摘要An analytical solution for symmetric Skyrmion is proposed for the SU(2) Skyrme model, which takes the form of the hybrid form of a kink-like solution, given by the instanton method. The static properties of nucleons is then computed within the framework of collective quantization of the Skyrme model, in a good agreement with that given by the exact numeric solution. The comparisons with the previous results as well as the experimental values are also presented.
Abstract:An analytical solution for symmetric Skyrmion is proposed for the SU(2) Skyrme model, which takes the form of the hybrid form of a kink-like solution, given by the instanton method. The static properties of nucleons is then computed within the framework of collective quantization of the Skyrme model, in a good agreement with that given by the exact numeric solution. The comparisons with the previous results as well as the experimental values are also presented.
(General properties of QCD (dynamics, confinement, etc.))
引用本文:
JIA Duo-Jie;WANG Xiao-Wei;LIU Feng
. Analytical Solution for the SU(2) Hedgehog Skyrmion and Static Properties of Nucleons[J]. 中国物理快报, 2010, 27(12): 121201-121201.
JIA Duo-Jie, WANG Xiao-Wei, LIU Feng
. Analytical Solution for the SU(2) Hedgehog Skyrmion and Static Properties of Nucleons. Chin. Phys. Lett., 2010, 27(12): 121201-121201.
[1] Skyrme T H R 1962 Nucl. Phys. 31 556
[2] Witten E 1983 Nucl. Phys. B 223 422
[3] Adkins G S, Nappi C R and Witten E 1983 Nucl. Phys. B 228 552
[4] Jackson A, Jackson A D and Pasquier V 1985 Nucl. Phys. A 432 567
[5] Sutcliffe P M 1992 Phys. Lett. B 292 104
[6] Battye R and Sutcliffe P M 1997 Phys. Rev. Lett. 79 363
[7] Atiyah M F and Manton N S 1993 Commun. Math. Phys. 152 391
[8] Atiyah M F and Manton N S 1989 Phys. Lett. B 222 438
[9] Battye R and Sutcliffe P M 2006 Phys. Rev. C 73 055205
[10] Zahed I and Brown G 1986 Phys. Rep. 142 1
[11] Manton N S and Sutcliffe P M 2004 Topological Solitons (Cambridge: Cambridge University)
[12] Ananias J, Galain R M and Ferreira E 1991 J. Math. Phys. 32 1949
[13] Ponciano J A, Epele L N, Fanchiotti H and García Canal C A 2001 Phys. Rev. C 64 045205
[14] Yamashita J and Hirayama M 2006 Phys. Lett. B 642 160
[15] Faddeev L D 1976 Lett. Math. Phys. 1 289