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How many particles are necessary to make a quantum system many-body? To answer this question, we take as reference for the many-body limit a quantum system at half-filling and compare its properties with those of a system with $N$…

Statistical Mechanics · Physics 2018-09-10 Mauro Schiulaz , Marco Távora , Lea F. Santos

Confined to small regions, quantum systems exhibit electronic and structural properties different from their free space behavior. In Coulomb 3-body problems, configurations of close proximity of identically charged particles are classically…

Quantum Physics · Physics 2025-03-20 R. Vilela Mendes

The nature of the three pentaquark states, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$, discovered by the LHCb Collaboration in 2019, is still under debate, although the $\bar{D}^{(\ast)}\Sigma_{c}$ molecular interpretation seems to be…

High Energy Physics - Phenomenology · Physics 2022-07-13 Ya-Wen Pan , Tian-Wei Wu , Ming-Zhu Liu , Li-Sheng Geng

Few-nucleon correlations in nuclear matter at finite densities and temperatures are explored. Using the Dyson equation approach leads to effective few-body equations that include self energy corrections and Pauli blocking factors in a…

Nuclear Theory · Physics 2009-11-07 M. Beyer

Following two recent papers [Phys. Chem. Chem. Phys. 2015, \textbf{17}, 3196; Mol. Phys. 2015, \textbf{113}, 1843], we perform a larger-scale study of chemical structure in one dimension (1D). We identify a wide, and occasionally…

Chemical Physics · Physics 2017-05-01 Caleb J. Ball , Pierre-François Loos , P. M. W. Gill

An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like…

Nuclear Theory · Physics 2016-08-03 Ch. Elster , L. Hlophe , V. Eremenko , F. M. Nunes , I. J. Thompson , G. Arbanas , J. E. Escher

Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the $\boldsymbol{^9}$Be nucleus, showing…

Nuclear Theory · Physics 2020-03-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho , L. Fortunato , A. Vitturi

Nucleon transfer reactions in deuteron-deuteron collisions at energies above the three- and four-body breakup threshold are described using exact four-body equations for transition operators that are solved in the momentum-space framework.…

Nuclear Theory · Physics 2017-06-05 A. Deltuva , A. C. Fonseca

Sequential three-body decay proceeds via spatially confined quasi-stationary two-body configurations. Direct three-body decay populates the three-body continuum without intermediate steps. The relative importance of these decay modes is…

Nuclear Theory · Physics 2009-11-10 E. Garrido , D. V. Fedorov , A. S. Jensen , H. O. U. Fynbo

An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like…

Nuclear Theory · Physics 2014-10-07 Ch. Elster , L. Hlophe , V. Eremenko , F. M. Nunes , G. Arbanas , J. E. Escher , I. J. Thompson

When particles interact via two-body short-range central potential wells, binding can occur for some critical values of the coupling constants. Using the envelope theory, upper bounds for critical coupling constants are computed for quantum…

Quantum Physics · Physics 2025-06-13 Clara Tourbez , Claude Semay , Cyrille Chevalier

The conventional wisdom for the formation of the first hard binary in core collapse is that three-body interactions of single stars form many soft binaries, most of which are quickly destroyed, but eventually one of them survives. We report…

Astrophysics of Galaxies · Physics 2015-05-28 Ataru Tanikawa , Piet Hut , Junichiro Makino

The ground state of a classical two-dimensional (2D) system with finite number of charged particles, trapped by two positive impurities charges localized at a distance (zo) from the 2D plane and separated from each other by a distance xp…

Strongly Correlated Electrons · Physics 2009-11-07 W. P. Ferreira , G. A. Farias , H. A. Carmona , F. M. Peeters

We study inelastic processes for ultracold three-body systems in which only one interaction is resonant. We have found that the decay rates for weakly bound molecules due to collisions with other atoms can be suppressed not only without…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , B. D. Esry

The binding energies and matter distributions for the 3- body systems like $\phi$- meson + 2N, 2$\phi$ + N and 4- body system like $\phi$+3n are calculated. For the 3- particle systems two- dimensional Faddeev equations in the differential…

Nuclear Theory · Physics 2009-11-23 V. B. Belyaev , W. Sandhas , I. I. Shlyk

A current interest in nuclear reactions, specifically with rare isotopes concentrates on their reaction with neutrons, in particular neutron capture. In order to facilitate reactions with neutrons one must use indirect methods using…

Nuclear Theory · Physics 2015-06-11 Ch. Elster , L. Hlophe

The formation of molecules and supramolecular structures results from bonding by conservative forces acting among electrons and nuclei and giving rise to equilibrium configurations defined by minima of the interaction potential. Here we…

Atomic Physics · Physics 2015-02-23 Mikhail Lemeshko , Hendrik Weimer

We present an exact method to study four-quark systems based on the hyperspherical harmonics formalism. We apply it to several physical systems of interest containing two heavy and two light quarks using different quark-quark potentials.…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Vijande , E. Weissman , A. Valcarce , N. Barnea

We show that it is necessary to go beyond a single hadron (beyond the quark-antiquark or three-quark systems) in order to distinguish the colour structure of the effective quark-quark interaction and the relevance of 3-body forces. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Rosina , D. Janc , D. Treleani , A. Del Fabbro

An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like…

Nuclear Theory · Physics 2016-12-28 L. Hlophe , Ch. Elster