Finite volume effects in the chiral extrapolation of baryon masses

Lutz, Matthias; Bavontaweepanya, Ruchipas; Kobdaj, C.; Schwarz, K.

doi:10.1103/physrevd.90.054505

Cited by 82 publications

(206 citation statements)

References 78 publications

Supporting

Mentioning

199

Contrasting

Order By: Relevance

“…A comparison is also made with recent phenomenology results on the octet and decuplet baryon masses, obtained from an analysis of lattice QCD data based on the relativistic chiral Lagrangian [52]. As can be seen from Fig.…”

Section: Comparison With Results From Other Collaborationsmentioning

confidence: 65%

“…A very recent result is obtained using the relativistic chiral Lagrangian from Ref. [52], suggests a rather smaller value of σ πN = 39 + 2 − 1 MeV. We summarize lattice results on σ πN in Fig.…”

Section: E Determination Of the Lattice Spacingmentioning

confidence: 88%

“…We list the values extracted for the octet and decuplet baryons in Table IX. A number of other recent works [13,48,52,[59][60][61][62][63] have computed the light σ-terms for the octet and decuplet baryons by analyzing lattice QCD data from various collaborations. We compare our results with the results of these calculations in Figs.…”

Section: Chiral and Continuum Extrapolationmentioning

confidence: 99%

See 2 more Smart Citations

Baryon spectrum with Nf=2+1+1 twisted mass fermions

Alexandrou

Drach

Hadjiyiannakou

et al. 2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

View full text Add to dashboard Cite

The masses of the low lying baryons are evaluated using a total of ten ensembles of dynamical twisted mass fermion gauge configurations. The simulations are performed using two degenerate flavors of light quarks, and a strange and a charm quark fixed to approximately their physical values. The light sea quarks correspond to pseudo scalar masses in the range of about 210 MeV to 430 MeV. We use the Iwasaki improved gluonic action at three values of the coupling constant corresponding to lattice spacing a = 0.094 fm, 0.082 fm and 0.065 fm determined from the nucleon mass. We check for both finite volume and cut-off effects on the baryon masses. We examine the issue of isospin symmetry breaking for the octet and decuplet baryons and its dependence on the lattice spacing. We show that in the continuum limit isospin breaking is consistent with zero, as expected. We performed a chiral extrapolation of the forty baryon masses using SU(2) χPT. After taking the continuum limit and extrapolating to the physical pion mass our results are in good agreement with experiment. We provide predictions for the mass of the doubly charmed Ξ * cc , as well as of the doubly and triply charmed Ωs that have not yet been determined experimentally.

show abstract

Section: Comparison With Results From Other Collaborationsmentioning

confidence: 65%

Section: E Determination Of the Lattice Spacingmentioning

confidence: 88%

Section: Chiral and Continuum Extrapolationmentioning

confidence: 99%

See 1 more Smart Citation

Baryon spectrum with Nf=2+1+1 twisted mass fermions

Alexandrou

Drach

Hadjiyiannakou

et al. 2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

View full text Add to dashboard Cite

show abstract

“…Octet baryon masses and sigma terms Xiu-Lei Ren (4) 54 (1) 51 (2) σ πΛ 32 (1)(2) 32 (1) 30 (2) σ πΣ 34(1) (3) 33 (1) 37 (2) σ πΞ 16(1) (2) 18 (2) 15 (3) σ sN 27 (27) (4) 23 (19) 26 (21) σ sΛ 185(24) (17) 192 (15) 168 (14) σ sΣ 210(26) (42) 216 (16) 252 (15) σ sΞ 333(25) (13) 346 (15) 340 (13) In order to obtain an accurate determination of sigma terms, a careful examination of the LQCD data is essential, since not all of them are of the same quality though they are largely consistent with each other. In Ref.…”

Section: Pos(cd15)085mentioning

confidence: 99%

“…Chiral perturbation theory (ChPT) [12,13], as an effective field theory of low-energy QCD, provides a model independent framework to study the light-quark mass dependence (chiral extrapolation) [14,15,16,17,18,19,20,21], finite-volume corrections (FVCs) [22,23,24,25,26,27], and continuum extrapolations [28,29,30] to LQCD data.…”

Section: Introductionmentioning

confidence: 99%

Octet baryon masses in covariant baryon chiral perturbation theory up to O(p^4)

Ren¹,

Geng²,

Meng³

2016

Proceedings of the 8th International Workshop on Chiral Dynamics — PoS(CD15)

View full text Add to dashboard Cite

We report on a recent study of the ground-state octet baryon masses and sigma terms in covariant baryon chiral perturbation theory with the extended-on-mass-shell scheme up to next-to-next-tonext-to-leading order. To take into account lattice QCD artifacts, the finite-volume corrections and finite lattice spacing discretization effects are carefully examined. We perform a simultaneous fit of all the n f = 2 + 1 lattice octet baryon masses and find that the various lattice simulations are consistent with each other. Although the finite lattice spacing discretization effects up to O(a 2 ) can be safely ignored, the finite volume corrections cannot even for configurations with M φ L > 4. As an application, we predict the octet baryon sigma terms using the Feynman-Hellmann theorem. In particular, the pion-and strangeness-nucleon sigma terms are found to be σ πN = 55(1)(4) MeV and σ sN = 27(27)(4) MeV, respectively.

show abstract

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.

View full text Add to dashboard Cite

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.

show abstract

Finite volume effects in the chiral extrapolation of baryon masses

Cited by 82 publications

References 78 publications

Baryon spectrum with Nf=2+1+1 twisted mass fermions

Baryon spectrum with Nf=2+1+1 twisted mass fermions

Octet baryon masses in covariant baryon chiral perturbation theory up to O(p^4)

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

Contact Info

Product

Resources

About