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Register a new userLow energy pion-$Lambda_b$ interaction
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Celso de Camargo Barros Jr.
Publication date
2020
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English
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In this work we study the low energy pion-$Lambda_b$ interaction considering effecective chiral Lagrangians that include pions, baryons and the corresponding resonances. Interactions mediated by a $sigma$ meson exchange are also considered. The scattering amplitudes are calculated and then we determine the angular distributions and polarizations.
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In this work we study the low energy kaon-hyperon interaction considering effective chiral Lagrangians that include kaons, $sigma$ mesons, hyperons and the corresponding resonances. We calculate the scattering amplitudes, and then the total cross sections, angular distributions, polarizations and the $S$ and $P$ phase shifts.
In this paper, we study the low energy kaon-hyperon interaction considering effective chiral Lagrangians that include kaons, $sigma$ mesons, hyperons and the corresponding resonances. The scattering amplitudes are calculated and then we determine the angular distributions and polarizations.
We present an extraction of the pion-nucleon ($pi N$) scattering lengths from low-energy $pi N$ scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm the scattering-length determination from pionic atoms, and discuss the stability of the fit results regarding electromagnetic corrections and experimental normalization uncertainties in detail. Our results provide further evidence for a large $pi N$ $sigma$-term, $sigma_{pi N}=58(5)$ MeV, in agreement with, albeit less precise than, the determination from pionic atoms.
We use chiral perturbation theory to evaluate the scattering amplitude for the process Pi^+ K^- to Pi^+ K^- at leading and next-to-leading orders in the chiral counting and in the presence of isospin breaking effects. We also discuss the influence of the latter on the combination of the S-wave Pi K scattering lengths which is relevant for the 2S - 2P energy levels shift of K Pi atoms.
We study unparticle physics effects in (Lambda_b -> Lambda + missing energy) decay with polarized $Lambda_b$ and $Lambda$ baryons. The sensitivity of the branching ratio of this decay and polarizations of (Lambda_b) and (Lambda) baryons on the scale dimension d_U and effective cut-off parameter (Lambda_U) are discussed.
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