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Exact knot solutions in a generalized Skyrme-Faddeev model
Zou, L. P.1,2,3; Zhang, P. M.1,4,5; Pak, D. G.1,6
刊名PHYSICAL REVIEW D
2013-05-15
卷号87
ISSN号1550-7998
DOI10.1103/PhysRevD.87.107701
文献子类Article
英文摘要We propose a generalized Skyrme-Faddeev type theory with an additional scalar field. In a special case of model parameters, one has a theory which admits exact knot solutions given by a class of exact toroidal solitons from the Aratyn-Ferreira-Zimerman (AFZ) integrable CP1 model. In a general case, the theory admits an exact knot solution for a unit Hopf charge. For higher Hopf charges, we perform numeric analysis of the solutions and obtain estimates for the knot energies using an energy minimization procedure based on ansatz with AFZ field configurations and with rational functions. We show that AFZ configurations provide better approximate solutions. The corresponding knot energies are in good agreement with a standard law for the low energy bound, E-H similar or equal to Q(H)(3/4).
资助项目UzFFR[F2-FA-F116]
WOS关键词CLASSICAL FIELD-THEORY ; SOLITON-SOLUTIONS ; QCD
WOS研究方向Astronomy & Astrophysics ; Physics
语种英语
出版者AMER PHYSICAL SOC
WOS记录号WOS:000319117300011
内容类型期刊论文
源URL[http://119.78.100.186/handle/113462/48257]  
专题中国科学院近代物理研究所
通讯作者Zou, L. P.
作者单位1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
2.Lanzhou Univ, Sch Nucl Sci & Technol, Lanzhou 730000, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Lanzhou Univ, Res Ctr Hadron, Lanzhou 730000, Peoples R China
5.Lanzhou Univ, CSR Phys, Lanzhou 730000, Peoples R China
6.Inst Nucl Phys, Lab Few Nucleon Syst, Ulugbek 100214, Uzbekistan
推荐引用方式
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Zou, L. P.,Zhang, P. M.,Pak, D. G.. Exact knot solutions in a generalized Skyrme-Faddeev model[J]. PHYSICAL REVIEW D,2013,87.
APA Zou, L. P.,Zhang, P. M.,&Pak, D. G..(2013).Exact knot solutions in a generalized Skyrme-Faddeev model.PHYSICAL REVIEW D,87.
MLA Zou, L. P.,et al."Exact knot solutions in a generalized Skyrme-Faddeev model".PHYSICAL REVIEW D 87(2013).
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