Nucleon and delta sigma-terms

Cavalcante, Isabela P.; Robilotta, M. R.; Borges, J. Sá; Santos, Daniela Meneses; Zarnauskas, G. R. S.

doi:10.1590/s0103-97332007000100026

Cited by 9 publications

(1 citation statement)

References 4 publications

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“…For the π∆ sigma term we get σ π∆ = 20.6 MeV. Note that model studies give slightly larger values between 28 and 35 Mev [65,66]. Again, these results need to be refined and bolstered by more detailed precise fits to the lattice data including also error and correlation analysis including also lattice data on other observables -the mass data alone are not sufficient to precisely pin down all parameters.…”

Section: Pos(lat2005)009mentioning

confidence: 92%

Quark mass dependence of baryon properties

Meißner¹

2005

Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)

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I discuss the quark mass dependence of various baryon properties derived from chiral perturbation theory. Such representations can eventually be used as chiral extrapolation functions when lattice data at sufficiently small quark masses become available. The quark mass dependence is encoded in loop and contact term contributions, the latter given in terms of low-energy constants. I stress the importance of utilizing phenomenological input to constrain a certain class of low-energy constants and discuss the ensuing theoretical uncertainty for various baryon observables, like the nucleon and the baryon octet masses, the nucleon isovector anomalous magnetic moment and the axial-vector coupling of the nucleon. I stress the role of resonance decoupling and present first results for the delta mass based on an effective field theory in which the nucleon-delta mass splitting is counted as a small parameter. I also discuss briefly the pion mass dependence of the nuclear force as derived from chiral nuclear effective field theory.

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Section: Pos(lat2005)009mentioning

confidence: 92%

Quark mass dependence of baryon properties

Meißner¹

2005

Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)

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Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Fagundes¹,

Luna²,

Menon³

et al. 2012

Nuclear Physics A

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We discuss how the main features of the recent LHC data on elastic scattering can be described by a QCD-inspired formalism with a dynamical infrared mass scale. For this purpose new developments on a dynamical gluon mass approach are reported, with emphasis on a method to estimate uncertainty bounds in the predictions for the high-energy scattering observables. We investigate the effects due to the correlations among the fixed and free parameters involved and show that the band of predictions are consistent with the recent data from the TOTEM experiment, including the forward quantities and the differential cross section up to the dip position.

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Cross sections, multiplicity and moment distributions at the LHC

Beggio¹,

Luna²

2014

Nuclear Physics A

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The unitarity of the S-matrix requires that the absorptive part of the elastic scattering amplitude receives contributions from both the inelastic and the elastic channels. We explore this unitarity condition in order to describe, in a connected way, hadron-hadron observables like the total and elastic differential cross sections, the ratio of the real to imaginary part of the forward scattering amplitude and the inclusive multiplicity distributions in full phase space, over a large range of energies. We introduce non-perturbative QCD effects in the forward scattering amplitude by using the infrared QCD effective charge dependent on the dynamical gluon mass. In our analysis we pay special attention to the theoretical uncertainties in the predictions due to this mass scale variation. We also present quantitative predictions for the H q moments at high energies. Our results reproduce the moment oscillations observed in experimental data, and are consistent with the behavior predicted by QCD.

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Nucleon and delta sigma-terms

Cited by 9 publications

References 4 publications

Quark mass dependence of baryon properties

Quark mass dependence of baryon properties

Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC

Cross sections, multiplicity and moment distributions at the LHC

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