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Compact baby skyrmions

Sep, 2009

23 pages

Published in:

Phys.Rev.D 80 (2009) 105013

e-Print:

0909.2505 [hep-th]

DOI:

10.1103/PhysRevD.80.105013

View in:

ADS Abstract Service

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Abstract: (arXiv)

For the baby Skyrme model with a specific potential, compacton solutions, i.e., configurations with a compact support and parabolic approach to the vacuum, are derived. Specifically, in the non-topological sector, we find spinning Q-balls and Q-shells, as well as peakons. Moreover, we obtain compact baby skyrmions with non-trivial topological charge. All these solutions may form stable multi-soliton configurations provided they are sufficiently separated.

Note:

22 pages, 17 figures

11.10.Lm
11.10.Kk
charge: topological
Skyrme model
stability
compacton
Q-ball
Skyrmion
field equations: solution
boundary condition

References(60)

Figures(40)

A Nonlinear field theory

T.H.R. Skyrme
(
- Harwell, AERE
)

- Proc.Roy.Soc.Lond.A 260 (1961) 127-138,
- Also in *Brown, G.E. (ed.): Selected papers of Tony Hilton Royle Skyrme* 195-206
•
DOI:
- 10.1098/rspa.1961.0018

A Unified Field Theory of Mesons and Baryons

T.H.R. Skyrme
(
- Harwell, AERE
)

- Nucl.Phys. 31 (1962) 556-569,
- Also in *Rebbi, C. ( Ed.), Soliani, G. ( Ed.): Solitons and Particles*, 499-512, and in *Lewes 1984, Proceedings, Solitons In Nuclear and Elementary Particle Physics*, 13-26
•
DOI:
- 10.1016/0029-5582(62)90775-7

Kinks and the Dirac equation

T.H.R. Skyrme
(
- Birmingham U.
)

- J.Math.Phys. 12 (1971) 1735-1743,
- Also in *Brown, G.E. (ed.): Selected papers of Tony Hilton Royle Skyrme* 222-230
•
DOI:
- 10.1063/1.1665798

Multi - solitons in a two-dimensional Skyrme model

B.M.A.G. Piette
(
- Durham U.
)
,
B.J. Schroers
(
- Durham U.
)
,
W.J. Zakrzewski
(
- Durham U. and
- Montreal U., CRM
)

- Z.Phys.C 65 (1995) 165-174
•
e-Print:
- hep-th/9406160
•
DOI:
- 10.1007/BF01571317

Dynamics of baby skyrmions

- Nucl.Phys.B 439 (1995) 205-235
•
e-Print:
- hep-ph/9410256
•
DOI:
- 10.1016/0550-3213(95)00011-G

Soliton Scatterings in Some Relativistic Models in (2+1)-dimensions

Robert A. Leese
(
- Durham U.
)
,
Michel Peyrard
(
- Bourgogne U. and
- Los Alamos
)
,
Wojciech J. Zakrzewski
(
- Durham U. and
- Los Alamos
)

- Nonlinearity 3 (1990) 773-808
•
DOI:
- 10.1088/0951-7715/3/3/011

- Chaos Solitons Fractals 5 2495

The interaction of Skyrme-like lumps in (2+1) dimensions

P.M. Sutcliffe
(
- Durham U., Dept. of Math.
)

- Nonlinearity 4 (1991) 4, 1109-1121
•
DOI:
- 10.1088/0951-7715/4/4/004

Metastable States of Two-Dimensional Isotropic Ferromagnets

Alexander M. Polyakov
(
- Landau Inst.
)
,
A.A. Belavin
(
- Landau Inst.
)

- JETP Lett. 22 (1975) 245-248,
- Pisma Zh.Eksp.Teor.Fiz. 22 (1975) 503-506

Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies

- Phys.Rev.B 47 (1993) 16419-16426
•
DOI:
- 10.1103/PhysRevB.47.16419

Towards a phase diagram of the 2-D Skyrme model

- EPL 55 (2001) 633-639
•
e-Print:
- hep-ph/0104229
•
DOI:
- 10.1209/epl/i2001-00463-3

Skyrmions and the pion mass

Richard Battye
(
- Jodrell Bank and
- Manchester U.
)
,
Paul Sutcliffe
(
- Kent U.
)

- Nucl.Phys.B 705 (2005) 384-400
•
e-Print:
- hep-ph/0410157
•
DOI:
- 10.1016/j.nuclphysb.2004.11.018

- Phys.Rev.C 73 005205

Mass terms in the Skyrme model

- Phys.Rev.D 73 (2006) 014006
•
e-Print:
- hep-th/0503127
•
DOI:
- 10.1103/PhysRevD.73.014006

Skyrme model with different mass terms

- Phys.Rev.D 77 (2008) 074009
•
e-Print:
- 0801.0657
•
DOI:
- 10.1103/PhysRevD.77.074009

The Baby skyrme models and their multiskyrmions

Tom Weidig
(
- Durham U.
)

- Nonlinearity 12 (1999) 1489
•
e-Print:
- hep-th/9811238
•
DOI:
- 10.1088/0951-7715/12/6/303

The Baby skyrme models and their multiskyrmions

Tom Weidig
(
- Durham U.
)

- Nonlinearity 12 (1999) 1489
•
e-Print:
- hep-th/9811238
•
DOI:
- 10.1088/0951-7715/12/6/303

Baby Skyrme models for a class of potentials

- Nonlinearity 13 (2000) 1867
•
e-Print:
- hep-th/0001153
•
DOI:
- 10.1088/0951-7715/13/5/322

Baby Skyrme models for a class of potentials

- Nonlinearity 13 (2000) 1867
•
e-Print:
- hep-th/0001153
•
DOI:
- 10.1088/0951-7715/13/5/322

Planar skyrmions at high and low density

R.S. Ward
(
- Durham U., Dept. of Math.
)

- Nonlinearity 17 (2004) 1033
•
e-Print:
- hep-th/0307036
•
DOI:
- 10.1088/0951-7715/17/3/014

Planar skyrmions at high and low density

R.S. Ward
(
- Durham U., Dept. of Math.
)

- Nonlinearity 17 (2004) 1033
•
e-Print:
- hep-th/0307036
•
DOI:
- 10.1088/0951-7715/17/3/014

Rotational symmetry breaking in baby Skyrme models

Itay Hen
(
- Tel Aviv U.
)
,
Marek Karliner
(
- Tel Aviv U.
)

- Nonlinearity 21 (2008) 399-408
•
e-Print:
- 0710.3939
•
DOI:
- 10.1088/0951-7715/21/3/002

Rotational Symmetry Breaking in Baby Skyrme Models

Marek Karliner
(
- Tel Aviv U.
)
,
Itay Hen
(
- Tel Aviv U.
)

Compactons: Solitons with finite wavelength

Philip Rosenau
(
- Technion and
- Los Alamos
)
,
James M. Hyman
(
- Technion and
- Los Alamos
)

- Phys.Rev.Lett. 70 (1993) 564-567
•
DOI:
- 10.1103/PhysRevLett.70.564

Topological compactons

H. Arodz
(
- Jagiellonian U.
)

- Acta Phys.Polon.B 33 (2002) 1241-1252
•
e-Print:
- nlin/0201001

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