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The three-body $KK\bar K$ model for the $K(1460)$ resonance is developed on the basis of the Faddeev equations in configuration space. A single-channel approach is using with taking into account the difference of masses of neutral and…

Nuclear Theory · Physics 2020-12-01 I. Filikhin , R. Ya. Kezerashvili , V. M. Suslov , Sh. M. Tsiklauri , B. Vlahovic

Final state interactions are considered to formulate the $B$ meson decay amplitude for the $K\pi\pi$ channel. The Faddeev decomposition of the Bethe-Salpeter equation is used in order to build a relativistic three-body model within the…

High Energy Physics - Phenomenology · Physics 2021-02-16 J. H. Alvarenga Nogueira , T. Frederico , O. Lourenço

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

A short review of our recent work on amplitude parametrizations of three-body hadronic weak $B$ and $D$ decays is presented. The final states are here composed of three light mesons, namely the various charge $\pi\pi\pi$, $K\pi\pi$ and…

High Energy Physics - Phenomenology · Physics 2019-05-01 B. Loiseau , D. Boito , J. -P. Dedonder , B. El-Bennich , R. Escribano , R. Kamiński , L. Leśniak

We describe the $\pi\pi$ $S$-wave in $D^+ \to\pi^+ \pi^- \pi^+$ decays using a unitary model for the $\pi\pi$ Final State Interactions (FSI). The three body decay is treated as a quasi two-body process where, at the weak vertex, the D meson…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. R. Boito , B. El-Bennich , B. Loiseau , O. Leitner

We study the contributions for the $K^+K^-$ and $K^0\bar K^0$ originated from the intermediate states $\phi(1020)$ and $\phi(1680)$ in the charmless three-body decays $B\to K\bar K h$, with $h=(\pi, K)$, in the perturbative QCD approach.…

High Energy Physics - Phenomenology · Physics 2020-09-07 Ying-Ying Fan , Wen-Fei Wang

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

Using the Fixed Center Approximation to Faddeev equations we have investigated the $DKK$ and $DK\bar{K}$ three-body systems, considering that the $D^*_{s0}(2317)$ acts as the heavy cluster in both cases, generated from the $DK$ interaction…

High Energy Physics - Phenomenology · Physics 2018-12-04 V. R. Debastiani , J. M. Dias , E. Oset

In the present work we use three-body interaction formalism to investigate the $K$-multi-$\rho$ interactions. First, we reproduced the resonances $f_2(1270)$ and $K_1(1270)$ in the $\rho \rho$ and $\rho K$ two-body interactions…

High Energy Physics - Phenomenology · Physics 2015-09-16 C. W. Xiao

This study investigates the nature of the $X_0(2900)$ and $\chi_{c0}(3930)$ based on experimental results of the process $B^+$$\to$$D^+ D^- K^+$. We focus on the S-wave $D^{*-}K^{*+}$ and $D_s^+D_s^-$ molecular states, which can be related…

High Energy Physics - Phenomenology · Physics 2024-08-14 Zuo-Ming Ding , Qi Huang , Jun He

We propose a novel approach to describe the $D^+\to K^+K^-K^+$ decay amplitude, based on chiral effective Lagrangians, which can be used to extract information about $K\bar{K}$ scattering. Our trial function is an alternative to the widely…

High Energy Physics - Phenomenology · Physics 2018-10-03 R. T. Aoude , P. C. Magalhães , A. C. dos Reis , M. R. Robilotta

We investigate the existence of the three-body molecular state composed of $DD^*\bar{K}^*$ within the one-boson-exchange (OBE) model. A major challenge is that while the pseudoscalar-meson couplings are well-determined, the couplings for…

High Energy Physics - Phenomenology · Physics 2026-02-13 Yan-Ke Chen , Lu Meng , Jun-Zhang Wang , Shi-Lin Zhu

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in $\bar{K}NN$ and $\bar{K}\bar{K}N$ systems are considered. In particular,…

Nuclear Theory · Physics 2017-01-04 N. V. Shevchenko

Exploiting $B$-meson decays for Standard Model tests and beyond requires a precise understanding of the strong final-state interactions that can be provided model-independently by means of dispersion theory. This formalism allows one to…

High Energy Physics - Phenomenology · Physics 2016-02-17 J. T. Daub , C. Hanhart , B. Kubis

In this research the weak decay of $B^+_c$ decays to the $K^+K^-\pi^+$ final state, which is observed by LHCb collaboration for the first time, is calculated in the quasi-two-body decays which takes into account the $B^0_s$, $\chi_{c0}$ and…

High Energy Physics - Phenomenology · Physics 2023-02-16 Behnam Mohammadi

We study theoretically the $BD\bar{D}$ and $BDD$ systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the Fixed Center Approximation to the Faddeev equations which…

High Energy Physics - Phenomenology · Physics 2018-05-11 J. M. Dias , V. R. Debastiani , L. Roca , S. Sakai , E. Oset

We consider the resonant Fermi gas, that is, two-component fermions in three dimensions interacting by a short-range potential of large scattering length. We introduce a quantity, the three-body contact, that determines several observables.…

Quantum Gases · Physics 2024-04-23 Félix Werner , Xavier Leyronas

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

A coupled-channel approach is applied to the charged tetraquark state $T_{cc}^+$ recently discovered by the LHCb Collaboration. The parameters of the interaction are fixed by a fit to the observed line shape in the three-body $D^0D^0\pi^+$…

High Energy Physics - Phenomenology · Physics 2022-01-25 Meng-Lin Du , Vadim Baru , Xiang-Kun Dong , Arseniy Filin , Feng-Kun Guo , Christoph Hanhart , Alexey Nefediev , Juan Nieves , Qian Wang

Within an adiabatic approximation to the three-body Coulomb system, we study the strength of the leading order conformaly invariant attractive dipole interaction produced when a slow charged particle $q_3$ (with mass $m_3$) is captured by…

Atomic Physics · Physics 2015-05-14 A. Delfino , T. Frederico , Lauro Tomio