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Skyrmions - A Theory Of Nuclei (Hardcover)
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Skyrmions - A Theory Of Nuclei (Hardcover)
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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 Skyrmions, topologically stable states 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.
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