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We use two-body potentials derived from a constituent quark cluster model to analyze the bound-state problem of the $\Sigma NN$ system. The observables of the two-body subsystems, $NN$ and $\Sigma N$, are well reproduced. We do not find…

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

We develop a new method for solving two- and three-body bound state problems using unsupervised machine learning techniques. We use a deep neural network to calculate both simple and realistic potentials, obtaining the properties of the…

High Energy Physics - Phenomenology · Physics 2025-07-24 Ruitian Li , Xuan Luo , Hao Sun , Pablo G. Ortega

We discuss the possible existence of exotic dibaryons with a heavy antiquark, being realized three-body systems, Dbar^(*)NN and B^(*)NN. These are genuinely exotic states with no quark-antiquark annihilation. We consider the heavy quark…

Nuclear Theory · Physics 2019-08-14 Yasuhiro Yamaguchi , Shigehiro Yasui , Atsushi Hosaka

The pi-Lambda-N - pi-Sigma-N coupled-channel system with quantum numbers (Y,I,JP) = (1,3/2,2+) is studied in a relativistic three-body model, using two-body separable interactions in the dominant p-wave pion-baryon and 3S1 YN channels.…

Nuclear Theory · Physics 2015-06-11 Humberto Garcilazo , Avraham Gal

The structures of $N\Omega_{(2,1/2)}$ and $\Delta\Omega_{(3,3/2)}$ with strangeness $s=-3$ are dynamically studied in both the chiral SU(3) quark model and the extended chiral SU(3) quark model by solving a resonating group method (RGM)…

Nuclear Theory · Physics 2007-05-23 Dai Lian-Rong , Zhang Dan , Li Chun-Ran , Tong Lei

The number of exotic candidates which are beyond the conventional quark model has grown dramatically during the last decades. Some of them could be viewed as analogues of the deuteron. Similarly, the existence of the triton indicates that…

High Energy Physics - Phenomenology · Physics 2019-01-16 Li Ma , Qian Wang , Ulf-G. Meißner

We analyze the possible existence of a resonance in the $J^P=0^-$ channel with isospin two by means of nucleon-$\Delta$ interactions based on the constituent quark model. We solve the bound state and the scattering problem using two…

Nuclear Theory · Physics 2009-10-28 A. Valcarce , F. Fernandez , E. Moro , H. Garcilazo

The work described in this paper is the first step toward a relativistic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we…

High Energy Physics - Phenomenology · Physics 2010-03-04 H. -C. Jean , D. Robson , A. G. Williams

Three-body hadronic models with separable pairwise interactions are formulated and solved to calculate resonance masses and widths of L=0 N-Delta and Delta-Delta dibaryons using relativistic kinematics. For N-Delta, I(JP)=1(2+) and 2(1+)…

Nuclear Theory · Physics 2014-08-06 Avraham Gal , Humberto Garcilazo

We study the three-body systems $DNN$ and $D^{*}NN$ within a hadronic molecular framework by combining a realistic nucleon-nucleon interaction with a $D^{(*)}N$ potential constrained by heavy-quark symmetry. The three-body Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2026-05-25 Si-Yi Chen , Fei-Yu Chen , Xu-Liang Chen , Lu Meng , Ning Li , Wei Chen

We have performed a calculation for the three body $\Delta \rho \pi$ system by using the fixed center approximation to Faddeev equations, taking the interaction between $\Delta$ and $\rho$, $\Delta$ and$\pi$, and $\rho$ and $\pi$ from the…

Nuclear Theory · Physics 2011-05-31 Ju-Jun Xie , A. Martinez Torres , E. Oset , P. Gonzalez

The recently developed chiral nucleon-nucleon ($NN$) potential by Epelbaum \emph{et al.} has been employed to study the two-nucleon bound and scattering states. Chiral $NN$ potential up to next-to-next-to-next-to leading order (N$^3$LO) is…

Nuclear Theory · Physics 2009-06-30 S. Bayegan , M. A. Shalchi , M. R. Hadizadeh

The application of the hyperspherical harmonic approach to the case of non-local two-body potentials is described. Given the properties of the hyperspherical harmonic functions, there are no difficulties in considering the approach in both…

Nuclear Theory · Physics 2011-08-17 M. Viviani , L. E. Marcucci , S. Rosati , A. Kievsky , L. Girlanda

We study three-body systems composed of $D^{(*)}$, $B^{(*)}$ and $\bar{B}^{(*)}$ in order to look for possible bound states or resonances. In order to solve the three-body problem, we use the fixed center approach for the Faddeev equations…

High Energy Physics - Phenomenology · Physics 2018-04-04 J. M. Dias , L. Roca , S. Sakai

We review our recent work about the stability of strange few-body systems containing $N$'s, $\Lambda$'s, and $\Xi$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts…

Nuclear Theory · Physics 2025-08-26 H. Garcilazo , A. Valcarce , J. Vijande

The three-neutron ($3n$) system is studied by numerical calculations with the Faddeev three-body formalism for a realistic nucleon-nucleon (NN) potential. A response function for the transition from ${}^3\mathrm{H}$ to $3n$ continuum states…

Nuclear Theory · Physics 2025-03-20 Souichi Ishikawa

Three-body resonances in the \bar{K}NN system have been studied within a framework of the \bar{K}NN-\pi YN coupled hannel Faddeev equation. By solving the three-body equation the energy dependence of the resonant \bar{K}N amplitude is fully…

Nuclear Theory · Physics 2008-11-26 Y. Ikeda , T. Sato

Possible bound and resonant states of the hypernuclear systems $\Lambda nn$ and $\Lambda\Lambda n$ are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local…

Nuclear Theory · Physics 2008-11-26 V. B. Belyaev , S. A. Rakityansky , W. Sandhas

It has been recently suggested the existence of a neutral bound state of two neutrons and a $\Lambda$ hyperon, $^3_\Lambda n$. We point out that using either simple separable potentials or a full-fledged calculation with realistic…

Nuclear Theory · Physics 2015-07-31 H. Garcilazo , A. Valcarce

The universal variational expansion for the non-relativistic three-body systems is explicitly constructed. Three-body universal expansion can be used to perform highly accurate numerical computations of the bound state spectra in arbitrary…

Atomic Physics · Physics 2018-04-18 Alexei M Frolov
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