Solitons in a baby-Skyrme model with invariance under area-preserving diffeomorphisms

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.7731· OSTI ID:530256

Gisiger, T; Paranjape, M B ^[1]

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1. Groupe de Physique des Particules, Laboratoire de Physique Nucleaire, Universite de Montreal, C.P. 6128, Succ. Centre-ville, Montreal, Quebec, H3C 3J7 (CANADA)

We study the properties of soliton solutions in an analogue of the Skyrme model in 2+1 dimensions whose Lagrangian contains the Skyrme term and the mass term, but no usual kinetic term. The model admits a symmetry under area-preserving diffeomorphisms. We solve the dynamical equations of motion analytically for the case of spinning isolated baryon-type solitons. We take fully into account the induced deformation of the spinning Skyrmions and the consequent modification of its moment of inertia to give an analytical example of related numerical behavior found by Piette, Schroers, and Zakrzewski. We solve the equations of motion also for the case of an infinite, open string, and a closed annular string. In each case, the solitons are of finite extent, so called {open_quotes}compactons,{close_quotes} being exactly the vacuum outside a compact region. We end with indications on the scattering of baby Skyrmions, as well as some considerations as the properties of solitons on a curved space. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 530256
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BARYONS
DEFORMATION
EQUATIONS OF MOTION
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
MASS
MOMENT OF INERTIA
SCATTERING
SKYRME POTENTIAL
SOLITONS