Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method

Abstract

We present mass spectrum and magnetic moments of the $\bar{n}\bar{n}QQ$ states, where $n=u,d,s$ and $Q=c,b$. We solve four-body Schrödinger equation with a quark potential model by using diffusion Monte Carlo (DMC) method. The quark potential is based on the Coulomb, confinement and spin-spin interaction terms. We find mass and magnetic moment of the $T_{cc}^{+}$ state as $M_{T_{cc}^{+}}=3892\text{MeV}$ and $\mu =0.28{\mu }_N$, respectively. We also find the mass and magnetic moment of $T_{bb}^{-}$ as $M_{T_{bb}^{-}}=10338\text{MeV}$ and $\mu =-0.32{\mu }_N$, respectively. We find some bound state candidates of doubly heavy tetraquark systems with $I(J^P)=0(1{)}^{+}$ $nn\bar{b}\bar{b}$, $I(J^P)=0(0{)}^{+}$ $nn\bar{c}\bar{b}$, $I(J^P)=0(1{)}^{+}$ $nn\bar{c}\bar{b}$, and $I(J^P)=1/2(1{)}^{+}$ $ns\bar{b}\bar{b}$. We compare our results with other approaches in the literature.

16 pages, 7 figures, 8 tables

References in corpus (66)

• Heavy quarkonium: progress, puzzles, and opportunities
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Observation of an exotic narrow doubly charmed tetraquark
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Exotic meson-meson molecules and compact four--quark states
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Stable multiquark states with heavy quarks in a diquark model
• Stability of multiquarks in a simple string model
• Doubly-heavy tetraquarks
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• $T_{cc}^{+}$ and its partners
• Systematics of the heavy flavor hadronic molecules
• A lattice investigation of exotic tetraquark channels
• Stable double-heavy tetraquarks: spectrum and structure
• Masses of Doubly Heavy Tetraquarks with Error Bars
• Discovery potentials of double-charm tetraquarks
• Newly observed exotic doubly charmed meson $T_{cc}^{+}$
• Double-heavy tetraquark states with heavy diquark-antiquark symmetry
• $QQ\bar{q}\bar{q}$ in a chiral constituent quark model
• BB Potentials in Quenched Lattice QCD
• Spectroscopy, lifetime and decay modes of the $T_{bb}^{-}$ tetraquark
• Dynamical study of $\mathbf{QQ}-\bar{\mathbf{u}}\bar{\mathbf{d}}$ mesons
• Charmed Exotics in Heavy Ion Collisions
• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Four-quark Bound States in Chiral SU(3) Quark Model
• Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model
• Construction of $bb\bar{u}\bar{d}$ tetraquark states on lattice with NRQCD bottom and HISQ up/down quarks
• Doubly heavy hadrons and the domain of validity of doubly heavy diquark--anti-quark symmetry
• Nature of the doubly-charmed tetraquark $T_{cc}^{+}$ in a constituent quark model
• Exotic $bc\bar{q}\bar{q}$ four-quark states
• Colour and baryon number fluctuation of preconfinement system in production process and T_cc structure
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Doubly heavy tetraquark multiplets as heavy antiquark-diquark symmetry partners of heavy baryons
• Importance of meson-meson and of diquark-antidiquark creation operators for a $\bar{b}\bar{b}ud$ tetraquark
• Shallow Bound States and Hints for Broad Resonances with Quark Content $\bar{b}\bar{c}ud$ in $B$-$\bar{D}$ and $B^{\ast }$-$\bar{D}$ Scattering from Lattice QCD
• Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo
• Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$
• Diffusion Monte Carlo calculations of fully-heavy compact hexaquarks
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• A family of double-beauty tetraquarks: Axial-vector state $T_{bb;\bar{u}\bar{s}}^{-}$
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Fully open-flavor tetraquark states $bc\bar{q}\bar{s}$ and $sc\bar{q}\bar{b}$ with $J^P=0^{+},1^{+}$
• Stable scalar tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• The structure of the X(3872) as explained by a Diffusion Monte Carlo calculation
• Disentangling different structures in heavy-light four-quark states
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Existence and Non-Existence of Doubly Heavy Tetraquark Bound States
• Strong decays of singly heavy baryons from a chiral effective theory of diquarks
• Determination of the spectroscopic parameters of beauty-partners of $T_{cc}$ from QCD
• Mixing angles between the tetraquark states with two heavy quarks within QCD sum rules

Cited by in corpus (6)

• Doubly heavy tetraquark bound and resonant states
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Doubly heavy tetraquark states in a mass splitting model
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• Prediction of an $I(J^P)=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^{\ast }{B}^{\ast }$ Threshold Using Lattice QCD Potentials