pMR: A high-performance communication library

Georg, Peter; Richtmann, Daniel; Wettig, Tilo

doi:10.22323/1.256.0361

Cited by 12 publications

(11 citation statements)

References 4 publications

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“…We use the multigrid solver of refs. [60][61][62][63] for the inversion of the Dirac operator. Our code implementing distillation is written within the framework of the Chroma software package [64].…”

Section: Lattice Detailsmentioning

confidence: 99%

Charmonium-like resonances with JPC = 0++, 2++ in coupled $$ \mathrm{D}\overline{\mathrm{D}} $$, $$ {\mathrm{D}}_{\mathrm{s}}{\overline{\mathrm{D}}}_{\mathrm{s}} $$ scattering on the lattice

Prelovšek

Collins

Mohler

et al. 2021

J. High Energ. Phys.

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We present the first lattice investigation of coupled-channel $$ D\overline{D} $$ D D ¯ and $$ {D}_s{\overline{D}}_s $$ D s D ¯ s scattering in the JPC = 0++ and 2++ channels. The scattering matrix for partial waves l = 0, 2 and isospin zero is determined using multiple volumes and inertial frames via Lüscher’s formalism. Lattice QCD ensembles from the CLS consortium with mπ ≃ 280 MeV, a ≃ 0.09 fm and L/a = 24, 32 are utilized. The resulting scattering matrix suggests the existence of three charmonium-like states with JPC = 0++ in the energy region ranging from slightly below 2mD up to 4.13 GeV. We find a so far unobserved $$ D\overline{D} $$ D D ¯ bound state just below threshold and a $$ D\overline{D} $$ D D ¯ resonance likely related to χc0(3860), which is believed to be χc0(2P). In addition, there is an indication for a narrow 0++ resonance just below the $$ {D}_s{\overline{D}}_s $$ D s D ¯ s threshold with a large coupling to $$ {D}_s{\overline{D}}_s $$ D s D ¯ s and a very small coupling to $$ D\overline{D} $$ D D ¯ . This resonance is possibly related to the narrow X(3915)/χc0(3930) observed in experiment also just below $$ {D}_s{\overline{D}}_s $$ D s D ¯ s . The partial wave l = 2 features a resonance likely related to χc2(3930). We work with several assumptions, such as the omission of J/ψω, ηcη and three-particle channels. Only statistical uncertainties are quantified, while the extrapolations to the physical quark-masses and the continuum limit are challenges for the future.

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Section: Lattice Detailsmentioning

confidence: 99%

Charmonium-like resonances with JPC = 0++, 2++ in coupled $$ \mathrm{D}\overline{\mathrm{D}} $$, $$ {\mathrm{D}}_{\mathrm{s}}{\overline{\mathrm{D}}}_{\mathrm{s}} $$ scattering on the lattice

Prelovšek

Collins

Mohler

et al. 2021

J. High Energ. Phys.

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show abstract

“…Simulations were also performed on the Regensburg iData-Cool and Athene2 clusters, and the SFB/TRR 55 QPACE 2 [129] and QPACE 3 machines. We use the multigrid solver of [59,[130][131][132] for the inversion of the Dirac operator.…”

