Dynamics of moving and spinning Skyrmions - INSPIRE

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Dynamics of moving and spinning Skyrmions

B.J. Schroers
(
- Durham U.
)

May, 1993

35 pages

Published in:

Z.Phys.C 61 (1994) 479-494

e-Print:

hep-ph/9308236 [hep-ph]

DOI:

10.1007/BF01413188

Report number:

DTP-93-29

View in:

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Abstract:

We study the intermediate- and long-range forces between moving and spinning Skyrmions, employing two different methods. One uses a relativised product ansatz for the Skyrme fields, the other models Skyrmions as triplets of scalar dipoles. The methods lead to the same finite-dimensional Lagrangian dynamical system which may be interpreted as a point-particle approximation to Skyrmion dynamics. We discuss in detail the dynamics in the so-called attractive channel and the interaction between well-separated and rapidly spinning Skyrmions, and point out the resemblance between the latter and the one-pion exchange potential in nuclear physics.

Skyrmion: interaction
interaction: Skyrmion
force: long-range
potential
Skyrmion: multiplet
multiplet: Skyrmion
approximation: moduli space
kinematics

References(20)

Figures(0)

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

Unstable Manifolds and Soliton Dynamics

N.S. Manton
(
- Cambridge U.
)

- Phys.Rev.Lett. 60 (1988) 1916
•
DOI:
- 10.1103/PhysRevLett.60.1916

Exotic Skyrmions

V.B. Kopeliovich
(
- Moscow, INR
)
,
B.E. Stern
(
- Moscow, INR
)

- JETP Lett. 45 (1987) 203-207,
- Pisma Zh.Eksp.Teor.Fiz. 45 (1987) 165-168

Is the $B=2$ Skyrmion Axially Symmetric?

N.S. Manton
(
- Cambridge U.
)

- Phys.Lett.B 192 (1987) 177
•
DOI:
- 10.1016/0370-2693(87)91162-2

Axial Symmetry of Bound Baryon Number Two Solution of the Skyrme Model

J.J.M. Verbaarschot
(
- Illinois U., Urbana
)

- Phys.Lett.B 195 (1987) 235-239
•
DOI:
- 10.1016/0370-2693(87)91201-9

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

Skyrmions From Instantons

M.F. Atiyah
(
- Oxford U.
)
,
N.S. Manton
(
- Cambridge U.
)

- Phys.Lett.B 222 (1989) 438-442
•
DOI:
- 10.1016/0370-2693(89)90340-7

Geometry and kinematics of two skyrmions

M.F. Atiyah
(
- Cambridge U.
)
,
N.S. Manton
(
- Cambridge U.
)

- Commun.Math.Phys. 153 (1993) 391-422
•
DOI:
- 10.1007/BF02096649

Spin - Orbit Interaction in the Skyrme Model

D.O. Riska
(
- Helsinki U.
)
,
E.M. Nyman
(
- Helsinki U.
)

- Phys.Lett.B 183 (1987) 7-9,
- Phys. Lett. B183 ( 1987) 7-9
•
DOI:
- 10.1016/0370-2693(87)91407-9

The Nucleon Nucleon Spin Orbit Interaction in the Skyrme Model

D.O. Riska
(
- Helsinki U.
)
,
K. Dannbom
(
- Helsinki U.
)

- Phys.Scripta 37 (1988) 7-12
•
DOI:
- 10.1088/0031-8949/37/1/001

Monopole Interactions at Long Range

N.S. Manton
(
- Cambridge U.
)

- Phys.Lett.B 154 (1985) 397,
- Phys.Lett.B 157 (1985) 475 (erratum)
•
DOI:
- 10.1016/0370-2693(85)90417-4

The Motion of Extreme {Reissner-Nordstrom} Black Holes in the Low Velocity Limit

G.W. Gibbons
(
- Cambridge U.
)
,
P.J. Ruback
(
- Cambridge U.
)

- Phys.Rev.Lett. 57 (1986) 1492
•
DOI:
- 10.1103/PhysRevLett.57.1492

Static Properties of Nucleons in the Skyrme Model

Gregory S. Adkins
(
- Princeton U.
)
,
Chiara R. Nappi
(
- Princeton, Inst. Advanced Study
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 228 (1983) 552,
- Trieste Particle Phys.1983:III-3
•
DOI:
- 10.1016/0550-3213(83)90559-X

The Skyrmion-Skyrmion Interaction

- Nucl.Phys.A 432 (1985) 567-609,
- Nucl. Phys. A432 ( 1985) 567-609
•
DOI:
- 10.1016/0375-9474(85)90002-8

The Static Baryon Baryon Potential in the Skyrme Model

R. Vinh Mau
(
- SUNY, Stony Brook and
- Orsay, IPN
)
,
M. Lacombe
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
B. Loiseau
(
- Orsay, IPN and
- Paris U., VI-VII
)
,
W.N. Cottingham
(
- Bristol U.
)
,
P. Lisboa
(
- Bristol U.
)

- Phys.Lett.B 150 (1985) 259-264
•
DOI:
- 10.1016/0370-2693(85)91007-X

The Skyrme Model with Pion Masses

- Nucl.Phys.B 233 (1984) 109-115
•
DOI:
- 10.1016/0550-3213(84)90172-X

Baryons in the Skyrme Model

G. Holzwarth
(
- Siegen U.
)
,
B. Schwesinger
(
- Siegen U.
)

- Rept.Prog.Phys. 49 (1986) 825
•
DOI:
- 10.1088/0034-4885/49/8/001

Symmetry and Quantization of the Two Skyrmion System: The Case of the Deuteron

J.J.M. Verbaarschot
(
- Illinois U., Urbana
)
,
T.S. Walhout
(
- Illinois U., Urbana
)
,
J. Wambach
(
- Illinois U., Urbana
)
,
H.W. Wyld
(
- Illinois U., Urbana
)

- Nucl.Phys.A 468 (1987) 520-538
•
DOI:
- 10.1016/0375-9474(87)90181-3

The Nucleon-nucleon potential in the Skyrme model: Beyond the product ansatz

- Phys.Rev.Lett. 67 (1991) 314-317
•
DOI:
- 10.1103/PhysRevLett.67.314

Gauging of Chern-Simons p-branes

Raiko P. Zaikov
(
- ICTP, Trieste
)

- Int.J.Mod.Phys.A 9 (1994) 3367-3376
•
e-Print:
- hep-th/9308017
•
DOI:
- 10.1142/S0217751X94001333