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Doubly Charmed Tetraquark $T^+_{cc}$ from Lattice QCD near Physical Point
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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 $D^*D$ system with nearly physical pion mass $m_\pi=146$ MeV. The interaction of $D^*D$ 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 $E_\text{pole}=-59\left(^{+53}_{-99}\right)\left(^{+2}_{-67}\right)$ 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 $D^0D^0\pi^+$ mass spectrum. Future study is necessary to perform physical-point simulations with the isospin-breaking and open three-body-channel effects taken into account.
Forward citations
Cited by 8 Pith papers
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Possible $\bar{D}^{(*)} \Xi_{cc}^{(*)}$ and $\Xi_{cc}^{(*)}\Xi_{cc}^{(*)}$ molecules as superflavor partners of $T_{cc}$
Using one-boson-exchange potentials and superflavor symmetry, the authors predict many hadronic molecules of charmed mesons and doubly charmed baryons as partners of the Tcc tetraquark.
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$S$-wave kaon-nucleon interactions from lattice QCD at the physical point
First physical-point lattice QCD calculation of S-wave kaon-nucleon interactions finds no resonance or bound state, with scattering lengths -0.226(5) fm (I=1) and +0.031(62) fm (I=0).
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Femtoscopic correlation functions for D0K+ and D0Dbar*0 pairs are predicted to be sensitive to the molecular versus bare-state composition of D_s0*(2317) and X(3872).
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Analytic decomposition of two-body electroweak processes with left-hand cuts
An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.
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Symmetry Analysis of Compact Tetraquark States and Implications for the Level Ordering of the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$
Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.
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Investigating the two-pion exchange of the double charm $DD^*$ chiral interactions and $T_{cc}$
In this chiral EFT calculation the I=0 DD* two-pion-exchange potential is repulsive, and its near-cancellation with attractive contact and one-pion terms provides the weak binding of Tcc.
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Production mechanism of doubly charmed exotic mesons $T_{cc}$
A coupled-channel model generates the Tcc(3875)+ as an isovector DD* molecule and predicts three additional J=1 tetraquark states, including a negative-parity resonance.
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Recent progress on charmed hadron interactions from lattice QCD
A review of lattice QCD results on charmed hadron interactions: T_cc near threshold, an attractive N-J/psi force, and an Omega_ccc-Omega_ccc state near unitarity.
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