Skyrmion Vibration Modes within the Rational Map Ansatz
نویسندگان
چکیده
We study the vibration modes of the Skyrme model within the rational map ansatz. We show that the vibrations of the radial profiles and the rational maps are decoupled and we consider explicitly the case B = 1, B = 2 and B = 4. We then compare our results with the vibration modes obtained numerically by Barnes et al. and show that qualitatively the rational map reproduces the vibration modes obtained numerically but that the vibration frequencies of these modes do not match very well.
منابع مشابه
S 3 Skyrmions and the Rational Map Ansatz
This paper discusses multi-skyrmions on the 3-sphere S 3 with variable radius L using the rational map ansatz. For baryon number B = 3,. .. , 9 this ansatz produces the lowest energy solutions known so far. By considering the geometry of the model we find an approximate analytic formula for the shape function. This provides an insight why skyrmions have a shell-like structure.
متن کاملSkyrmions, Fullerenes and Rational Maps
We apply two very different approaches to calculate Skyrmions with baryon number B ≤ 22. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann spheres. We use a simulated annealing algorithm to search for the minimal energy rational map of a given degree B. The second involves the numerical solution of the fu...
متن کاملMulti-Skyrmions with Vector Mesons
It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multiSkyrmions in such a theory. The rational map ansatz is used to investigate multiSkyrmions in a theory which includes the ω vector meson and has no Skyrme term. Bound states with baryon numbers two, three and four are found, which ha...
متن کاملSpherically Symmetric Solutions of the SU(N) Skyrme Models
Recently we have presented in [1] an ansatz which allows us to construct skyrmion fields from the harmonic maps of S to CPN−1. In this paper we examine this construction in detail and use it to construct, in an explicit form, new static spherically symmetric solutions of the SU(N) Skyrme models. We also discuss some properties of these solutions.
متن کاملPhase Structure of a Quantized Chiral Soliton on S
A quantization of a breathing motion of a rotating chiral soliton on S 3 is performed in terms of a family of trial functions for a profile function of the hegdehog ansatz. We determine eigenenergies of the quantized S 3 skyrmion by solving the Schrödinger equation of the breathing mode for several lower spin and isospin states varying the Skyrme term constants e. When S 3 radius is smaller tha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008