Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case

Fettes, Nadia; Meißner, Ulf‐G.; Steininger, Sven

doi:10.1016/s0375-9474(98)00452-7

Cited by 385 publications

(682 citation statements)

References 48 publications

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“…To reduce the number of free parameters, we fixed f π and g A to their experimental values and c 2 = 3.2 GeV −1 , in accordance with the analysis of the πN scattering in [43]. The result of our fit is shown in Fig.…”

Section: Chiral Effective Parameters In the Iilmmentioning

confidence: 99%

Exploring the chiral regime of QCD in the interacting instanton liquid model

et al. 2007

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The Interacting Instanton Liquid Model is used to explore the role of instanton induced dynamics in hadron structure. To support the validity of this model in the chiral regime, the quark mass dependencies of several properties are shown to agree with chiral perturbation theory, including the density of eigenmodes of the Dirac operator and the masses of the pion and nucleon. A quark mass m * = 80 MeV emerging naturally from the model is shown to specify the mass scale above which the fermion determinant is suppressed, the zero modes become subdominant, and the density of quasi-zero modes become independent of the quark mass.

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Section: Chiral Effective Parameters In the Iilmmentioning

confidence: 99%

Exploring the chiral regime of QCD in the interacting instanton liquid model

et al. 2007

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“…c 1 denotes a dimension two coupling in the chiral Lagrangian sensitive to the internal structure of the nucleon in close connection to the pion-nucleon sigma term. Most determinations agree about its sign but are uncertain about its precise value (related to the still unsatisfactory situation in the extraction of the pion-nucleon sigma term based on various partial waves analyses of elastic πN scattering data): [31,32,33,34,35,36,37]. Choosing the central value for c 1 and fixing M 0 = 0.88 GeV to reproduce the physical mass of the nucleon for m π = 0.138 GeV one therefore obtains the mass of the nucleon as a function of the mass of the pion as shown in Fig.…”

Section: Third Order Calculation Of the Nucleon Mass In Dimensional Rmentioning

confidence: 99%

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

2004

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We discuss the use of cutoff methods in chiral perturbation theory. We develop a cutoff scheme based on the operator structure of the effective field theory that allows to suppress high momentum contributions in Goldstone boson loop integrals and by construction is free of the problems traditional cutoff schemes have with gauge invariance or chiral symmetries. As an example, we discuss the chiral expansion of the nucleon mass. Contrary to other claims in the literature we show that the mass of a nucleon in heavy baryon chiral perturbation theory has a well behaved chiral expansion up to effective Goldstone boson masses of 400 MeV when one utilizes standard dimensional regularization techniques. With the help of the here developed cutoff scheme we can demonstrate a well-behaved chiral expansion for the nucleon mass up to 600 MeV of effective Goldstone Boson masses. We also discuss in detail the prize, in numbers of additional short distance operators involved, that has to be paid for this extended range of applicability of chiral perturbation theory with cutoff regularization, which is usually not paid attention to. We also compare the fourth order result for the chiral expansion of the nucleon mass with lattice results and draw some conclusions about chiral extrapolations based on such type of representation.

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“…[27]; furthermore, use of a new pion-nucleon phase-shift analysis [28], instead of the standard one [29] would make σ πN to rocket to a value larger than 200 MeV [30].…”

Section: Neutralino-nucleus Elastic Cross-sectionmentioning

confidence: 99%

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

Bottino

Donato

Fornengo

et al. 2000

Astroparticle Physics

172

179

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We discuss the effect induced on the neutralino-nucleon cross-section by the present uncertainties in the values of the quark masses and of the quark scalar densities in the nucleon. We examine the implications of this aspect on the determination of the neutralino cosmological properties, as derived from measurements of WIMP direct detection. We show that, within current theoretical uncertainties, the DAMA annual modulation data are compatible with a neutralino as a major dark matter component, to an extent which is even larger than the one previously derived. We also comment on implications of the mentioned uncertainties for experiments of indirect dark matter detection. *

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Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case

Cited by 385 publications

References 48 publications

Exploring the chiral regime of QCD in the interacting instanton liquid model

Exploring the chiral regime of QCD in the interacting instanton liquid model

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

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