Starting from approximate Skyrmion solutions obtained using the rational map ansatz, improved approximate Skyrmions are constructed using scaling arguments. Although the energy improvement is small, the change of shape clarifies whether the true Skyrmions are more oblate or prolate.
REFERENCES
1.
T. H. R.
Skyrme
, Proc. R. Soc. London, Ser. A
260
, 127
(1961
).2.
R. A.
Battye
and P. M.
Sutcliffe
, Nucl. Phys. B
705
, 384
(2005
).3.
R. A.
Battye
and P. M.
Sutcliffe
, Phys. Rev. C
73
, 055205
(2006
).4.
R. A.
Battye
, N. S.
Manton
, and P. M.
Sutcliffe
, Proc. R. Soc. London, Ser. A
463
, 261
(2007
).5.
C. J.
Houghton
, N. S.
Manton
, and P. M.
Sutcliffe
, Nucl. Phys. B
510
, 507
(1998
).6.
R. A.
Battye
and P. M.
Sutcliffe
, Rev. Math. Phys.
14
, 29
(2002
).7.
N. S.
Manton
, J. Math. Phys.
50
, 032901
(2009
).8.
G. H.
Derrick
, J. Math. Phys.
5
, 1252
(1964
).9.
R. A.
Battye
, N. S.
Manton
, P. M.
Sutcliffe
, and S. W.
Wood
, Phys. Rev. C
80
, 034323
(2009
).10.
C. M.
Bender
and S. A.
Orszag
, Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory
(Springer-Verlag
, New York
, 1999
).11.
N. S.
Manton
and S. W.
Wood
, Phys. Rev. D
74
, 125017
(2006
).© 2011 American Institute of Physics.
2011
American Institute of Physics
You do not currently have access to this content.
