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In neutron-rich $^8$He, we study the soft dipole resonance, which is regarded as a dipole oscillation of four valence neutrons against the $^4$He core, and its effect on the low-energy electric dipole strength with a $^4$He+$n$+$n$+$n$+$n$…

Nuclear Theory · Physics 2022-11-22 Takayuki Myo , Myagmarjav Odsuren , Kiyoshi Kato

We use perturbation theory and bifurcation theory to analyze the dynamical behavior of resonances, associated to a model describing a particle moving within a ring around a celestial object. The central body is modeled as a homogeneous…

Mathematical Physics · Physics 2025-07-22 Alessandra Celletti , Irene De Blasi , Sara Di Ruzza

Nucleon decays into a lepton and two pseudoscalar mesons represent key channels for probing baryon number violation, complementing conventional two-body modes. In this Letter, we model-independently correlate two- and three-body processes…

High Energy Physics - Phenomenology · Physics 2026-04-28 Wei-Qi Fan , Yi Liao , Xiao-Dong Ma

We investigate a general system of two coupled harmonic oscillators with cubic nonlinearity. Without damping, the system is Hamiltonian, with the origin as an elliptic equilibrium characterized by two distinct linear frequencies. To…

Dynamical Systems · Mathematics 2024-10-01 Laura Di Gregorio , Walter Lacarbonara

The nature of the $\Lambda nn$ and ${\rm ^3_\Lambda H^*} (J^\pi=3/2^+,~I=0)$ states is investigated within a pionless effective field theory at leading order, constrained by the low energy $\Lambda N$ scattering data and hypernuclear 3- and…

Nuclear Theory · Physics 2021-03-03 M. Schäfer , B. Bazak , N. Barnea , J. Mareš

The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate the energy distributions of the particles arising from three-body decaying low-lying $^{12}$C resonances. The large distance continuum properties…

Nuclear Theory · Physics 2008-11-26 R. Alvarez-Rodriguez , E. Garrido , A. S. Jensen , D. V. Fedorov , H. O. U. Fynbo

We calculate resonances in three-body systems with attractive Coulomb potentials by solving the homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations are solved by using the Coulomb-Sturmian separable…

Atomic Physics · Physics 2009-11-10 Z. Papp , J. Darai , J. Zs. Mezei , Z. T. Hlousek , C-. Y. Hu

We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a…

Atomic Physics · Physics 2013-09-25 Maxim A. Efremov , Lev Plimak , Misha Yu. Ivanov , Wolfgang P. Schleich

Three-boson Efimov physics is well known in the bound-state regime, but far less in the three-particle continuum at negative two-particle scattering length where Efimov states evolve into resonances. They are studied solving rigorous…

Quantum Gases · Physics 2021-02-01 A. Deltuva

We present a new reaction model, which permits the description of reactions where both colliding nuclei present a low threshold to breakup. The method corresponds to a four-body extension of the Continuum Discretized Coupled Channel (CDCC)…

Nuclear Theory · Physics 2017-06-28 Pierre Descouvemont

Three-body decay is a rare decay mode observed in a handful of unbound rare isotopes. The angular and energy correlations between emitted nucleons are of particular interest, as they provide invaluable information on the interplay between…

Nuclear Theory · Physics 2021-04-08 S. M. Wang , W. Nazarewicz

Many nonlinear systems are described by eigenmodes with amplitude-dependent frequencies, interacting strongly whenever the frequencies become commensurate at internal resonances. Fast energy exchange via the resonances holds the key to rich…

Chaotic Dynamics · Physics 2022-12-07 Mingkang Wang , Diego J. Perez-Morelo , Daniel Lopez , Vladimir A. Aksyuk

A complete discrete set of spherical single-particle wave functions for studies of weakly-bound many-body systems is proposed. The new basis is obtained by means of a local-scale point transformation of the spherical harmonic oscillator…

Nuclear Theory · Physics 2008-11-26 M. V. Stoitsov , W. Nazarewicz , S. Pittel

We investigate the formation of three-body bound states in the continuum by tracing pole trajectories in the complex energy plane under variation of system parameters. Using a one-dimensional model of two identical bosons and a…

Quantum Physics · Physics 2026-01-19 Lucas Happ

We study the structure of $^9_\Lambda$Be in the framework of three body $\alpha+\alpha+\Lambda$ cluster model using YNG-NF interaction with the Gaussian expansion method. Employing the complex scaling method, we obtain the energies of bound…

Nuclear Theory · Physics 2020-11-11 Qian Wu , Yasuro Funaki , Emiko Hiyama , Hongshi Zong

Three-body F\"orster resonances at long-range interactions of Rydberg atoms were first predicted and observed in Cs Rydberg atoms by R.Faoro et al., Nature Comm. 6, 8173 (2015). In these resonances, one of the atoms carries away an energy…

The pi- + 2H -> n + n, pi- + 3H -> n + n + n, pi- + 3He -> n + d and pi- + 3He -> p + n + n capture reactions from the lowest atomic orbitals are studied under full inclusion of final state interactions. Our results are obtained with the…

The low-energy spectrum of $N$-boson clusters with pairwise zero-range interactions is believed to be governed by a three-body parameter. We study the ground state of $N$-boson clusters with infinite two-body $s$-wave scattering length by…

Quantum Gases · Physics 2015-09-30 Yangqian Yan , D. Blume

We construct a 1D toy model to describe the structural properties of Borromean nuclei at the continuum threshold. The system is composed by two valence neutrons that are bound thanks to a residual interaction. Different discretization…

Nuclear Theory · Physics 2014-10-28 Laura Moschini , Andrea Vitturi , Francisco Peréz Bernal

Bound state properties of few single and double-$\Lambda$ hypernuclei is critically examined in the framework of core-$\Lambda$ and core+$\Lambda+\Lambda$ few-body model applying hyperspherical harmonics expansion method (HHEM). The…

Nuclear Theory · Physics 2015-09-24 Md. Abdul Khan