USPAS spring 2023
Contents
Hadron Beam Cooling in Particle Accelerators
Class meet time and dates  Instructors 



Course Overview
This graduate level course focuses on the fundamental physics and explored in depth advanced concepts of modern particle accelerators and theoretical concept related to them. he purpose of this course is to introduce students to methods of hadron beam cooling to reduce the phasespace area of beams in charged particle circular accelerators. Beam cooling enables higher beam brightness and enhanced performance in many accelerator applications. The course is designed for graduate students pursuing accelerator physics as a career, or scientists or engineers having an interest in this topic in accelerator science
Course Content
The course will start with a description of Hamiltonian and nonHamiltonian processes in particle accelerators. Examples of beam invariants, cooling decrements and diffusion processes will be discussed. Four cooling methods  classical electron cooling, stochastic and optical stochastic cooling, and coherent electron cooling  and their applications will be presented in detail.
Lectures
 Monday, Lecture 1, Introduction, Hamiltonian method for accelerators.., by Prof. Litvinenko
 Monday, Lecture 2, Parametrization of particles motion, Action and phase variables.., by Prof. Litvinenko
 Monday, Lecture 3, Damping and Diffusion coefficients, FokkerPlank equations, distribution functions..., by Prof. Litvinenko
 Tuesday, Lectures 13, Electrron Cooling, by Prof. Jing
 Wednesday, Lecture 1, Stochastic Cooling: Introduction, by Prof. Petrushina
 Wednesday, Lecture 2, Stochastic Cooling: Details and Experimental realization, by Prof. Petrushina
 Wednesday, Lecture 3, Stochastic Cooling: Optical Stochastic Cooling, by Prof. Petrushina
 Thursday, Lecture 13, Coherent electron Cooling, by Dr. Ma
 Friday, 911 am, Final Exam Problems
 Final Exam, Problem 1 solution
 Final Exam, Problem 2 solution
 Final Exam, Problem 3 solution
 Final Exam, Problem 4 solution
Homeworks
 Monday Homeworks, Due  Tuesday, January 31, 9:00 AM
 Monday Homeworks solutions
 Tuesday Homeworks, Due  Wednesday, February 1, 9:00 AM
 Tuesday Homeworks solutions
 Wednesday Homework, Due  Thursday, February 2, 9:00 AM
 Wednesday Homework solutions