Baryonic torii: Toroidal baryons in a generalized Skyrme model
2015 (English)In: Physical Review D, ISSN 1550-7998, Vol. 91, no 4, 045027Article in journal (Refereed) Published
We study a Skyrme-type model with a potential term motivated by Bose-Einstein condensates (BECs), which we call the BEC Skyrme model. We consider two flavors of the model: the first is the Skyrme model, and the second has a sixth-order derivative term instead of the Skyrme term, both with the added BEC-motivated potential. The model contains toroidally shaped Skyrmions, and they are characterized by two integers P and Q, representing the winding numbers of two complex scalar fields along the toroidal and poloidal cycles of the torus, respectively. The baryon number is B = PQ. We find stable Skyrmion solutions for P = 1, 2, 3, 4, 5 with Q = 1, while for P = 6 and Q = 1, it is only metastable. We further find that configurations with higher Q > 1 are all unstable and split into Q configurations with Q = 1. Finally we discover a phase transition, possibly of first order, in the mass parameter of the potential under study.
Place, publisher, year, edition, pages
2015. Vol. 91, no 4, 045027
Astronomy, Astrophysics and Cosmology
IdentifiersURN: urn:nbn:se:su:diva-115677DOI: 10.1103/PhysRevD.91.045027ISI: 000349787400004OAI: oai:DiVA.org:su-115677DiVA: diva2:799802