Low-energy $DD$ scattering in lattice QCD

Abstract

We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^{+})$ and $0(1^{-})$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq 0.077$ fm and two different pion masses, $m_{\pi }\simeq 207$ and $305$ MeV. The scattering parameters are determined using the Lüscher's finite volume method. Our results indicate a weak repulsive interaction in the $1(0^{+})$ channel and a slightly attractive interaction in the $0(1^{-})$ channel. The $S$-wave isovector $DD$ scattering length and effective range, extrapolated to the physical pion mass, are $(-0.25\pm 0.08\pm 0.12)$ fm and $(-5.7\pm 4.5\pm 1.7)$ fm, respectively.

23 pages, 8 figures. Version to appear in Phys. Rev. D

References in corpus (51)

• The Chroma Software System for Lattice QCD
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Observation of an exotic narrow doubly charmed tetraquark
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Scattering processes and resonances from lattice QCD
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• A survey of heavy-heavy hadronic molecules
• Scattering phases for meson and baryon resonances on general moving-frame lattices
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• $I=1$ and $I=2$ $\pi -\pi$ scattering phase shifts from $N_{\mathrm{f}}=2+1$ lattice QCD
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Towards a theory of hadron resonances
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD
• Doubly Charmed Tetraquark $T_{cc}^{+}$ from Lattice QCD near Physical Point
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• 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
• The K+K+ Scattering Length from Lattice QCD
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Scattering lengths for two pseudoscalar meson systems
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• Detecting the long-distance structure of the X(3872)
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• $DDK$ system in finite volume
• First Lattice QCD determination of semileptonic decays of charmed-strange baryons ${\Xi }_c$
• Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875{)}^{+}$ from finite volume energy levels
• Towards the quark mass dependence of $T_{cc}^{+}$ from lattice QCD
• Bound state formation in the $DDK$ system
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Strong decays of the explicitly exotic doubly charmed $DDK$ bound state
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• ${\Xi }_c-{\Xi }_c^{\prime }$ mixing From Lattice QCD
• Revisiting $X(3872)\to D^0{\bar{D}}^0{\pi }^0$ in XEFT
• Doubly charm tetraquark channel with isospin $1$ from lattice QCD
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: isospin-1 $KK$ scattering length
• Hidden-charm Hexaquarks from Lattice QCD
• Search for a doubly-charged $DDK$ bound state in ${\rm Y}(1S,2S)$ inclusive decays and via direct production in $e^{+}{e}^{-}$ collisions at $\sqrt{s}$ = 10.520, 10.580, and 10.867 GeV
• Physical-mass calculation of $\rho (770)$ and $K^{\ast }(892)$ resonance parameters via $\pi \pi$ and $K\pi$ scattering amplitudes from lattice QCD
• Towards high partial waves in lattice QCD with a dumbbell-like operator
• Effective range expansion with a long-range force
• 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