Amplitude Analysis 101 / PWA101 (v2.0)

CAS-assisted Amplitude Models building for photoproduction reaction

This document is a follow-up of PWA101 (v1.0) (temporarily see here), as an introduction to Amplitude Analysis / Partial Wave Analysis (PWA) by demonstrating its application to a specific reaction channel and amplitude model.

Now the focus is the use of symbolic expressions (computations), with the use of ComPWA packages, or CAS(Computer Algebra System)-assisted model building in general (the python package SymPy in this case) to illustrate the general process in PWA.

This tutorial aims to equip readers with deeper understanding of PWA methodologies and full workflow in the context of hadron physics through a practical, hands-on example with symbolic expressions via ComPWA.

Furthermore, address to the issue ✅ ComPWA/gluex-nstar#1, this document is PWA101(v2.0), which shows PWA methodologies and full workflow in the context of hadron physics with symbolic expressions via ComPWA.

Table of contents:

• Reaction and Models
  • Reaction with Resonances and Decay
  • Amplitude Models
• Virtual particle that represents the state pγ
  • Finding particles
    • Proton
    • \(\gamma\)
    • \(\eta\)
    • \(\pi^0\)
• Adding custom particle