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Aoki, Sinya; Fukaya, Hidenori

doi:10.1103/physrevd.84.014501

Cited by 72 publications

(119 citation statements)

References 64 publications

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“…For the case of the Dudek13 [27] data, with M π = 391 MeV, the extrapolated phase shift is at slightly lower energies than the experiment. For the Aoki11 data [30], the extrapolation shows large uncertainties so that both sets of data are fitted together, and the phase shift at the physical pion mass is also slightly offset. The extrapolated ρ from the analysis of the Alexandrou17 data is lighter than the one from experiment.…”

Section: Resultsmentioning

confidence: 99%

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Chiral extrapolations of the ρ(770) meson in Nf=2+1 lattice QCD simulations

Molina

Döring

et al. 2017

Phys. Rev. D

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Recent N f = 2 + 1 lattice data for meson-meson scattering in p-wave and isospin I = 1 are analyzed using a unitarized model inspired by Chiral Perturbation Theory in the inverse-amplitude formulation for two and three flavors. Chiral extrapolations are performed that postdict phase shifts extracted from experiment quite well. In addition, the low-energy constants are compared to the ones from a recent analysis of N f = 2 lattice QCD simulations to check for the consistency of the hadronic model used here. Some inconsistencies are detected in the fits to N f = 2 + 1 data, in contrast to the previous analysis of N f = 2 data.

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Section: Resultsmentioning

confidence: 99%

“…Several simulations of the ρ meson phase shifts in N f = 2 + 1 flavors have been carried out in recent years [26][27][28][29][30][31][32][33][34][35]. In this study we use the model of Ref.…”

Section: Introductionmentioning

confidence: 99%

Chiral extrapolations of the ρ(770) meson in Nf=2+1 lattice QCD simulations

Molina

Döring

et al. 2017

Phys. Rev. D

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“…Each is characterized by isospin I, maximal I3 = I, strangeness S, and G-parity, where applicable, expressed in terms of the gauge-invariant three-quark and quark-antiquark operators defined in Eqs. (17) and (13), respectively. UG is the quantum operator that effects a Gparity transformation.…”

Section: Single-hadron Operators Of Definite Momentummentioning

confidence: 99%

“…Other recent progress in calculating excited-state energies in lattice QCD can be found in Refs. [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD

et al. 2013

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Multi-hadron operators are crucial for reliably extracting the masses of excited states lying above multi-hadron thresholds in lattice QCD Monte Carlo calculations. The construction of multi-hadron operators with significant coupling to the lowest-lying multi-hadron states of interest involves combining single hadron operators of various momenta. The design and implementation of large sets of spatially-extended single-hadron operators of definite momentum and their combinations into two-hadron operators are described. The single hadron operators are all assemblages of gaugecovariantly-displaced, smeared quark fields. Group-theoretical projections onto the irreducible representations of the symmetry group of a cubic spatial lattice are used in all isospin channels. Tests of these operators on 24 3 × 128 and 32 3 × 256 anisotropic lattices using a stochastic method of treating the low-lying modes of quark propagation which exploits Laplacian Heaviside quark-field smearing are presented. The method provides reliable estimates of all needed correlations, even those that are particularly difficult to compute, such as ηη → ηη in the scalar channel, which involves the subtraction of a large vacuum expectation value. A new glueball operator is introduced, and the evaluation of the mixing of this glueball operator with a quark-antiquark operator, ππ, and ηη operators is shown to be feasible.

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“…The low-energy constants are determined to fit relevant experimental data, so far, although, in principle, they can be calculated in the fundamental theory, QCD, for instance, by lattice QCD method. (3) Potential from Lattice QCD Lattice QCD (LQCD) is reaching a stage of giving realistic and practical data on the hadron spectrum, and now is applied also to analyzing hadronic interactions, such as nuclear force [6], dibaryons [7] and hadron resonances [8]. Among them, the HAL-QCD has developed a new method to calculate the scattering phase shifts of hadrons by using "potentials" derived in LQCD.…”

Section: Introductionmentioning

confidence: 99%