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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 study heavy hadron spectroscopy near heavy meson thresholds. We employ heavy pseudoscalar meson P and heavy vector meson P* as effective degrees of freedom and consider meson exchange potentials between them. All possible composite…

High Energy Physics - Phenomenology · Physics 2015-06-11 Shunsuke Ohkoda , Y. Yamaguchi , S. Yasui , K. Sudoh , A. Hosaka

We present three-body nonrelativistic calculations within the framework of a potential model for the kaonic cluster ${K^-}pp$ using two completely different methods: the method of hyperspherical harmonics in the momentum representation and…

We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model…

Chemical Physics · Physics 2008-02-03 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

In this paper, calculated energies of the lowest bound state of Coulomb three-body systems containing an electron ($e^-$), a negatively charged muon ($\mu^-$) and a nucleus ($N^{Z+}$) of charge number Z are reported. The 3-body relative…

Atomic Physics · Physics 2015-10-26 Md. Abdul Khan

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

The discovery of numerous new hadrons over the past two decades has provided unprecedented opportunities to understand the non-perturbative QCD and hadron structure. Hadronic molecule picture plays an important role in explaining these new…

High Energy Physics - Phenomenology · Physics 2025-07-04 Tian-Wei Wu , Ming-Zhu Liu , Li-Sheng Geng

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

The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and…

Nuclear Theory · Physics 2018-10-22 A. Nannini , L. E. Marcucci

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

This work presents the first prediction of tetralepton resonant states containing muons, extending beyond the simplest tetralepton system, dipositronium ($\mathrm{Ps}_2$). With the rapid advancements in experimental facilities, the…

High Energy Physics - Phenomenology · Physics 2025-04-07 Yao Ma , Lu Meng , Liang-Zhen Wen , Shi-Lin Zhu

The results of highly accurate calculations are presented for all twenty-two known bound $S(L = 0)-, P(L = 1)-, D(L = 2)-$ and $F(L = 3)-$states in the six three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$. A…

Atomic Physics · Physics 2015-05-19 Alexei M. Frolov , David M. Wardlaw

We calculate the energy spectrum of the S-wave doubly heavy tetraquark systems, including the $ QQ^{(\prime)}\bar q\bar q$, $QQ^{(\prime)}\bar s\bar q$, and $ QQ^{(\prime)}\bar s\bar s$ ($Q^{(\prime)}=b,c$ and $q=u,d$) systems within the…

High Energy Physics - Phenomenology · Physics 2024-11-22 Wei-Lin Wu , Yao Ma , Yan-Ke Chen , Lu Meng , Shi-Lin Zhu

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

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

A constituent quark model, which has recently been successfully applied to the study of heavy quarkonium properties such as its spectrum but also a diverse array of observables related with their electromagnetic, strong and weak decays and…

High Energy Physics - Phenomenology · Physics 2020-03-04 Gang Yang , Jialun Ping , Pablo G. Ortega , Jorge Segovia

We study a system made from $K^{*+}D^{*+}K^{*+}$ with charge $3$, isospin $I=3/2$, spin $J=3$, and a quark content of $c\bar d \bar s u \bar s u$, which make it highly exotic relative to the standard $q\bar q$ structure of mesons. The…

High Energy Physics - Phenomenology · Physics 2026-02-26 Wen-Hao Jia , Pei-Shen Su , Wei-Hong Liang , Raquel Molina , Eulogio Oset

Inspired by the experimentally reported $T_{c\bar{s}}(2900)$ exotic states, the $S$-wave $\bar{q}q\bar{s}Q$ $(q=u,\,d;\,Q=c,\,b)$ tetraquarks, with spin-parity $J^P=0^+$, $1^+$ and $2^+$, in both isoscalar and isovector sectors are…

High Energy Physics - Phenomenology · Physics 2023-11-20 Gang Yang , Jialun Ping , Jorge Segovia

We study the three-body systems of $\bar{K}^{(*)}B^{(*)}\bar{B}^{(*)}$ by solving the Faddeev equations in the fixed-center approximation, where the light particle $\bar{K}^{(*)}$ interacts with the heavy bound states of $B\bar{B}$…

High Energy Physics - Phenomenology · Physics 2019-06-05 Xiu-Lei Ren , Zhi-Feng Sun

The existence of flavor exotic $QQ\bar{q}\bar{q}$ molecular-type states is investigated. An attractive force between two {\it pseudoscalar} $H = (Q\bar{q})$ heavy meson is generated by (correlated) two-pion exchange. The emergence of a…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hyun-Chul Kim , Mikhail Shmatikov