Section: Jhep08(2021)137mentioning

confidence: 99%

Masses and decay constants of the η and η′ mesons from lattice QCD

Bali

Braun

Collins

et al. 2021

J. High Energ. Phys.

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We determine the masses, the singlet and octet decay constants as well as the anomalous matrix elements of the η and η′ mesons in Nf = 2 + 1 QCD. The results are obtained using twenty-one CLS ensembles of non-perturbatively improved Wilson fermions that span four lattice spacings ranging from a ≈ 0.086 fm down to a ≈ 0.050 fm. The pion masses vary from Mπ = 420 MeV to 126 MeV and the spatial lattice extents Ls are such that LsMπ ≳ 4, avoiding significant finite volume effects. The quark mass dependence of the data is tightly constrained by employing two trajectories in the quark mass plane, enabling a thorough investigation of U(3) large-Nc chiral perturbation theory (ChPT). The continuum limit extrapolated data turn out to be reasonably well described by the next-to-leading order ChPT parametrization and the respective low energy constants are determined. The data are shown to be consistent with the singlet axial Ward identity and, for the first time, also the matrix elements with the topological charge density are computed. We also derive the corresponding next-to-leading order large-Nc ChPT formulae. We find F8 = 115.0(2.8) MeV, θ8 = −25.8(2.3)°, θ0 = −8.1(1.8)° and, in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme for Nf = 3, F0(μ = 2 GeV) = 100.1(3.0) MeV, where the decay constants read $$ {F}_{\eta}^8 $$ F η 8 = F8 cos θ8, $$ {F}_{\eta \prime}^8 $$ F η ′ 8 = F8 sin θ8, $$ {F}_{\eta}^0 $$ F η 0 = −F0 sin θ0 and $$ {F}_{\eta \prime}^0 $$ F η ′ 0 = F0 cos θ0. For the gluonic matrix elements, we obtain aη(μ = 2 GeV) = 0.0170(10) GeV3 and aη′(μ = 2 GeV) = 0.0381(84) GeV3, where statistical and all systematic errors are added in quadrature.

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“…We use the multigrid solver of Refs. [51][52][53][54] for the inversion of the Dirac operator. Our code implementing distillation is written within the framework of the Chroma software package [55].…”

Section: Acknowledgementsmentioning

confidence: 99%

Charmonium resonances with JPC=1−− and 3−−

et al. 2019

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We present a lattice QCD study of charmonium resonances and bound states with J P C = 1 −− and 3 −− near the open-charm threshold, taking into account their strong transitions toDD. Vector charmonia are the most abundant in the experimentally established charmonium spectrum, while recently LHCb reported also the first discovery of a charmonium with likely spin three. TheDD scattering amplitudes for partial waves l = 1 and l = 3 are extracted on the lattice by means of the Lüscher formalism, using multiple volumes and inertial frames. Parameterizations of the scattering amplitudes provide masses and widths of the resonances, as well as the masses of bound states. CLS ensembles with 2+1 dynamical flavors of non-perturbatively O(a) improved Wilson quarks are employed with mπ 280 MeV, a single lattice spacing of a 0.086 fm and two lattice spatial extents of L = 24 and 32. Two values of the charm quark mass are considered to examine the influence of the position of theDD threshold on the hadron masses. For the lighter charm quark mass we find the vector resonance ψ(3770) with mass m = 3780(7) MeV and coupling g = 16.0( +2.1 −0.2 ) (related to the width), both consistent with their experimental values. The vector ψ(2S) appears as a bound state with m = 3666(10) MeV. The charmonium resonance with J P C = 3 −− is found at m = 3831( +10 −16 ) MeV, consistent with the X(3842) recently discovered by LHCb. At our heavier charm-quark mass the ψ(2S) as well as the ψ(3770) are bound states and the X(3842) remains a resonance. We stress that all quoted uncertainties are only statistical, while lattice spacing effects and the approach to the physical point still need to be explored. This study of conventional charmonia sets the stage for more challenging future studies of unconventional charmonium-like states.

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pMR: A high-performance communication library

Cited by 12 publications

References 4 publications

Charmonium-like resonances with JPC = 0++, 2++ in coupled $$ \mathrm{D}\overline{\mathrm{D}} $$, $$ {\mathrm{D}}_{\mathrm{s}}{\overline{\mathrm{D}}}_{\mathrm{s}} $$ scattering on the lattice

Charmonium-like resonances with JPC = 0++, 2++ in coupled $$ \mathrm{D}\overline{\mathrm{D}} $$, $$ {\mathrm{D}}_{\mathrm{s}}{\overline{\mathrm{D}}}_{\mathrm{s}} $$ scattering on the lattice

Masses and decay constants of the η and η′ mesons from lattice QCD

Charmonium resonances with JPC=1−− and 3−−

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