This book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory. The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools. Given its scope, the book offers a valuable guide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.

This book introduces the phenomenology and theory of hadron form factors in a consistent manner, deriving step-by-step the key equations, defining the form factors from the matrix elements of hadronic transitions and deriving their symmetry relations. Explained are several general concepts of particle theory and phenomenology exemplified by hadron form factors. The main emphasis here is on learning the analytical methods in particle phenomenology. Many examples of hadronic processes involving form factors are considered, from the pion electromagnetic scattering to heavy B-meson decays. In the second part of the book, modern techniques of the form factor calculation, based on the method of sum rules in the theory of strong interactions, quantum chromodynamics, are introduced in an accessible manner. This book will be a useful guide for graduate students and early-career researchers working in the field of particle phenomenology and experiments. Features: • The first book to address the phenomenology of hadron form factors at a pedagogical level in one coherent volume • Contains up-to-date descriptions of the most important form factors of the electroweak transitions investigated in particle physics experiments

physics

This book contains a collection of lecture notes written by recognized experts in the field of Active Galactic Nuclei (AGN). The collection is aimed at providing both an introduction and at the same time an overview of the state-of-the-art of AGN research. This book also addresses the still not entirely understood link of an AGN with its host galaxy and also the related question of the birth and growth of massive black holes in the Universe.

This is the second volume in a series of lecture notes based on the highly s- cessful Euro Summer School on Exotic Beams that has been running yearly since 1993 (apart from 1999) and is planned to continue to do so. It is the aim of the School and these lecture notes to provide an introduction to - dioactive ion beam (RIB) physics at the level of graduate students and young postdocs starting out in the ?eld. Each volume will contain lectures covering a range of topics from nuclear theory to experiment to applications. Our understanding of atomic nuclei has undergone a major re-orientation over the past two decades and seen the emergence of an exciting ?eld of research: the study of exotic nuclei. The availability of energetic beams of short-lived nuclei, referred to as radioactive ion beams (RIBs), has opened the way to the study of the structure and dynamics of thousands of nuclear species never before observed in the laboratory. In its 2004 report “Persp- tives for Nuclear Physics Research in Europe in the Coming Decade and - yond”, the Nuclear Physics European Collaboration Committee (NuPECC) statesthatthe?eldofRIBphysicsisoneofthemostimportantdirectionsfor the future science programme in Europe. In 2005 it published its “Roadmap for Construction of Nuclear Physics Research Infrastructures in Europe”.

A survey of recent research in the fields of condensed matter physics and chemistry based on novel NMR and ESR techniques. Applications include quantum computing, metal nanoparticles, low dimensional magnets, fullerenes as atomic cages, superconductors, porous media, and laser assisted studies. The book is dedicated to Professor Robert Blinc, on the occasion of his seventieth birthday, in appreciation of his remarkable scientific accomplishments in the NMR of condensed matter.