We assess the importance of final state interactions in $D^+ \rar K^- \p^+ \p^+$, stressing the consistency between two- and three-body interactions. The basic building block in the calculation is a $K\pi$ amplitude based on unitarized…

The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and…

Nuclear Theory · Physics 2018-10-22 A. Nannini , L. E. Marcucci

A manifestation of the three-body forces in multiparticle dynamics is discussed. The minireview of our recent results has been presented.

High Energy Physics - Phenomenology · Physics 2017-08-23 A. A. Arkhipov
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