Topological Concepts in Nuclear Physics: The Deuteron as a Bi-Skyrmion
This conference has been organized by Bruno Gruber around the theme of symmetry, and it is useful therefore to begin by recalling that symmetry groups appear in quantal physics in three distinct ways: (a) linearly in the Wigner mode, (b) non-linearly in the Heisenberg mode, and (c) topologically in what might well be called the Dirac mode, since the first application occurred in Dirac’s famous magnetic monopole paper. The subject to be discussed here will actually involve all three of these modes.
KeywordsBaryon Number Magnetic Monopole Skyrme Model Minimal Energy Configuration Quantal Solution
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- 2.L. C. Biedenharn and J. D. Louck, “The Racah-Wigner Algebra in Quantum Theory”, in Encl. of Math. and its Applications, Vol. 9, (G.-C. Rota, Ed.) (Addison-Wesley Publ. Co., Reading, MA 1981). A detailed review with citations of the original papers is given in Topic 2, “Monopolar Harmonics”, p. 201 ff.Google Scholar
- 4.G. Holzwarth and B. Schwesinger, “Baryons in the Skyrme Model”, Reports on Progress in Physics, (to be published).Google Scholar
- 7.E. Witten, Nucl. Phys. B223 (1983) 422;Google Scholar
- E. Witten, Nucl. Phys. B223 (1983) 433.Google Scholar
- 8.R. Bott, Bull. Soc. Math. France, 84 (1956) 251.Google Scholar
- 10.L.C. Biedenharn, Y. Dothan and A. Stern, Phys. Lett. 146D (1984) 289.Google Scholar
- 11.L.C. Biedenharn and Yossef Dothan, “Monopolar Harmonics in SU3f as Eigenstates of the Skyrme-Witten Model for Baryons”, pp. 19–34 in “From SU3 to Gravity” (Neeman Festschrift), ( Cambridge University Press, Cambridge, U.K. ) 1986.Google Scholar
- 13.Eric Braaten and Larry Carson, “Nuclei in the Skyrme Model”, preprint ANL-HEP-CP-85–67 presented at the LANL Workshop on Rel. Dyn. and Quarks in Nuclear Physics, June (1985), (to be published).Google Scholar
- 14.E. Sorace and M. Tarlini, Phys. Rev. D33 (1986) 253.Google Scholar