Consistency tests of the low-energy K−p parametrizations

Martin, A. D.; Queen, N.M.; Violini, G.

doi:10.1016/0550-3213(69)90035-2

Cited by 22 publications

(7 citation statements)

References 36 publications

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“…In addition, one needs a good scattering amplitude to be implemented in this equation. The study of strangeness −1 meson-baryon scattering has a long history [5,6,7,8,9,10,11,12] within K-matrix models, dispersion relations, meson-exchange models, quark models, cloudy bag-models or large N c QCD, just to quote a few. However, in more recent years it has received a lot of attention from the application of SU(3) baryon Chiral Perturbation Theory (CHPT) to this sector together with a unitarization procedure, see e.g., [13,14,15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Aspects of strangeness -1 meson-baryon scattering

2007

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Section: Introductionmentioning

confidence: 99%

Aspects of strangeness -1 meson-baryon scattering

2007

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“…However, we consider the dispersion integral as a consistency check of our theory rather than as a predictive tool to derive the low-energy kaon-nucleon scattering amplitudes in terms of the more accurate scattering data at E lab > 300 MeV [123]. This way we avoid any subtle assumptions on the number of required subtractions in the dispersion integral.…”

Section: Analyticity and Crossing Symmetrymentioning

confidence: 99%

Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering

Lutz¹,

2002

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The relativistic chiral SU (3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant coupled-channel BetheSalpeter equation with the interaction kernel truncated at chiral order Q 3 where we include only those terms which are leading in the large N c limit of QCD. The baryon decuplet states are an important explicit ingredient in our scheme, because together with the baryon octet states they form the large N c baryon ground states of QCD. Part of our technical developments is a minimal chiral subtraction scheme within dimensional regularization, which leads to a manifest realization of the covariant chiral counting rules. All SU(3) symmetry-breaking effects are well controlled by the combined chiral and large N c expansion, but still found to play a crucial role in understanding the empirical data. We achieve an excellent description of the data set typically up to laboratory momenta of p lab ≃ 500 MeV.

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“…In addition, one needs a good scattering amplitude to be implemented in this equation. The study of strangeness −1 has a long history [5,6,7,8,9,10,11,12] within K-matrix models, dispersion relations, meson-exchange models, quark models, cloudy bag-models or large N c QCD, just to quote a few. However, in more recent years it has received a lot of attention from the application of SU(3) baryon Chiral Perturbation Theory (CHPT) to this sector together with a unitarization procedure, see e.g., [13,14,15,16,17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

On the strangeness -1 S-wave meson-baryon scattering

2006

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We consider meson-baryon interactions in S-wave with strangeness −1. This is a nonperturbative sector populated by plenty of resonances interacting in several two-body coupled channels. We study this sector combining a large set of experimental data. The recent experiments are remarkably accurate demanding a sound theoretical description to account for all the data. We employ unitary chiral perturbation theory up to and including O(p 2 ) to accomplish this aim. The spectroscopy of our solutions is studied within this approach, discussing the rise from the pole content of the two Λ(1405) resonances and

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Consistency tests of the low-energy K−p parametrizations

Cited by 22 publications

References 36 publications

Aspects of strangeness -1 meson-baryon scattering

Aspects of strangeness -1 meson-baryon scattering

Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering

On the strangeness -1 S-wave meson-baryon scattering

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