Description
Book SynopsisThis book is based on Valery Zagrebaev's original papers and lecture materials on nuclear physics with heavy ions, which he prepared and extended through many years for the students of nuclear physics specialties.
Thе book outlines the main experimental facts on nuclear reactions involving heavy ions at low energies. It focuses on discussions of nuclear physics processes that are a subject of active, modern research and it gives illustrative explanations of these phenomena in the framework of up-to-date theoretical concepts.
This textbook is intended for students in physics who have completed a standard course of quantum mechanics and have basic ideas of nuclear physics processes.
It is designed as a kind of lifeboat that, at the end of the course, will allow students to navigate the modern scientific literature and to understand the goals and objectives of current, on-going research.
Table of Contents1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2. Nuclear interactions and classes of nuclear reaction . . . . . . . . . 122.1. Nucleon-nucleon and nucleon-nucleus interactions, nuclear mean field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122.2. Nucleus-nucleus interaction: folding and phenomenological potentials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.2.1. Folding potentials . . . . . . . . . . . . . . . . . . . . . 172.2.2. Woods-Saxon potential . . . . . . . . . . . . . . . . . . 202.2.3. Proximity potential . . . . . . . . . . . . . . . . . . . . 212.2.4. Bass potential . . . . . . . . . . . . . . . . . . . . . . . 222.2.5. Comparison of diabatic potentials for the nucleus-nucleusinteraction . . . . . . . . . . . . . . . . . . . . . . . . . 232.2.6. Dependence of potential energy on nuclear orientation . 232.2.7. Dependence of potential energy on dynamical deformations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252.3. Classification of nuclear reactions, experimental procedures, cross sections and kinematics . . . . . . . . . . . . . . . 27
3. Elastic scattering of nucleons and heavy ions . . . . . . . . . . . . . 343.1. Scattering in a Coulomb field . . . . . . . . . . . . . . . . . . . 343.2. Elastic scattering of protons and neutrons. Optical model . . . 373.3. Elastic scattering of light ions . . . . . . . . . . . . . . . . . . 433.4. Applicability of classical mechanics and trajectory analyses . . 453.5. Nuclear rainbow and diffraction scattering . . . . . . . . . . . . 493.6. Elastic scattering of heavy ions . . . . . . . . . . . . . . . . . . 56
4. Quasi-elastic scattering of heavy ions and few-nucleon transfer reactions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 584.1. Direct process of light-particle transfer . . . . . . . . . . . . . . 594.2. Distorted-wave description of direct reactions . . . . . . . . . . 614.3. Single-particle states and cluster states, spectroscopic factors . 624.4. Inelastic excitation of vibrational and rotational states . . . . . 654.5. Quasi-elastic scattering of heavy ions . . . . . . . . . . . . . . 684.6. Reactions of few-nucleon transfer . . . . . . . . . . . . . . . . . 74
5. Deep-inelastic scattering of nuclei . . . . . . . . . . . . . . . . . . . 785.1. Experimental systematics of deep-inelastic scattering and quasifission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 795.2. Potential energy of heavy nuclear systems, diabatic and adiabatic driving potentials . . . . . . . . . . . . . . . . . . . . . . 855.2.1. Nucleon transfer and driving potentials . . . . . . . . . 855.2.2. Macro-microscopic model and the adiabatic potential energy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 865.3. Transport equations for deep-inelastic nuclear collisions: Frictional forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915.4. Calculation of deep-inelastic cross sections . . . . . . . . . . . 965.5. Analysis of deep-inelastic scattering and quasi-fission . . . . . . 995.6. Multi-nucleon transfer reactions. Synthesis of heavy neutronrich nuclei . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
6. Fusion of atomic nuclei . . . . . . . . . . . . . . . . . . . . . . . . . 1136.1. Detecting fission fragments and evaporation residues from the compound nucleus . . . . . . . . . . . . . . . . . . . . . . . . . 1146.2. Statistical model for the decay of an excited nucleus . . . . . . 1166.3. Fusion at above-barrier energies . . . . . . . . . . . . . . . . . 1256.4. Sub-barrier fusion. Hill–Wheeler formula . . . . . . . . . . . . 1276.5. Coupled channels. Empirical and quantum description of fusion 1296.6. Barrier distribution function . . . . . . . . . . . . . . . . . . . 1346.7. Neutron transfer in the process of sub-barrier fusion . . . . . . 1356.8. Synthesis of superheavy elements in fusion reactions . . . . . . 1426.9. Radiative capture of light nuclei . . . . . . . . . . . . . . . . . 160
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166
