On a new unitarization scheme inspired by Dalitz and Tuan applied to meson-meson and meson-baryon scattering
نویسنده
چکیده
A new crossing symmetric unitarization scheme conveniently applied to meson-meson and meson-baryon scattering amplitudes is shortly proposed which can be not only used by theoreticians to unitarize arbitrary theoretical reaction amplitudes resulting from phenomenological Lagrangeans for mesons and baryons, yet also by experimentalists to generate realistic unitary fitting formulae for meson-meson and meson-baryon scattering observables sharing on one hand all the features of the underlying theoretical amplitudes, on the other hand allowing direct comparison to these amplitudes. The new unitarization scheme has been inspired by the Dalitz and Tuan (DT) representation [1], the basic ansatz of which is that “... the phases caused by different sources add ...” (using the words of B.S. Zou, D.V. Bugg, Phys. Rev. D 50 (1994) 591 [2]).
منابع مشابه
Meson B fragmentation function with consideration of mass corrections
Study of B meson (meson with the bottom quark flavor) in Large Hadron Collider (LHC) is of special importance so that the detector LHCb is devoted to investigate these types of mesons. For this reason, in this paper we will study the production process of this meson in a phenomenological approach using the experimental data from electron-positron annihilation. In this regards, we shall calculat...
متن کاملChiral unitary meson–baryon dynamics in the presence of resonances: Elastic pion–nucleon scattering
We develop a novel approach to chiral meson–baryon dynamics incorporating unitarity constraints and explicit resonance fields. It is based on the most general structure of any pion-nucleon partial wave amplitude neglecting the unphysical cuts as derived from theN/D method. This amplitude is then matched to the one–loop heavy baryon chiral perturbation theory result at third order and to tree le...
متن کاملUn " tary Symmetry in Strong Interaction . II - - Excited States of Baryons
The purpose of this note is to investigate problems of baryon isobars from the viewpoint of the unitary symmetry model_ll In this model, the mass differences among mesons and among baryons are neglected. As the result, one may wonder if such a model can be applicable to the study of the baryon isobars which appear in the meson-baryon scattering, where these mass differences are certainly not ne...
متن کاملDispersive chiral approach to Meson-meson dynamics: Spectroscopy results for light scalars and precision studies
Dispersive approaches provide model independent description of meson-meson scattering. We first review here the use of dispersion relations to obtain a model independent unitarization of Chiral Perturbation Theory amplitudes, that establish the existence of light scalar mesons and whose leading 1/Nc behavior suggest they ahve a non q̄q dominant component. We also review the forward dispersion re...
متن کاملDecuplet contribution to the meson-baryon scattering lengths
We calculate decuplet contributions to the s-wave pseudoscalar meson octet-baryon scattering lengths to the third order in heavy baryon chiral perturbation theory (HBχPT). Using experimental pion-nucleon and kaon-nucleon scattering lengths as inputs, we determine low-energy constants and predict other meson-baryon scattering lengths. Numerically we consider three cases: (1) the case with only b...
متن کامل