Skyrmions — A Theory of Nuclei surveys 60 years of research into the brilliant and imaginative idea of Tony Skyrme that atomic nuclei can be modelled as topologically stable states, known as Skyrmions, in an effective quantum field theory of pions. Skyrme theory emerges as a low-energy approximation to the more fundamental theory of quarks and gluons — quantum chromodynamics (QCD). Skyrmions give spatial structure to the protons and neutrons inside nuclei, and capture the interactions of these basic particles, allowing them to partially merge. Skyrme theory also gives a topological explanation for the conservation of baryon number, a fundamental principle of physics.The book summarises the particle and field theory background, then presents Skyrme field theory together with the mathematics needed to understand it. Many beautiful and surprisingly symmetric Skyrmions are described and illustrated in colour. Quantized Skyrmion motion models the momentum, energy and spin of nuclei, and also their isospin, the quantum number distinguishing protons and neutrons. Skyrmion vibrations also need to be quantized, and the book reviews how the complicated energy spectra of several nuclei, including Carbon-12 and Oxygen-16, are accurately modelled by rotational/vibrational states of Skyrmions. A later chapter explores variants of Skyrme theory, incorporating mesons heavier than pions, and extending the basic theory to include particles like kaons that contain strange quarks. The final chapter introduces the Sakai – Sugimoto model, which relates Skyrmions to gauge theory instantons in a higher-dimensional framework inspired by string theory.Key FeaturesThe first monograph on Skyrme’s topological soliton theory of atomic nuclei since H Weigel’s book of 2008Many larger Skyrmions described and illustrated in colour for the first time in a dedicated monographMathematical tools for constructing Skyrmions are better developed in the Skyrmions chapter of "Topological Solitons"The first systematic review of numerous research papers; important examples discussed are the alpha-particle and Oxygen-16Includes an introduction to a number of attractive variants of Skyrme theory, including the Sakai–Sugimoto model of holographic baryons, related to gauge theory instantonsFeatures some research contributions to the physics of Skyrmions and other solitons by E Witten, G ’t Hooft and the late Sir Michael Atiyah

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