26,819 research outputs found
Investigation of restricted baby Skyrme models
A restriction of the baby Skyrme model consisting of the quartic and
potential terms only is investigated in detail for a wide range of potentials.
Further, its properties are compared with those of the corresponding full baby
Skyrme models. We find that topological (charge) as well as geometrical
(nucleus/shell shape) features of baby skyrmions are captured already by the
soliton solutions of the restricted model. Further, we find a coincidence
between the compact or non-compact nature of solitons in the restricted model,
on the one hand, and the existence or non-existence of multi-skyrmions in the
full baby Skyrme model, on the other hand.Comment: latex, 18 pages, 2 figures; some typos correcte
Compact shell solitons in K field theories
Some models providing shell-shaped static solutions with compact support
(compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding
exact solutions are calculated analytically. These solutions turn out to be
topological solitons, and may be classified as maps and suspended
Hopf maps, respectively. The Lagrangian of these models is given by a scalar
field with a non-standard kinetic term (K field) coupled to a pure Skyrme term
restricted to , rised to the appropriate power to avoid the Derrick
scaling argument. Further, the existence of infinitely many exact shell
solitons is explained using the generalized integrability approach. Finally,
similar models allowing for non-topological compactons of the ball type in 3+1
dimensions are briefly discussed.Comment: 10 pages, latex, 2 figures, change in title and introduction.
Discussion section, 2 figures and references adde
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