Analysis of the LQCD results on the lowest-lying baryon masses in chiral perturbation theory

Camalich, J. Martin; Geng, Li-Sheng; Vacas, M. J. Vicente

doi:10.1063/1.3542022

Cited by 24 publications

(58 citation statements)

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“…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%

Baryon spectrum withNf=2+1+1twisted mass fermions

et al. 2014

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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.

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Section: Chiral and Continuum Extrapolationmentioning

confidence: 99%

Baryon spectrum withNf=2+1+1twisted mass fermions

et al. 2014

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“…The extrapolation to the physical point allows to determine σ πN together with other sigma terms and strangeness content of baryons. The difficulties encountered in HBχPT [58,65] to accomplish this program were overcome applying cut-off regularization schemes [66,67], using covariant formalisms up to O(p 3 ) [68][69][70] and O(p 4 ) [71][72][73][74][75], or complementing HBχPT with an expansion in the inverse number of colors (large-N C ) [74,76,77]. Although SU (3)-flavor calculations have reached a considerable degree of maturity, the large number of unknown LECs at O(p 4 ) and the size of the current lQCD data set limits, at present, on the accuracy attainable in the sigma terms.…”

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confidence: 99%

Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

et al. 2013

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The pion-mass dependence of the nucleon mass within the covariant SU (2) baryon chiral perturbation theory both without and with explicit ∆ (1232) degrees of freedom up to order p 4 is investigated. By fitting to a comprehensive set of lattice QCD data in 2 and 2+1 flavors from several collaborations, for pion masses Mπ < 420 MeV, we obtain low energy constants of natural size and compatible with pion nucleon scattering data. Our results are consistent with the rather linear pion-mass dependence showed by lattice QCD. In the 2 flavor case we have also performed simultaneous fits to nucleon mass and σπN data. As a result of our analysis, which encompasses the study of finite volume corrections and discretization effects, we report a value of σπN = 41(5)(4) MeV in the 2 flavor case and σπN = 52(3)(8) MeV for 2+1 flavors, where the inclusion of the ∆ (1232) resonance changes the results by around 9 MeV. In the 2 flavor case we are able to set independently the scale for lQCD data, given by a Sommer scale of r0 = 0.493(23) fm.

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“…The heavy baryon chiral perturbation theory (HBχPT) has been proposed and developed to solve the power-counting problem which arises from the nonvanishing baryon mass in the chiral limit [3,4]. Although relativistic approaches (such as infrared regularization [5] and the extended on-mass-shell scheme [6,7]) have made substantial progress in many aspects [8,9,10,11,12,13], HBχPT is still a reasonable and powerful tool for the study of meson-baryon scattering processes. Dark matter interactions with mesons or nucleons [14,15] and the breaking of Lorentz and CPT symmetry [16] can also be investigated in HBχPT.…”

Section: Introductionmentioning

confidence: 99%

Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

Huang

Zhang

et al. 2017

Phys. Rev. D

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We calculate the T-matrices of pseudoscalar meson octet-baryon scattering to one-loop order in SU(3) heavy baryon chiral perturbation theory. The pertinent combinations of lowenergy constants are determined by fitting to phase shifts of πN and KN scattering and the corresponding data. By using these low-energy constants, we obtain the strong phase shift difference of πΛ scattering at the Ξ mass, δP − δS = (8.8 ± 0.2) degrees, in agreement with experimental results. We find that the phase shifts in the S01(πΣ), S01(KΞ), S01(KN ), and S11(KΣ) waves are so strong that resonances may be generated dynamically in all these channels. We also predict the scattering lengths and make comparisons with the results obtained from the threshold T-matrices in heavy baryon chiral perturbation theory and the method of covariant infrared regularization. The issue of convergence is also discussed in detail.

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Analysis of the LQCD results on the lowest-lying baryon masses in chiral perturbation theory

Cited by 24 publications

References 0 publications

Baryon spectrum withNf=2+1+1twisted mass fermions

Baryon spectrum withNf=2+1+1twisted mass fermions

Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD data

Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

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