A Soliton Solution with Baryon Number B=0 and Skyrmion
1985; Oxford University Press; Volume: 73; Issue: 2 Linguagem: Inglês
10.1143/ptp.73.524
ISSN1347-4081
AutoresKazuya Fujii, S. Otsuki, Fumihiko Toyoda,
Tópico(s)Advanced Topics in Algebra
ResumoA soliton solution with the baryon number B = 1 of the Skyrme Lagrangian, called Skyrmion, I) has recently aroused wide interest. Many people are arguing that the Skyrmion may be the real baryon. 2 ) The present short note aims at giving a proof that the Skyrme Lagrangian does give another soliton solution with the Hopf index H =1 and the baryon number B=O .. The Hopf index is a topological number characterizing the third homotopy class of IMS 2 ), while the baryon number is that of II3(S3).)-5) The new solution, which we call Hopf soliton, has the mass MH and radius RH related to those of the Skyrmion, M S
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