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Dalitz Plots and Hadron Spectroscopy

2005/07/05 by Adrian Wuethrich, Wuethrich, Adrian
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0507058

Master Thesis; 87 pages, 28 figures, 2 tables

arxiv created 2005/07/05 · arxiv updated 2009/12/01

Abstract

In this master thesis I discuss how the weak three-body decay B+ --> pi- pi+ K+ is related to the strong interactions between the final-state particles. Current issues in hadron spectroscopy define a region of interest in a Dalitz plot of this decay. This region is roughly characterized by energies from 0 to 1.6 GeV of the pi- pi+ and the pi- K+ system, and energies from 3 to 5 GeV of the pi+ K+ system. Therefore I propose to use for the former two systems elastic unitarity (Watson's theorem) as an approximate ansatz, and a non-vanishing forward-peaked amplitude for the latter system. I introduce most basic concepts in detail with the intention that this be of use to non-experts interested in this topic.

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