Multi-Skyrmion solutions for the sixth order Skyrme model

Journal Article · Wed Aug 15 00:00:00 EDT 2001 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.64.045009· OSTI ID:40230615

Floratos, I; Piette, B

Following Marleau, we study an extended version of the Skyrme model to which a sixth order term has been added to the Lagrangian and we analyze some of its classical properties. We compute the multi-Skyrmion solutions numerically for up to B=5 and show that they have the same symmetries as the usual Skyrmion solutions. We use the rational map ansatz introduced by Houghton, Manton, and Sutcliffe to evaluate the energy and the radius for multi-Skyrmion solutions of up to B=6 for both the SU(2) and SU(3) models and compare these results to the ones obtained numerically. We show that the rational map ansatz works as well for the generalized model as for the pure Skyrme model.

• Sponsoring Organization: (US)
• OSTI ID: 40230615
• Journal Information: Physical Review D, Vol. 64, Issue 4; Other Information: DOI: 10.1103/PhysRevD.64.045009; Othernumber: PRVDAQ000064000004045009000001; 090114PRD; PBD: 15 Aug 2001; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
LAGRANGIAN FUNCTION
SKYRME POTENTIAL
SOLITONS