TY - JOUR
T1 - Baby Skyrmions on the two-sphere
AU - Hen, Itay
AU - Karliner, Marek
PY - 2008/3/25
Y1 - 2008/3/25
N2 - We find the static multisoliton solutions of the baby Skyrme model on the two-sphere for topological charges 114. Numerical full-field results show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is toroidal, and Skyrmions with higher charge all have point symmetries which are subgroups of O(3). We find that a rational map ansatz yields very good approximations to the full-field solutions. We point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the three-dimensional Skyrme model.
AB - We find the static multisoliton solutions of the baby Skyrme model on the two-sphere for topological charges 114. Numerical full-field results show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is toroidal, and Skyrmions with higher charge all have point symmetries which are subgroups of O(3). We find that a rational map ansatz yields very good approximations to the full-field solutions. We point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the three-dimensional Skyrme model.
UR - http://www.scopus.com/inward/record.url?scp=41549153019&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.036612
DO - 10.1103/PhysRevE.77.036612
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
C2 - 18517548
AN - SCOPUS:41549153019
SN - 1539-3755
VL - 77
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036612
ER -