Table of Contents
The 2017 lectures are based from the book:
``Strong Interactions of Hadrons at High Energies" by V. Gribov, Cambridge University Press, 2009.
Click on the team number to access the material (videos, notes, exercices).
- 2017 Lectures
- Team 1: Chapters 1-2
Lecturers: A. Pilloni and A. Szczepaniak
Abstract: I discuss the generic principles of reaction theory, and the symmetries of strong interactions. I introduce the relativistic definition of states as irreducible representations of the Poincare’ group. Then, I introduce the Scattering Matrix, which encodes all the informations about dynamics. Using the fundamental properties of any underlying QFT, we can prove that the S-matrix satisfies crossing symmetry, unitarity and analyticity.
- Team 2: Chapters 3-4
Lecturers: A. Jackura and M. Vanderhaeghen
Abstract: In these lectures I will discuss partial wave expansions and consequences of unitarity. We will look at 2 -to -2 scattering of spinless particles, and particles with spin. We will discuss the differences in Helicity partial wave expansion and Spin-Orbit partial wave expansion. We then apply the S-matrix unitarity condition to these amplitudes and investigate their structure in the complex energy plane. Finally, we discuss some useful parameterizations of amplitudes which can be used to extract resonance information from data.
- Team 3: Chapters 5-6
Lecturers: M. Mikhasenko, M. Shepherd and E. Passemar
Abstract: In the first lecture, I discuss a problem of the three particles final state. We start considering general kinematics of the decay process. Then, I introduce a customary representation of the reaction dynamics by the Dalitz plot. In the following tutorial, I post a problem to reproduce realistic Dalitz plots measured by CLEO and BaBar experiments. The second lecture is dedicated to the dispersion technique. I derive a dispersive representation of the real analytic function. As an application, we discuss the Omnes problem for the inelastic unitarity equation. In the third lecture, we focus on the physics of the partial waves at high energy. I introduce the impact parameter representation and illustrate the black disc model of particles scattering.
- Team 4: Chapters 7-8
Lecturers: V. Mathieu, J. Pelaez, C. Weiss and A. Szczepaniak
Abstract: These lectures introduce the concept of Regge poles.
We introduce the Sommerfeld-Watson transformation and the Froissard-Gribov representation of partial waves.
During practicum 1, we prove, using unitarity, the factorization of residues. Practicum 2 reviews the Mathematica notebook. During practicum 3, we derive the $t$-channel quantum numbers of reactions. We also illustrate the concept of exchange degeneracy between Regge exchange on the total cross section.
- Final quiz: questions video (with answers)
- Team 1: Chapters 1-2
- 2017 Seminars
- "Light Hadrons Physics at $e^+e^-$ Colliders" by A. Kupsc
- "Amplitude analysis at BESIII" by J. Bennett
- "LHCb Physics" by T. Skwarnicki
- "Electromagnetic structure of hadrons" by M. Vanderhaeghen
- "Scattering from lattice QCD: formalism and results" by R. Briceno
- "Hadron-nucleus interactions at very high energies: black disc limit" by V. Guzey
- "Dispersive analysis of meson decays" by E. Passemar
- "Dispersive analysis of pion-pion and pion-kaon interactions: Resonance poles and Regge behavior" by J. Pelaez
- "Dispersion theory in hadron form factors" by C. Weiss
- "Application of Regge Theory" by A. Blin and J. Nys
- "Exploring Charmonium at the BESIII Experiment" by R. Mitchell
- "Interaction of high- energy hadrons with nuclei and nuclear shadowing" by V. Guzey
- 2015 Seminars
- Introductory Overview by M. Pennington
- Current Experiments by M. Shepherd
- Review of Scattering Theory by J. Rosner
- Dalitz and VanHove Plots by T. Londergan and V. Mathieu
- AmpTools by M. Shepherd
- Principles of the S-Mathrix by M. Doring, C. Fernandez-Ramirez and I. Danilkin
- Dispersion Relations: Light Quark Masses from Eta Meson Decay in Pions by E. Passemar
- Quark Models by E. Santopinto
- Veneziano Models by A. Szczepaniak
- Computing QCD on a Lattice by J. Dudek
- Two Photon Production of Mesons by M. Pennington
- Birth of Hadron Duality by D. Horn
- Duality in hadron dynamics by P. Hoyer
- Bound states in Field Theory by P. Hoyer
- Measuring Transverse Size with Virtual Photons by P. Hoyer
- Applying Regge Theory by P. Landshoff
- Neutral Pion Photoproduction by V. Mathieu
- Unitarity in 2 and 3 Body Final States by I. Aitchison
- Production Dynamics of Axial Vector Meson in the 1 to 2 GeV Mass Range by E. Berger
- The Past and the Future by G. Fox
- Scattering Theory and Light-Front Quantization by S. Brodsky
- The LHC Inverse Problem by G. Kane