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It was found that $NN$ potential could influence the results of the quasi-bound state search in the $K^- d$ system, where the corresponding pole is situated close to the threshold. Three-body Faddeev-type calculations of the $\bar{K}NN -…

Nuclear Theory · Physics 2020-08-26 N. V. Shevchenko

Coupled-channel three-body calculations of an $I=1/2$, $J^{\pi}=0^-$ $\bar{K}NN$ quasi-bound state in the $\bar{K}NN - \pi \Sigma N$ system were performed and the dependence of the resulting three-body energy on the two-body $\bar{K}N - \pi…

Nuclear Theory · Physics 2008-11-26 N. V. Shevchenko , A. Gal , J. Mareš , J. Révai

JLab has recently found indications of the possible existence of a $\Sigma NN$ resonance at $(3.14 \pm 0.84) - i (2.28 \pm 1.2)$ MeV. In the past, using models that exploit symmetries between the two-baryon sector with and without…

Nuclear Theory · Physics 2022-11-28 H. Garcilazo , A. Valcarce

The Faddeev AGS equations are solved for coupled-channels $\bar{K}NN-\pi\Sigma{N}$ system with quantum numbers $I=1/2$ and $S=0$. Using separable potentials for $\bar{K}N-\pi\Sigma$ interaction, we have calculated the transition probability…

Nuclear Theory · Physics 2019-04-15 Sajjad Marri , S. Z. Kalantari , J. Esmaili

The energies and widths of $DNN$ quasi-bound states with isospin I=1/2 are evaluated in two methods, the fixed center approximation to the Faddeev equation and the variational method approach to the effective one-channel Hamiltonian. The…

High Energy Physics - Phenomenology · Physics 2015-06-05 M. Bayar , C. W. Xiao , T. Hyodo , A. Dote , M. Oka , E. Oset

New calculations of the quasi-bound state positions in $K^{-}K^{-}pp$ kaonic nuclear cluster are performed using non-relativistic four-body Faddeev-type equations in AGS form. The corresponding separable approximation for the integral…

Nuclear Theory · Physics 2016-12-23 Sajjad Marri , Seyed Zafarollah Kalantari , Jafar Esmaili

Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the $\phi NN$ system with total isospin $T=0$ and $T=1$. The recently proposed lattice HAL QCD $\phi N$ potential in the $^{4}S_{3/2}$…

Nuclear Theory · Physics 2024-08-21 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic

Motivated by the $\Sigma$-hypernuclear states reported in ($K^-,\pi^{\pm}$) experiments, we have explored the possibility that there exists a particle-stable $\Sigma^- nn$ bound state. For the J\"ulich \~A hyperon-nucleon, realistic-force…

Nuclear Theory · Physics 2009-09-25 A. Stadler , B. F. Gibson

Using the two-body interactions obtained from a chiral constituent quark model we study all $\Lambda NN$ and $\Sigma NN$ states with I=0,1,2 and J=1/2,3/2 at threshold, taking into account all three-body configurations with S and D wave…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Garcilazo , A. Valcarce , T. Fernandez-Carames

Characteristics of the quasi-bound state in the $K^- pp$ system strongly depend on the model of antikaon-nucleon interaction and weakly - on the nucleon-nucleon potential. In the present paper, dynamically exact Faddeev-type calculations…

Nuclear Theory · Physics 2024-01-22 N. V. Shevchenko

We report on the first genuinely three-body ${\bar K}NN - \pi \Sigma N$ coupled-channel Faddeev calculation in search for quasi-bound states in the $K^- p p$ system. The main absorptivity in the $K^- p$ subsystem is accounted for by fitting…

Nuclear Theory · Physics 2008-11-26 N. V. Shevchenko , A. Gal , J. Mares

New calculations of the quasi-bound state in the $K^- pp$ system using Faddeev-type equations in AGS form with coupled $\bar{K}NN$ and $\pi \Sigma N$ channels were performed. A chiral $\bar{K}N$ potential together with phenomenological…

Nuclear Theory · Physics 2015-06-19 J. Revai , N. V. Shevchenko

Using separable $\bar{K}N-\pi\Sigma$ potentials in the Faddeev equations, we calculated the binding energies and widths of the $K^{-}pp$, $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states on the basis of three- and four-body…

Nuclear Theory · Physics 2016-11-29 S. Marri , S. Z. Kalantari

Arguments in favor of a light $\Xi NN$ hypernucleus with $(I)J^P=(3/2)1/2^+$ are presented, within the uncertainties of our knowledge of the baryon-baryon strangeness $-2$ interactions. If bound, this $\Xi NN$ state, being decoupled from…

High Energy Physics - Phenomenology · Physics 2015-07-24 H. Garcilazo , A. Valcarce

Fine-tuning of the binding energies and widths of the quasi-bound states in three-body systems consisting of antikaon(s) and nucleon(s) was performed. Dynamically exact three-body Faddeev-type AGS equations with three coupled particle…

Nuclear Theory · Physics 2025-11-06 N. V. Shevchenko

Using the folding procedure, we investigate the bound state of the $\Omega$+$\alpha$ system based on $\Omega$-$N$ ($^{5}S_{2}$) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state,…

Nuclear Theory · Physics 2026-05-14 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic

We consider discrete spectra of bound states for non-relativistic motion in attractive potentials V_{\sigma}(x) = -|V_{0}| |x|^{-\sigma}, 0 < \sigma \leq 2. For these potentials the quasiclassical approximation for n -> \infty predicts…

Mathematical Physics · Physics 2011-01-06 K. Gorska , K. A. Penson , A. Horzela , G. H. E. Duchamp , P. Blasiak , A. I. Solomon

For the two-mode exciton system formed by the quasi-spin wave collective excitation of many $\Lambda$ atoms fixed at the lattice sites of a crystal, we discover a dynamic symmetry depicted by the semi-direct product algebra…

Quantum Physics · Physics 2009-11-07 C. P. Sun , Y. Li , X. F. Liu

We extend the study of a JP=2+, I=3/2 pion-Lambda-nucleon quasibound state [Phys. Rev. D 78, 014013 (2008)] by solving nonrelativistic Faddeev equations, using 3S1-3D1, Lambda N - Sigma N coupled channels Chiral Quark Model local…

Nuclear Theory · Physics 2010-05-28 Humberto Garcilazo , Avraham Gal

The HypHI Collaboration at GSI argued recently for a (Lambda-n-n) bound state from the observation of its two-body (t + pi-) weak-decay mode. We derive constraints from several hypernuclear systems, in particular from the A=4 hypernuclei…

Nuclear Theory · Physics 2015-06-19 Avraham Gal , Humberto Garcilazo
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