Baryonic handles: Skyrmions as open vortex strings on a domain wall

Sven Bjarke Gudnason, Muneto Nitta

Research output: Contribution to journalArticle

Abstract

We consider the BEC Skyrme model, which is based on a Skyrme-type model with a potential motivated by Bose-Einstein condensates (BECs), and, in particular, we study the Skyrmions in proximity of a domain wall that inhabits the theory. The theory turns out to have a rich flora of Skyrmion solutions that manifest themselves as twisted vortex rings or vortons in the bulk and vortex handles attached to the domain wall. The latter are linked open vortex strings. We further study the interaction between the domain wall and the Skyrmion and between the vortex handles themselves as well as between the vortex handle and the vortex ring in the bulk. We find that the domain wall provides a large binding energy for the solitons and it is energetically preferred to stay as close to the domain wall as possible; other configurations sticking into the bulk are metastable. We find that the most stable 2-Skyrmion is a torus-shaped braided string junction ending on the domain wall, which is produced by a collision of two vortex handles on the wall, but there is also a metastable configuration that is a doubly twisted vortex handle produced by a collision of a vortex handle on the wall and a vortex ring from the bulk.

Original languageEnglish
Article number125002
JournalPhysical Review D
Volume98
Issue number12
DOIs
Publication statusPublished - 2018 Dec 15

Fingerprint

domain wall
strings
vortices
vortex rings
Bose-Einstein condensates
plants (botany)
collisions
configurations
guy wires
proximity
solitary waves
binding energy
interactions

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Baryonic handles : Skyrmions as open vortex strings on a domain wall. / Gudnason, Sven Bjarke; Nitta, Muneto.

In: Physical Review D, Vol. 98, No. 12, 125002, 15.12.2018.

Research output: Contribution to journalArticle

@article{1ae030da36514eb68262cb1e21911a9f,
title = "Baryonic handles: Skyrmions as open vortex strings on a domain wall",
abstract = "We consider the BEC Skyrme model, which is based on a Skyrme-type model with a potential motivated by Bose-Einstein condensates (BECs), and, in particular, we study the Skyrmions in proximity of a domain wall that inhabits the theory. The theory turns out to have a rich flora of Skyrmion solutions that manifest themselves as twisted vortex rings or vortons in the bulk and vortex handles attached to the domain wall. The latter are linked open vortex strings. We further study the interaction between the domain wall and the Skyrmion and between the vortex handles themselves as well as between the vortex handle and the vortex ring in the bulk. We find that the domain wall provides a large binding energy for the solitons and it is energetically preferred to stay as close to the domain wall as possible; other configurations sticking into the bulk are metastable. We find that the most stable 2-Skyrmion is a torus-shaped braided string junction ending on the domain wall, which is produced by a collision of two vortex handles on the wall, but there is also a metastable configuration that is a doubly twisted vortex handle produced by a collision of a vortex handle on the wall and a vortex ring from the bulk.",
author = "Gudnason, {Sven Bjarke} and Muneto Nitta",
year = "2018",
month = "12",
day = "15",
doi = "10.1103/PhysRevD.98.125002",
language = "English",
volume = "98",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "12",

}

TY - JOUR

T1 - Baryonic handles

T2 - Skyrmions as open vortex strings on a domain wall

AU - Gudnason, Sven Bjarke

AU - Nitta, Muneto

PY - 2018/12/15

Y1 - 2018/12/15

N2 - We consider the BEC Skyrme model, which is based on a Skyrme-type model with a potential motivated by Bose-Einstein condensates (BECs), and, in particular, we study the Skyrmions in proximity of a domain wall that inhabits the theory. The theory turns out to have a rich flora of Skyrmion solutions that manifest themselves as twisted vortex rings or vortons in the bulk and vortex handles attached to the domain wall. The latter are linked open vortex strings. We further study the interaction between the domain wall and the Skyrmion and between the vortex handles themselves as well as between the vortex handle and the vortex ring in the bulk. We find that the domain wall provides a large binding energy for the solitons and it is energetically preferred to stay as close to the domain wall as possible; other configurations sticking into the bulk are metastable. We find that the most stable 2-Skyrmion is a torus-shaped braided string junction ending on the domain wall, which is produced by a collision of two vortex handles on the wall, but there is also a metastable configuration that is a doubly twisted vortex handle produced by a collision of a vortex handle on the wall and a vortex ring from the bulk.

AB - We consider the BEC Skyrme model, which is based on a Skyrme-type model with a potential motivated by Bose-Einstein condensates (BECs), and, in particular, we study the Skyrmions in proximity of a domain wall that inhabits the theory. The theory turns out to have a rich flora of Skyrmion solutions that manifest themselves as twisted vortex rings or vortons in the bulk and vortex handles attached to the domain wall. The latter are linked open vortex strings. We further study the interaction between the domain wall and the Skyrmion and between the vortex handles themselves as well as between the vortex handle and the vortex ring in the bulk. We find that the domain wall provides a large binding energy for the solitons and it is energetically preferred to stay as close to the domain wall as possible; other configurations sticking into the bulk are metastable. We find that the most stable 2-Skyrmion is a torus-shaped braided string junction ending on the domain wall, which is produced by a collision of two vortex handles on the wall, but there is also a metastable configuration that is a doubly twisted vortex handle produced by a collision of a vortex handle on the wall and a vortex ring from the bulk.

UR - http://www.scopus.com/inward/record.url?scp=85059371560&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85059371560&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.98.125002

DO - 10.1103/PhysRevD.98.125002

M3 - Article

AN - SCOPUS:85059371560

VL - 98

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 125002

ER -