Study of Heavy Mesons using Effective Theories and Potential Model

Abstract

The work presented in the thesis is carried out to investigate recently observed heavy mesons using heavy quark effective theory and phenomenological potential model. Since the momentous discovery of heavy quarks, namely the charm (c) and bottom (b) quarks, there has been a notable and focused interest in investigating the properties of heavy hadrons. Different experimental facilities like LHCb, BABAR, BESIII, FOCUS, SLAC, Belle, CDF, etc., have been on a discovery spree for stimulating the spectrum of heavy mesons. Consequently, it becomes essential to employ appropriate theoretical methodologies in order to attain a profound comprehension of these mesons. Several theoretical models, such as the Heavy Quark Effective Theory (HQET), potential models, lattice Quantum Chromodynamics (QCD), and QCD sum rules, are present in the literature for the in-depth exploration of these heavy mesons. In the past few years, HQET has emerged out as a successful model for studying the properties of heavy-light mesons. In this thesis, we intend to study the basic properties like masses, strong decays, branching ratios, and splittings for the newly observed heavy-light mesons in both the charm and bottom sectors. By this study, we will be able to fill the charm and bottom spectra up to F-wave and P-wave mesons for radial quantum numbers n = 2 and n = 3, respectively. Also, to understand quark-antiquark interactions and their dynamics, we have explored bottomonia in the framework of the phenomenological potential model. This thesis is organized into six chapters, a transient outline of which is given below: Chapter 1 gives a brief discussion of theoretical and experimental aspects related to the study of bound states of quarks, which interact through the exchange of gluons. Here, we have categorized bound state hadrons into two primary groups: Baryons, which are composed of qqq structure, and mesons, having qq¯ configuration. The primary focus of this thesis is on the investigation of mesons, particularly heavy mesons