Doubly Charmed Tetraquark $T_{cc}^{+}$ from Lattice QCD near Physical Point

Abstract

The doubly charmed tetraquark $T_{cc}^{+}$ recently discovered by the LHCb Collaboration is studied on the basis of $(2+1)$-flavor lattice QCD simulations of the $D^{\ast }D$ system with nearly physical pion mass $m_{\pi }=146$ MeV. The interaction of $D^{\ast }D$ in the isoscalar and $S$-wave channel, derived from the hadronic spacetime correlation by the HAL QCD method, is attractive for all distances and leads to a near-threshold virtual state with a pole position $E_{\text{pole}}=-59\left({}_{-99}^{+53}\right)\left({}_{-67}^{+2}\right)$ keV and a large scattering length $1/a_0=0.05(5)\left({}_{-2}^{+2}\right){\text{fm}}^{-1}$. The virtual state is shown to evolve into a loosely bound state as $m_{\pi }$ decreases to its physical value by using a potential modified to $m_{\pi }=135$ MeV based on the pion-exchange interaction. Such a potential is found to give a semiquantitative description of the LHCb data on the $D^0{D}^0{\pi }^{+}$ mass spectrum. Future study is necessary to perform physical-point simulations with the isospin-breaking and open three-body-channel effects taken into account.

7 pages, 4 figures + supplemental material; v3, match the published version in PRL

References in corpus (23)

• Multiquark Resonances
• FLAG Review 2021
• An updated review of the new hadron states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Nuclear Force from Lattice QCD
• 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 $T_{cc}^{+}$
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• Stable multiquark states with heavy quarks in a diquark model
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Can we understand the decay width of the $T_{cc}^{+}$ state?
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• A variational study of two-nucleon systems with lattice QCD
• The Doubly-heavy Tetraquarks ($q{q}^{\prime }\bar{Q}\overline{Q^{\prime }}$) in a Constituent Quark Model with a Complete Set of Harmonic Oscillator Bases
• Doubly heavy tetraquarks in a chiral-diquark picture
• Decoding the double heavy tetraquark state $T_{cc}^{+}$
• Optimized Two-Baryon Operators in Lattice QCD

Cited by in corpus (37)

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• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Analysis of $T_{cc}$ and $T_{bb}$ based on the hadronic molecular model and their spin multiplets
• Doubly charm tetraquark channel with isospin $1$ from lattice QCD
• Doubly heavy tetraquark bound and resonant states
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Virtual states in the coupled-channel problems with an improved complex scaling method
• Doubly heavy tetraquark states in a mass splitting model
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Two-pion exchange for coupled-channel scattering of two heavy mesons
• Structure of open-flavour four-quark states in the charm and bottom region
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Mass and decay width of $T_{ccs}$ from symmetries
• Femtoscopic study of the $\Omega \alpha$ interaction in heavy-ion collisions
• $P$-wave states $T_{bb}^{-}$ from diquarks
• Coupled-channel ${\Lambda }_c{K}^{+}-p{D}_s$ Interaction in Flavor $\text{SU}\left(3\right)$ Limit of Lattice QCD
• Effective range expansion with a long-range force
• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• Construction of general $N$-body lattice operators with arbitrary momenta
• Coupled-channel scattering of $DD,D{D}^{\ast }$ and $D^{\ast }{D}^{\ast }$ in isospin-$1$ from lattice QCD
• Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Exotic hadrons associated with $b$-quark
• Low-energy $DD$ scattering in lattice QCD
• Possible ${\bar{D}}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ and ${\Xi }_{cc}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ molecules as superflavor partners of $T_{cc}$