The Bubbles of matter from multiskyrmions

May, 2001
7 pages
Published in:
  • JETP Lett. 73 (2001) 587-591,
  • Pisma Zh.Eksp.Teor.Fiz. 73 (2001) 667-671
e-Print:

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Abstract:
The multiskyrmions with large baryon number B given by rational map (RM) ansaetze can be described reasonably well within the domain wall approximation, or as spherical bubbles with energy and baryon number density concentrated at their boundary. A special class of profile functions is considered approximating the true profile and domain wall behaviour at the same time. An upper bound is obtained for the masses of RM multiskyrmions which is close to the calculated masses, especially at large B. The gap between rigorous upper and lower bounds for large B multiskyrmions is less than 4%. The basic properties of such bubbles of matter are investigated, some of them being of universal character, i.e. they do not depend on baryon number of configuration and on the number of flavors. As a result, the lagrangian of the Skyrme type models provides field theoretical realization of the bag model of special kind.
Note:
  • 7 pages, no figures
  • Skyrmion: mass
  • symmetry: SU(2)
  • symmetry: SU(3)
  • baryon number: high
  • domain wall
  • matter: bubble
  • soliton
  • numerical calculations