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We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a…

Atomic Physics · Physics 2013-09-25 Maxim A. Efremov , Lev Plimak , Misha Yu. Ivanov , Wolfgang P. Schleich

A comprehensive study of the $S$-wave heavy tetraquark states with identical quarks and antiquarks, specifically $QQ{\bar Q'}\bar Q'$ ($Q, Q'=c,b$), $QQ\bar s\bar s$/$\bar Q\bar Q ss$, and $QQ\bar q\bar q$/$\bar Q\bar Q qq$ ($q=u,d$), are…

High Energy Physics - Phenomenology · Physics 2024-04-02 Qi Meng , Guang-Juan Wang , Makoto Oka

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 predict several new exotic doubly-heavy hadronic resonances, inferring from the observed exotic bottomonium-like and charmonium-like narrow states $X(3872)$, $Z_b(10610)$, $Z_b(10650)$, $Z_c(3900)$, and $Z_c(4020/4025)$. We interpret the…

High Energy Physics - Phenomenology · Physics 2015-09-23 Marek Karliner , Jonathan L. Rosner

We calculate the mass spectrum of the S-wave fully heavy tetraquark systems $ QQ\bar Q\bar Q~(Q=c,b) $ with both normal $ (J^{PC}=0^{++},1^{+-},2^{++}) $ and exotic $ (J^{PC}=0^{+-},1^{++},2^{+-}) $ C-parities using three different quark…

High Energy Physics - Phenomenology · Physics 2024-03-27 Wei-Lin Wu , Yan-Ke Chen , Lu Meng , Shi-Lin Zhu

With a quark level interaction, we give a unified description of the loosely bound molecular systems composed of the heavy flavor hadrons $(\bar{D},\bar{D}^*)$, $(\Lambda_c, \Sigma_c, \Sigma_c^*)$, and $(\Xi_c, \Xi_c^\prime,\Xi_c^*)$. Using…

High Energy Physics - Phenomenology · Physics 2022-07-13 Kan Chen , Rui Chen , Lu Meng , Bo Wang , Shi-Lin Zhu

Inspired by the newly observed $T_{cc}^+$ state, we systematically investigate the $S$-wave triple-charm molecular states composed of $D^*D^*D$ and $D^*D^*D^*$. We employ the one-boson-exchange model to derive the interactions between…

High Energy Physics - Phenomenology · Physics 2022-04-29 Si-Qiang Luo , Tian-Wei Wu , Ming-Zhu Liu , Li-Sheng Geng , Xiang Liu

Based on a simplest molecular orbital theory of H$_{2}^{+}$, a three-parameter model potential function is proposed to describe ground-state diatomic systems with closed-shell and/or S-type valence-shell constituents over a significantly…

Chemical Physics · Physics 2009-11-11 Rui-Hua Xie , Jiangbin Gong

Inspired by the recent observation of a very narrow state, called $T_{cc}^+$, by the LHCb collaboration, the possible bound states and low-lying resonance states of the doubly heavy tetraquark states $cc\bar{u}\bar{d}$ ($T_{cc}$) and…

High Energy Physics - Phenomenology · Physics 2022-05-11 Xiaoyun Chen

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

Two- and three-body correlations in partially filled degenerate fermion shells are studied numerically for various interactions between the particles. Three distinct correlation regimes are defined, depending on the short-range behavior of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arkadiusz Wojs , John J. Quinn

Fully-heavy tetraquark states, i.e. $cc\bar{c}\bar{c}$, $bb\bar{b}\bar{b}$, $bb\bar{c}\bar{c}$ ($cc\bar{b}\bar{b}$), $cb\bar{c}\bar{c}$, $cb\bar{b}\bar{b}$, and $cb\bar{c}\bar{b}$, are systematically investigated by means of a…

High Energy Physics - Phenomenology · Physics 2021-07-14 Gang Yang , Jialun Ping , Jorge Segovia

Both unitary chiral theories and lattice QCD simulations show that the $DK$ interaction is attractive and can form a bound state, namely, $D^*_{s0}(2317)$. Assuming the validity of the heavy antiquark-diquark symmetry (HADS), the…

High Energy Physics - Phenomenology · Physics 2020-10-28 Tian-Wei Wu , Ming-Zhu Liu , Li-Sheng Geng , Emiko Hiyama , Manuel Pavon Valderrama , Wen-Ling Wang

The prototype of a Kbar nuclear cluster, K^-pp, has been investigated using effective KbarN potentials based on chiral SU(3) dynamics. Variational calculation shows a bound state solution with shallow binding energy B(K^-pp)=20 \pm 3 MeV…

Nuclear Theory · Physics 2015-05-13 Akinobu Doté , Tetsuo Hyodo , Wolfram Weise

While hidden, singly, doubly, and fully heavy tetraquark states have been experimentally observed, triply heavy tetraquark states remain unconfirmed. We systematically investigate the spectroscopic and decay properties of four triply…

High Energy Physics - Phenomenology · Physics 2026-03-12 Hong-Tao An , Yu-Shuai Li , Si-Qiang Luo

The hydrogen atom as relativistic bound-state system of a proton and an electron in the complex-mass scheme is investigated. Interaction of a proton and an electron in the atom is described by the Lorentz-scalar Coulomb potential; the…

Quantum Physics · Physics 2019-03-19 Mikhail N. Sergeenko

We study the energy spectrum of three-particle systems (He-p-\mu), (He-d-\mu), (Li-p-\mu) and (Li-d-\mu) on the basis of variational approach with exponential and Gaussian basis. Using the Complex Coordinate Rotation (CCR) method we…

High Energy Physics - Phenomenology · Physics 2024-12-03 A. V. Eskin , V. I. Korobov , A. P. Martynenko , F. A. Martynenko

Motivated by recent HAL QCD simulations of the $\phi N$ interaction in the $^4S_{3/2}$ channel and its modification in the $^2S_{1/2}$ channel, we develop a first-principles few-body framework that embeds these potentials into…

Nuclear Theory · Physics 2026-05-26 Rimantas Lazauskas , Roman Ya. Kezerashvili , Igor Filikhin

Simple few-body systems often serve as theoretical laboratories across various branches of theoretical physics. A prominent example is the two-electron Harmonium model, which has been widely studied over the past three decades to gain…

Quantum Physics · Physics 2025-08-19 Nahid Sadat Riyahi , Mohammad Goli , Shant Shahbazian

Bound states of double-heavy tetraquarks are studied in a constituent quark model. Two bound states are found for isospin and spin-parity I(J^P ) = 0(1^+) in the bb\bar{u}\bar{d} channel. One is deeply bound and compact made of colored…

Nuclear Theory · Physics 2021-01-27 Q. Meng , E. Hiyama , A. Hosaka , M. Oka , P. Gubler , K. U. Can , T. T. Takahashi , H. S. Zong