Meson Properties in the Quark Model: A Look at Some Outstanding Problems

TL;DR

This thesis investigates key issues in the quark model related to meson decay mechanisms, meson state identification, and final state interactions, providing insights into meson properties and interactions.

Contribution

It offers new analysis on meson decay models, meson state identification, and the role of final state interactions in meson reactions.

Findings

Identification of the $f_4(2220)$ state clarified.

Determined the mixing angle between $K_1(1270)$ and $K_1(1400)$.

Analyzed FSI effects in $oldsymbol{\gamma ightarrow ext{mesons}}$ reactions.

Abstract

This thesis examines three problems of the quark model, split between two general areas. The general areas are: 1) models of meson decay ($^3P_0$ and flux-tube breaking), 2) final state interactions (FSI's). The three specific problems are: 1) identification of the $f_4(2220)$ state, 2) determination of the mixing angle between the $K_1(1270)$ and $K_1(1400)$ mesons, 3) examination of FSI's in the reaction $\gamma \gamma \rightarrow \pi \pi$ near threshold. A more complete abstract is included in the thesis.