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added these further pointers:
The construction of Skyrmions from instantons is due to
The relation between skyrmions, instantons, calorons, solitons and monopoles is usefully reviewed and further developed in
Josh Cork, Calorons, symmetry, and the soliton trinity, PhD thesis, University of Leeds 2018 (web)
Josh Cork, Skyrmions from calorons, J. High Energ. Phys. (2018) 2018: 137 (arXiv:1810.04143)
added a bunch of graphics and further references. In particular a little section As models for nuclei with some pointers
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In solid state physics skyrmions in the magnetization of thin atomic layers are known as magnetic skyrmions.
See:
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added more pointers to inclusion of vector mesons into the Skyrmion model:
Original proposal for inclusion of the ω-meson:
Original proposal for inclusion of the ρ-meson:
Review:
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If one assumes confinement, then SU(N)-QCD is equivalent to a theory of mesons (and glueballs) in which the (quartic) meson coupling constant is .
here to stress that QCD is equivalent for any , including , to a meson theory in which is the coupling constant, Large N is special only in that the meson coupling is only moderately weak.
These considerations remove all of the obstacles to interpreting baryons as the solitons of meson physics
There is every evidence that Skyrmions physics with varying couplings reproduces QCD baryons of varying .
added pointers for the full -- model:
U.-G. Meissner, N.Kaiser, W.Weise, Nucleons as skyrme solitons with vector mesons: Electromagnetic and axial properties, Nuclear Physics A Volume 466, Issues 3–4, 11–18 May 1987, Pages 685-723 (doi:10.1016/0375-9474(87)90463-5)
Ulf -G. Meissner, Norbert Kaiser, Andreas Wirzba, Wolfram Weise, Skyrmions with and Mesons as Dynamical Gauge Bosons, Phys. Rev. Lett. 57, 1676 (1986) (doi:10.1103/PhysRevLett.57.1676)
Ju-Hyun Jung, Ulugbek T. Yakhshiev, Hyun-Chul Kim, In-medium modified -- mesonic Lagrangian and properties of nuclear matter, Physics Letters B Volume 723, Issues 4–5, 25 June 2013, Pages 442-447 (arXiv:1212.4616, doi:10.1016/j.physletb.2013.05.042)
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added this original reference on the equivalence between hidden local symmetry- and massive Yang-Mills theory-description:
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Inclusion of heavy flavors into the Skyrme model:
Inclusion of strange quarks/kaons) into the Skyrme model:
Curtis Callan, Igor Klebanov, Bound-state approach to strangeness in the Skyrme model, Nuclear Physics B Volume 262, Issue 2, 16 December 1985, Pages 365-382 (doi10.1016/0550-3213(85)90292-5)
Curtis Callan, K. Hornbostel, Igor Klebanov, Baryon masses in the bound state approach to strangeness in the skyrme model, Physics Letters B Volume 202, Issue 2, 3 March 1988, Pages 269-275 (doi10.1016/0370-2693(88)90022-6)
Review:
Igor Klebanov, section 6 of: Strangeness in the Skyrme model, in: D. Vauthrin, F. Lenz, J. W. Negele, Hadrons and Hadronic Matter, Plenum Press 1989 (doi:10.1007/978-1-4684-1336-6)
Mannque Rho, Section 2.2 of: Cheshire Cat Hadrons, Phys. Rept. 240 (1994) 1-142 (arXiv:hep-ph/9310300, doi:10.1016/0370-1573(94)90002-7
Inclusion of further heavy flavors beyond strange quark/kaons, namely charm quarks/D-mesons and bottom quarks/B-mesons, into the Skyrme model:
Mannque Rho, D. O. Riska, N. N. Scoccola, The energy levels of the heavy flavour baryons in the topological soliton model, Zeitschrift für Physik A Hadrons and Nuclei volume 341, pages343–352 (1992) (doi:10.1007/BF01283544)
Arshad Momen, Joseph Schechter, Anand Subbaraman, Heavy Quark Solitons: Strangeness and Symmetry Breaking, Phys. Rev. D49:5970-5978, 1994 (arXiv:hep-ph/9401209)
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added these two references, discussing Skyrmions in differential geometry:
and in algebraic topology:
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The topic of this paper has a history of mistakes and sign errors in the literature. For both these reasons, we present our calculation in painstaking detail. .
Compared with earlier attempts based on the Skyrme model, we obtain a very good match with the long-range parts of the Paris potential. Overall, these results provide an excellent starting point for describing the nucleon-nucleon interaction from the Skyrme model. Importantly, we can describe many features of the nucleon-nucleon interaction using a purely pionic theory.
our approach could be adapted to any model which treats nuclei as quantised solitons. This includes holographic QCD, where nuclei are described as instantons on a curved spacetime
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and am now adding to the entry a screenshot of one page of the long list of HPC output of Skymions presented in the article, for illustration
Just learned (here) that this textbook now exists:
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Sven Bjarke Gudnason, Chris Halcrow, Vibrational modes of Skyrmions, Phys. Rev. D 98 125010 (2018) [arXiv:1811.00562, doi:10.1103/PhysRevD.98.125010]
Database of Skyrmion Vibrations [www1.maths.leeds.ac.uk/pure/geometry/SkyrmionVibrations/]
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this early reference had been missing:
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