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The classical three-body harmonic system in $\mathbb{R}^d$ ($d>1$) with finite rest lengths and zero total angular momentum $L=0$ is considered. This model describes the dynamics of the $L=0$ near-equilibrium configurations of three point…

Classical Physics · Physics 2022-06-01 A. M. Escobar-Ruiz , M. A. Quiroz-Juarez , J. L. Del Rio-Correa , N. Aquino

In this work we study 2- and 3-body oscillators with quadratic and sextic pairwise potentials which depend on relative distances, $|{\bf r}_i - {\bf r}_j |$, between particles. The two-body harmonic oscillator is two-parametric and can be…

Mathematical Physics · Physics 2021-09-23 Alexander V Turbiner , Willard Miller , Adrian M Escobar-Ruiz

Hypernuclei are bound states of neutrons, protons and one or two hyperons, thus extending the nuclear landscape to a third dimension. They also encode information about the baryon-baryon and three-baryon interactions. Here, we review recent…

Nuclear Theory · Physics 2025-08-08 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

Brueckner calculations including a microscopic three-body force have been extended to isospin asymmetric nuclear matter. The effects of the three-body force on the equation of state and on the single-particle properties of nuclear matter…

Nuclear Theory · Physics 2007-05-23 W. Zuo , A. Lejeune , U. Lombardo , J. F. Mathiot

We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

Asymptotic expressions for the radial and full wave functions of a three{body bound halo nuclear system with two charged particles in relative coordinates are obtained in explicit form, when the relative distance between two particles tends…

Nuclear Theory · Physics 2016-12-21 R. Yarmukhamedov

Superfluid 3He has a rich spectrum of collective modes with both massive and massless excitations. The masses of these modes can be precisely measured using acoustic spectroscopy and fit to theoretical models. Prior comparisons of the…

Superconductivity · Physics 2019-02-22 M. D. Nguyen , A. M. Zimmerman , W. P. Halperin

We propose an experiment to look for possible small violations of the symmetrization postulate of Quantum Mechanics, in systems composed by three identical particles. Such violations could be detected by investigating the population of…

Quantum Physics · Physics 2009-11-06 Giovanni Modugno , Michele Modugno

We present a method for solving trapped few-body problems and apply it to three equal-mass particles in a one-dimensional harmonic trap, interacting via a contact potential. By expressing the relative Hamiltonian in Jacobi cylindrical…

Quantum Physics · Physics 2013-01-03 N. L. Harshman

The energy levels of light hypernuclei are experimentally accessible observables that contain valuable information about the interaction between hyperons and nucleons. In this work we study strangeness $S = -1$ systems $^{3,4}_\Lambda$H and…

Nuclear Theory · Physics 2022-11-23 D. Gazda , T. Yadanar Htun , C. Forssén

We compute the strengths of zero-th order (in eccentricity) three-body resonances for a co-planar and low eccentricity multiple planet system. In a numerical integration we illustrate that slowly moving Laplace angles are matched by…

Earth and Planetary Astrophysics · Physics 2015-05-28 Alice C. Quillen

We present calculations of ground state properties of spherical, doubly closed-shell nuclei from $^{16}$O to $^{208}$Pb employing the techniques of many-body perturbation theory using a separable density dependent monopole interaction. The…

Nuclear Theory · Physics 2009-11-06 P. Stevenson , M. R. Strayer , J. Rikovska Stone

The separation energies of the isospin triplet $^7_\Lambda\mathrm{He}$, $^7_\Lambda \mathrm{Li^{*}}$, $^7_\Lambda$Be, and the $T=1/2$ doublet $^8_\Lambda$Li, $^8_\Lambda$Be are investigated within the no-core shell model. Calculations are…

Nuclear Theory · Physics 2023-03-08 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

Subatomic systems are pivotal for understanding fundamental baryonic interactions, as they provide direct access to quark-level degrees of freedom. In particular, introducing a strange quark adds "strangeness" as a new dimension, offering a…

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

The structure of heavy hyperhydrogen $^6_{\Lambda}$H is studied within the framework of a $tnn\Lambda$ four-body cluster model. Interactions among the constituent subunits are determined so as to reproduce reasonably well the observed…

Nuclear Theory · Physics 2015-06-15 E. Hiyama , S. Ohnishi , M. Kamimura , Y. Yamamoto

We report on a precise measurement of double-polarization asymmetries in electron-induced breakup of $^3\mathrm{He}$ proceeding to $\mathrm{pd}$ and $\mathrm{ppn}$ final states, performed in quasi-elastic kinematics at $Q^2 =…

Nuclear decays into three-particle channels are considered in a few-body approach of hyperspherical harmonics with emphasis on simultaneous, or direct, emission of two protons. General conditions of direct decays are described and their…

Nuclear Experiment · Physics 2009-10-31 Ivan Mukha

We discuss modeling of nuclear structure beyond the 2-body interaction paradigm. Our first example is related to the need of three nucleon contact interaction terms suggested by chiral perturbation theory. The relationship of the two…

Nuclear Theory · Physics 2019-08-27 V. G. Gueorguiev

The Schroedinger equation is solved for an A-nucleon system using an expansion of the wave function in nonsymmetrized hyperspherical harmonics. Our approach is both an extension and a modification of the formalism developed by Gattobigio et…

Nuclear Theory · Physics 2015-06-12 Sergio Deflorian , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini