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2024 Faculty Courses School of Science Department of Physics Graduate major in Physics

Hadron Physics

Academic unit or major
Graduate major in Physics
Instructor(s)
Daisuke Jido
Class Format
Lecture (Face-to-face)
Media-enhanced courses
-
Day of week/Period
(Classrooms)
3-4 Mon / 3-4 Thu
Class
-
Course Code
PHY.F430
Number of credits
200
Course offered
2024
Offered quarter
1Q
Syllabus updated
Mar 14, 2025
Language
English

Syllabus

Course overview and goals

The minimum elements of matter which can be observed are hadrons and leptons. Hadrons are particles interacting with strong forces, such as proton and pion, and are composed of quarks and gluons. Owing to the color confinement phenomenon, quarks and gluons are confined in the hadrons and are never observed directly. Most of the visible mass in our universe is due to the hadron mass. In the lecture, properties of hadrons are explained in both theoretical and experimental points of view. In the descriptions of the hadron structure and dynamics, symmetries play important roles. Basics of quantum chromodynamics (QCD), which is the fundamental theory of the dynamics of quarks and gluons, are also explained. The nature of the coupling constant of the strong interaction, that is called as asymptotic freedom, is the outstanding feature of QCD, and the spontaneous breaking of chiral symmetry is responsible for the mass generation of quarks. Effective models based on chiral symmetry for hadron physics are also introduced.

The purpose of the course is to let the students understand hadrons which constitute the present universe, and to understand quarks, gluons, and QCD which is the theory of strong interaction. Another purpose is to let the students know theoretical tools to study hadron physics.

Course description and aims

[Objectives] Students will understand the basics of hadron physics by taking this course. Students will understand the features of strong interaction, the description of hadrons based on quarks, and features of quantum chromodynamics.

[Topics] Strong interaction, symmetries in hadron physics, properties of hadron, quark model, quark flavors, quark generations, color charge, gluons, asymptotic freedom, elastic scattering and deep inelastic scattering, chiral effective theories, chiral symmetry, current algebra, hadron mass generation, etc.

Keywords

strong interaction, quark model, flavor symmetry, chiral symmetry, baryons, mesons, color charge, gluons, quantum chromodynamics, asymptotic freedom, origin of mass, dynamical breaking of chiral symmetry, chiral effective theories.

Competencies

  • Specialist skills
  • Intercultural skills
  • Communication skills
  • Critical thinking skills
  • Practical and/or problem-solving skills

Class flow

The lecture is given using the blackboard with prints summarizing each topic.
Practical problems are given and students are required to solve them.

Course schedule/Objectives

Course schedule Objectives
Class 1

Hadrons and strong interaction

Explain what hadrons are.

Class 2

Hadron spectroscopy

learn how to describe short-living particles

Class 3

Relativistic quantum mechanics

To be able to describe spin 1/2 fermion in relativistic form

Class 4

Symmetries in hadron physics

Explain the breaking patterns of symmetries in hadron physics.

Class 5

Flavors of quarks, classification of baryons and mesons

Explain the compositions of baryons and mesons based on flavor symmetry.

Class 6

Quark model

Construct the proton wavefunction based on the quark model.

Class 7

Structure of nucleon

To be able to explain and the form factors and the meaning of Bjorken scaling.

Class 8

Basics of Quantum Chromodynamics

To be able to understand the meaning of asymptotic freedom.

Class 9

Symmetry and conservation law

Drive the Noether current from a Lagangian.

Class 10

Current algebra and PCAC

Explain what PCAC is.

Class 11

Chiral Symmetry

Derive the Gell-Mann Oakes Renner relation.

Class 12

Linear sigma model

Demonstrate the spontaneous chiral symmetry breaking in a hadron theory

Class 13

Fermion mass generation

Explain the mechanism of quark mass generation.

Class 14

Nambu-Goldstone theorem in QCD

Explain the basic ideas of chiral perturbation theory.

Study advice (preparation and review)

To enhance the effectiveness of learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class by referring to textbooks and other course material.

Textbook(s)

not specified

Reference books, course materials, etc.

'Particles and Nuclei', B. Povh et al., Springer,
'Elementary Particle Physics, volume 1 and 2', Y. Nagashima, WILEY-VCH,
'Quarks, Baryons and Chiral Symmetry', A. Hosaka and H. Toki, World Scientific,
'Gauge Field Theories, an introduction with applications', Mike Guidry, WILEY-VCH

Evaluation methods and criteria

Quizzes and problems given during the classes. The quizzes are given in the response sheet distributed in the end of each class. The problems are written in handouts distributed at each class.

Related courses

  • PHY.F350 : Nuclear Physics
  • PHY.F437 : Advanced Nuclear Physics
  • PHY.F351 : Elementary Particles
  • PHY.F436 : Advanced Particle Physics
  • PHY.Q331 : Relativistic Quantum Mechanics

Prerequisites

It is required that the students have enough knowledge on quantum physics.

Other

The lecture will be given in English.