Hadron properties in lattice QCD with dynamical fermions

Born, K. D.; Laermann, Edwin; Pirch, Norbert; Walsh, Thomas; Zerwas, P.M.

doi:10.1103/physrevd.40.1653

Cited by 126 publications

(109 citation statements)

References 20 publications

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“…5. The latter arises due to the breaking of the string and is represented by a screened potential [18]. The similarity is astonishing more so since we have used conventional values for ρ = 1, δ = 1/11, Λ = 300 MeV and only varied m 0 , which becomes for the best fit m 0 = 345.7 MeV within the expected range Λ < m 0 < 2Λ [10,21].…”

Section: Discussionmentioning

confidence: 98%

“…The approximations used to find the solution to the DS equations do not contain quark loops and therefore they incorporate no mechanism for screening, i.e. a mechanism derivable from the breaking of the string [18,25]. The truncation in the DS set of equations and the absence of multigluon exchanges might be responsible for the missing linear rise at large r. …”

Section: Heavy Quark Dynamics From Dyson-schwinger Equationsmentioning

confidence: 99%

“…has been shown to describe these lattice results [18]. This parameterization shows screening, associated to quarks loops, which has been cast in the form of the additional factor multiplying the Cornell potential, leading at large values of r to a constant β/γ.…”

Section: Heavy Quark Dynamics From Latticementioning

confidence: 99%

“…The value of γ = 0.38 fm −1 is fixed to get a reasonable spectral fit. It is important to emphasize that the values of the parameters of the Aachen potential extracted from lattice data [18] can only give a reasonable description of the masses of the low lying quarkonia.…”

Section: Quarkonia Description By Static Potentialsmentioning

confidence: 99%

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Heavy meson interquark potential

González¹,

Mathieu²,

Vento³

2011

Phys. Rev. D

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The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum dependence which is free from infrared divergences. We calculate the interquark static potential for heavy mesons by assuming that it is given by a massive One Gluon Exchange interaction and compare with phenomenologyical fits inspired by lattice QCD. We apply these potential forms to the description of quarkonia and conclude that, even though some aspects of the confinement mechanism are absent in the Dyson-Schwinger formalism, the spectrum can be reasonably reproduced. We discuss possible explanations for this outcome.

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Section: Discussionmentioning

confidence: 98%

Section: Heavy Quark Dynamics From Dyson-schwinger Equationsmentioning

confidence: 99%

Section: Heavy Quark Dynamics From Latticementioning

confidence: 99%

Section: Quarkonia Description By Static Potentialsmentioning

confidence: 99%

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Heavy meson interquark potential

González¹,

Mathieu²,

Vento³

2011

Phys. Rev. D

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“…The spontaneous creation of light quark pairs may give rise to a breakup of the color flux tube between the two heavy quarks. It has been proposed that this translates into a screened funnel potential [2,6,8], say the potential does not rise continuously with the interquark distance but it saturates at the splitting energy of the heavy quark pair. Although string breaking can not be said to be definitely confirmed through lattice calculations [7] a quite rapid cross-over from a linear rising to a flat potential is well established in SU(2) Yang-Mills theories [8].…”

Section: Introductionmentioning

confidence: 99%

Heavy meson description with a screened potential

et al. 2003

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We perform a quark model calculation of the bb and cc spectra from a screened funnel potential form suggested by unquenched lattice calculations. A connection between the lattice screening parameter and an effective gluon mass directly derived from QCD is established. Spin-spin energy splittings, leptonic widths and radiative decays are also examined providing a test for the description of the states.

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Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

Bali¹,

Collins²,

Peter³

et al. 2023

J. High Energ. Phys.

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We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing Nf = 2 + 1 flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within the quark mass plane, utilizing three distinct trajectories, two of which intersect close to the physical quark mass point and the third one approaching the SU(3) chiral limit. The results are extrapolated to the continuum limit, utilizing six different lattice spacings ranging from a ≈ 0.10 fm down to below 0.04 fm. The light pion mass varies from Mπ ≈ 429 MeV down to 127 MeV. In general, the spatial extent is kept larger than four times the inverse pion mass and larger than 2.3 fm, with additional small and large volume ensembles to investigate finite size effects. We determine the Wilson flow scales $$ \sqrt{t_{0,\textrm{ph}}}={0.1449}_{(9)}^{(7)}\textrm{fm} $$ t 0 , ph = 0.1449 9 7 fm [1] and $$ {t}_0^{\ast}\approx {t}_{0,\textrm{ph}} $$ t 0 ∗ ≈ t 0 , ph [2] from the octet cascade (Ξ baryon). Determining the light baryon spectrum in the continuum limit, we find the nucleon mass $$ {m}_N={941.7}_{(7.6)}^{(6.5)} $$ m N = 941.7 7.6 6.5 MeV and the other stable baryon masses to agree with their experimental values within sub-percent level uncertainties. Moreover, we determine SU(3) and SU(2) chiral perturbation theory low energy constants, including the octet and the Ω baryon sigma terms σπN = 43.9(4.7) MeV, $$ {\sigma}_{\pi \Lambda}={28.2}_{(5.4)}^{(4.3)} $$ σ π Λ = 28.2 5.4 4.3 MeV, $$ {\sigma}_{\pi \Sigma}={25.9}_{(6.1)}^{(3.8)} $$ σ π Σ = 25.9 6.1 3.8 MeV, $$ {\sigma}_{\pi \Xi}={11.2}_{(6.4)}^{(4.5)} $$ σ π Ξ = 11.2 6.4 4.5 and $$ {\sigma}_{\pi \Omega}={6.9}_{(4.3)}^{(5.3)} $$ σ π Ω = 6.9 4.3 5.3 MeV, as well as various parameters, renormalization factors and improvement coefficients that are relevant for simulations with our lattice action.

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Hadron properties in lattice QCD with dynamical fermions

Cited by 126 publications

References 20 publications

Heavy meson interquark potential

Heavy meson interquark potential

Heavy meson description with a screened potential

Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

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