Dalitz Plots and Hadron Spectroscopy

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.

Master Thesis; 87 pages, 28 figures, 2 tables

References in corpus (7)

• Proton-Antiproton Annihilation and Meson Spectroscopy with the Crystal Barrel
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• Dalitz Analysis of the Decay $D^0\to K^{-}{\pi }^{+}{\pi }^0$
• Study of three-body charmless B decays
• Dalitz plot analysis of D_s+ and D+ decay to pi+pi-pi+ using the K-matrix formalism
• Glueballs, Hybrids, Pentaquarks : Introduction to Hadron Spectroscopy and Review of Selected Topics
• The production model of Ishida et al. and unitarity

Cited by in corpus (1)

• Three-Body Baryonic ${\bar{B}}^0\to {\Lambda }_c^{+}\bar{p}{\pi }^0$ Decay