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Three-body forces acting on a $\Lambda$ hyperon in a nuclear medium are investigated, with special focus on the so-called hyperon puzzle in neutron stars. The hyperon-nucleon two-body interaction deduced from SU(3) chiral effective field…

Nuclear Theory · Physics 2020-08-13 Dominik Gerstung , Norbert Kaiser , Wolfram Weise

We solve the Faddeev bound-state equations for three particles with simple two-body nonlocal, separable potentials that yield a scattering length twice as large as a positive effective range, as indicated by some lattice QCD simulations.…

Nuclear Theory · Physics 2024-01-17 V. S. Timoteo , U. van Kolck

The interaction of an $\eta$-meson with two nucleons is studied within a three-body approach. The major features of the $\eta NN$-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body $\eta…

Nuclear Theory · Physics 2011-07-19 A. Fix , H. Arenhoevel

In this paper, a novel theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials. In this scheme, a new potential is constructed which is strictly isospectral with…

Nuclear Theory · Physics 2020-10-06 Mahamadun Hasan , Shamim Haque Mondal , Murshid Alam , Tasrief Surungan , Md Abdul Khan

Recent work on using density dependent $\Lambda$-nuclear optical potentials in calculations of $\Lambda$-hypernuclear binding energies is reviewed. It is found that all known $\Lambda$ binding energies in the mass range $16 \leq A \leq 208$…

Nuclear Theory · Physics 2026-02-11 Eliahu Friedman , Avraham Gal

We start from a recently favored picture in which the $\Lambda_c(2940)$ and $\Lambda_c(2910)$ correspond mostly to $ND^*$ bound states with $J^P = 1/2^-,\, 3/2^-$ and then add a $D$ as a third particle, looking for the possible binding of…

High Energy Physics - Phenomenology · Physics 2024-05-24 Victor Montesinos , Jing Song , Wei-Hong Liang , Eulogio Oset , Juan Nieves , Miguel Albaladejo

Lowest bound S-state energy of Coulomb three-body systems ($N^{Z+}\mu^-e^-$) having a positively charged nucleus of charge number Z ($N^{Z+}$), a negatively charged muon ($\mu^-$) and an electron ($e^-$), is investigated in the framework of…

Atomic and Molecular Clusters · Physics 2017-05-16 Md. A. Khan , M. Hasan

The $A$-dependence of the bond energy $\Delta B_{\Lambda\Lambda}$ of the ${\Lambda\Lambda}$ hypernuclear ground states is calculated in a three-body ${\Lambda + \Lambda + {^{A}Z}}$ model and in the Skyrme-Hartree-Fock approach. Various…

Nuclear Theory · Physics 2015-06-26 D. E. Lanskoy , Yu. A. Lurie , A. M. Shirokov

We study systems of bosons and fermions in finite periodic boxes and show how the existence and properties of few-body resonances can be extracted from studying the volume dependence of the calculated energy spectra. Using a…

Nuclear Theory · Physics 2018-10-03 P. Klos , S. König , H. -W. Hammer , J. E. Lynn , A. Schwenk

A new kind of the relativistic three-body equations for the coupled $\pi N$ and $\gamma N$ scattering reactions with the $\pi \pi N$ and $\gamma \pi N$ three particle final states are suggested. These equations are derived in the framework…

Nuclear Theory · Physics 2011-08-17 A. I. Machavariani , Amand Faessler

We investigate one-dimensional three-body systems composed of two identical bosons and one imbalanced atom (impurity) with two-body and three-body zero-range interactions. For the case in the absence of three-body interaction, we give a…

Quantum Gases · Physics 2021-09-08 Yanxia Liu , Yi-Cong Yu , Shu Chen

We study bound states of a 3--particle system in $\mathbb{R}^3$ described by the Hamiltonian $H(\lambda_n) = H_0 + v_{12} + \lambda_n (v_{13} + v_{23})$, where the particle pair $\{1,2\}$ has a zero energy resonance and no bound states,…

Mathematical Physics · Physics 2013-03-13 Dmitry K. Gridnev

Motivated by the continuous experimental investigations of $X(1835)$ in three-body decay channels like $\eta^\prime \pi^+ \pi^-$, we investigate the $\eta^\prime K \bar K$ system with the aim of searching for bound states and/or resonances…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. Martínez Torres , K. P. Khemchandani

Newly, first-principles lattice QCD results at the physical pion mass, $ m_\pi \backsimeq 137.1 $ MeV, have been reported by the HAL QCD Collaboration for the S-wave interaction between the nucleon ($N$) and the triply charmed Omega baryon…

Nuclear Theory · Physics 2026-02-11 Faisal Etminan , Lucas Happ

It is rare for an $S$-wave resonance to remain narrow while approaching threshold as a result of the interaction parameters being fine tuned. Such an interaction is, however, realized by pion-charmed baryon system $\pi \Sigma_c$, which has…

Nuclear Theory · Physics 2017-05-10 Bingwei Long , Jianfeng Wang , Songlin Lyu

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

We present an Asymptotic Bound-state Model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The…

Quantum Gases · Physics 2010-10-27 T. G. Tiecke , M. R. Goosen , J. T. M. Walraven , S. J. J. M. F. Kokkelmans

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

We compute the three-body structure of the lowest resonances of $^{12}$Be considered as two neutrons around an inert $^{10}$Be core. This is an extension of the bound state calculations of $^{12}$Be into the continuum spectrum. We…

Nuclear Theory · Physics 2015-06-05 E. Garrido , A. S. Jensen , D. V. Fedorov , J. G. Johansen

Dynamically exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ three-body system are performed using Faddeev-type AGS equations. As input two phenomenological and one chirally motivated $\bar{K}N$ potentials are used, which…

Nuclear Theory · Physics 2015-10-21 N. V. Shevchenko , J. Haidenbauer