NUCLEAR AND SUBNUCLEAR PHYSICS WITH EXERCISES

Degree course: 
Corso di First cycle degree in Physics
Academic year when starting the degree: 
2022/2023
Year: 
3
Academic year in which the course will be held: 
2024/2025
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
Second semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

Quantum physics with exercise classes (Module 1)
Electromagnetism (Modules 1 and 2)

Final Examination: 
Orale

The course examination takes the form of a single final written test, without the use of notes or textbooks, lasting three hours. Various problems in classical, quantum and relativistic mechanics, nuclear interactions and structure are proposed, with the aim of verifying the student's ability to address and solve problems in nuclear and sub-nuclear physics, using the techniques illustrated and exemplified during the course.
To ascertain their expositional capabilities in nuclear and sub-nuclear physics, the students are required to write two one-page essays on topics related to the course chosen from a broad list of six possibilities. In addition, a series of problems divided into two main categories (kinematics/scattering and symmetry/quantum numbers) are proposed with six possible exercises in each.
To pass the exam with a minimum mark, the students are required to answer correctly at least one from each section. A total of five substantially correct answers plus two comprehensive essays will obtain 30/30, the laude is reserved for six or more fully correct replies.

Assessment: 
Voto Finale

Formative Aims

The aim of the course is to provide students with the basic notions of nuclear structure and nuclear and sub-nuclear interactions together with the theoretical and experimental techniques required for their study. Everything is presented within the framework of modern physics with the application of quantum mechanics and the use of relativistic mechanics. The basic physics of nuclear-energy production and the functioning of the Sun are also presented.

Expected Learning Outcomes

At the end of the course, the student will be able to:
1. Understand and describe the detailed structure of the nucleus in terms of the various existing models.
2. Calculate and analyse simple cross-sections in nuclear and subnuclear physics.
3. Understand and describe the various aspects of experimental nuclear and subnuclear physics; i.e. the construction and operation of the various types of detectors and accelerators.
4. Understand and describe the basis of the current standard model of the fundamental interactions.

• Introduction – Fundamentals of Quantum Mechanics and Relativity:
› Wave–particle duality and the uncertainty principle; 
› Lorentz transformations;
› Four-dimensional covariant space–time formulation.
› Revision of classical electromagnetism.

• The Nuclear Structure and Processes:
› Nuclear characteristics;
› Binding energy and stability;
› Nuclear models – liquid drop, shell, Fermi gas;
› Alpha, gamma and beta decay;
› Natural radioactive decay chains;
› The Deuteron and low-energy nucleon–nucleon diffusion;
› Fission, fusion and the principles of the nuclear reactor.

• The Interaction of Radiation with Matter:
› Introduction to the forms of radiation;
› Concept and definition of cross-section;
› Rutherford's scattering experiment;
› Fermi's golden rule.
› Interactions of photons with matter;
› The propagation of neutrons in matter;
› Cosmic rays and their interaction with the atmosphere.

• Radiation and Particle Detectors:
› The classification of detectors;
› General features – spectra, resolution, statistics;
› Gas detectors;
› Semiconductor detectors;
› Scintillators;
› CCD.

• Particle Accelerators:
› The classification of accelerators;
› Linear accelerators;
› Betatron, cyclotron, synchrotron.

• The Standard Model of Elementary Particle Physics:
› The classification of elementary particles;
› The electroweak interaction;
 › The strong nuclear interaction;
› Grand unification and beyond.

The course opens with a brief review of the fundamentals of quantum mechanics and special relativity. The topics covered are: wave–particle duality and the Heisenberg uncertainty principle in quantum mechanics; the Lorentz transformations and the covariant four-dimensional formulation of special relativity.

The first main topic of the course is nuclear structure and processes. We begin by examining the known general characteristics of nuclei, such as density, binding energy and stability, as functions of the atomic mass and atomic number. The information obtained is then interpreted and used for the reconstruction of the various nuclear models: liquid drop, Fermi gas and shell, discussing in some detail the nature and role of the spin−orbit interaction. Having acquired some understanding of nuclear structure, we then turn our attention to beta-decay and the question of parity violation in the weak interaction.

The following chapter explores the interaction between radiation and matter. We start with an introduction to the various forms of radiation. We then move on to the concept and definition of cross-section and Rutherford's scattering experiment. The quantum version, using Fermi's golden rule, is re-examined, with the aim of describing correctly the interactions of various particle and radiation types with matter; the propagation of neutrons in matter; and cosmic rays and their interaction with the atmosphere.

The next topics concern the more specifically experimental aspects of nuclear and particle physics: particle and radiation detectors and particle accelerators. We open with a general classification of detectors and their general features: spectra, resolution and statistics. We then examine in detail the various types of detectors in use today or until recently: bubble chambers, gas detectors, scintillators, semiconductor detectors and CCDs. Accelerator physics is then discussed starting with the general classification of accelerators and then continuing with detailed descriptions of the various types: from linear accelerators to the betatron, cyclotron, synchrotron and ring accumulators.

The knowledge acquired of nuclear structure is then utilised to approach the various forms of nuclear decay: alpha-, gamma- and beta-decay; natural radioactive decay chains; and finally fission, fusion and the basic principles of nuclear reactors and energy generation (through both fission and fusion) and the internal functioning of the Sun and other stars.

The course closes with a rapid overview of the Standard Model of elementary particle physics: the classification of elementary particles themselves; the electroweak interaction; the strong nuclear interaction; grand unification and beyond.

During the course, in each chapter, exercises are proposed to the students to be solved outside the classroom. Specific examples classes are held at suitable intervals to cover the problems already distributed and to present new exercises in preparation for the final examination.

Conventional blackboard lectures, including exercise classes in the classroom, for a total of 64 hours.
The course notes are available online on the e-Learning platform.

Office reception hours:
by appointment (contact philip.ratcliffe@uninsubria.it)