Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering

Abstract

We present the first lattice result of the near threshold ${\Lambda }_c{\Lambda }_c$ scattering with $I(J^P)=0(0^{+})$. The calculation is performed on two $N_f=2+1$ Wilson-Clover ensembles with pion mass $m_{\pi }\sim 303$\,MeV and lattice spacing $a=0.07746$\,fm. The Lüscher's finite volume method is utilized to extract the scattering parameters from the finite-volume spectrum. The coupled channel ${\Xi }_{cc}N$ is ignored in the scattering analysis based on the observation that the energy levels computed from the ${\Lambda }_c{\Lambda }_c$ and ${\Xi }_{cc}N$ operators do not mix. The ${\Sigma }_c{\Sigma }_c$ channel is not included either since the energy range explored in this study is well below its threshold. Our results indicate that the interaction in the ${\Lambda }_c{\Lambda }_c$ single channel is repulsive, and the scattering length is determined to be $a_0=-0.21(4)(8)$\,fm, where the first error is the statistical error and the second is the systematic error.

arXiv comment9 pages, 6 figures

References in corpus (36)

• The Chroma Software System for Lattice QCD
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• A survey of heavy-heavy hadronic molecules
• $\Lambda \Lambda$ and N$\Xi$ interactions from Lattice QCD near the physical point
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• Nucleon-Nucleon Scattering Parameters in the Limit of SU(3) Flavor Symmetry
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• Possible Deuteron-like Molecular States Composed of Heavy Baryons
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Mass of the H-dibaryon
• Dibaryon with highest charm number near unitarity from lattice QCD
• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• Deuteron-like heavy dibaryons from Lattice QCD
• Present Constraints on the H-dibaryon at the Physical Point from Lattice QCD
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Possible ${\Lambda }_c{\Lambda }_c$ molecular bound state
• A variational study of two-nucleon systems with lattice QCD
• First Lattice QCD determination of semileptonic decays of charmed-strange baryons ${\Xi }_c$
• Heavy Baryon-Antibaryon Molecules in Effective Field Theory
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Possible $H$-like dibaryon states with heavy quarks
• Charmonium resonances with $J^{PC}=1^{--}$ and $3^{--}$ from $\bar{D}D$ scattering on the lattice
• Heavy flavor dibaryons
• Quark mass dependence of H-dibaryon in $\Lambda \Lambda$ scattering
• ${\Xi }_c-{\Xi }_c^{\prime }$ mixing From Lattice QCD
• Doubly charmed multibaryon systems
• Hidden-charm Hexaquarks from Lattice QCD
• Dibaryons with two heavy quarks
• Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD

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