A note on the soliton picture in a Skyrme-like model

  • The role of the anti-commutator term of the chiral current in a Skyrme-like model was studied associated with the symmetric Skyrmion and the nucleon properties in terms of the zero-mode quantization. It is shown that the Skyrmion is stable only when the anti-commutator term in the model has a negative coupling constant(-k2) while a QCD functional analysis gives a positive coupling constant. This implies either the coupling is negligibly small and negative, or the soliton picture for the baryons is beyond the approximation of QCD at the level of the quark loop.
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  • [1] Ripka G. Quark-Loop and Bag Model. Verona: Proc. Int. School of Interm. Ener. Phys., 1985[2] Skyrme T H R. Nucl. Phys., 1961, 31: 556[3] Wilets L. Nontopological Solitons. Singapore: World Sci. Lecture Notes in Physics, World Sci. 1989. 24[4] Diakonov D, Petrov V. Nucl. Phys. B, 1984, 245: 259; Kahana S. Ripka G, Soni V. Nucl. Phys. A, 1984, 415: 351[5] Nambu Y, Jona Lasinio G. Phys. Rev., 1961, 122: 345; 1961, 124: 246[6] Mosel U. Fields, Symmetries, and Quarks. New York: Spriger-Verlag, 1999[7] Witten E. Nucl. Phys., 1983, 223: 422[8] Petar Simic. Phys. Rev. Lett., 1985, 55: 40[9] Battye R, Sutcliffe P M. Phys. Rev. Lett., 1997, 79: 363[10] Battye R, Sutcliffe P M. Phys. Rev. C, 2006, 73: 055205[11] Adkins G S, Nappi C R, Witten E. Nucl. Phys. B, 1983, 228: 552[12] Adkins G S, Nappi C R. Nucl. Phys. B, 1984, 233: 109[13] Zahed I, Brown G. Phys. Rept., 1986, 142: 1[14] YAN M L. HEP NP, 2006, 30, 11: 1141 (in Chinese)[15] Gasser J, Leutwyler H. Phys. Lett. B, 1983, 125: 321[16] JIA D J, WANG X W. Mod. Phys. Lett. A, 2011, 26: 557; arXiv: 1009. 3732[17] Manton N S, Samols T M. J. Phys. A, 1990, 23: 3749[18] JIA D J, WANG X W, LIU F. Chin. Phys. Lett., 2010, 27: 121201; arXiv: 0912. 5142[19] Coleman S, Witten W. Phys. Rev. Lett., 1980, 45: 100
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JIA Duo-Jie, ZHANG Jin-Hu and WANG Qing. A note on the soliton picture in a Skyrme-like model[J]. Chinese Physics C, 2012, 36(9): 797-804. doi: 10.1088/1674-1137/36/9/001
JIA Duo-Jie, ZHANG Jin-Hu and WANG Qing. A note on the soliton picture in a Skyrme-like model[J]. Chinese Physics C, 2012, 36(9): 797-804.  doi: 10.1088/1674-1137/36/9/001 shu
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Received: 2011-12-21
Revised: 2012-01-12
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A note on the soliton picture in a Skyrme-like model

    Corresponding author: JIA Duo-Jie,
    Corresponding author: ZHANG Jin-Hu,

Abstract: The role of the anti-commutator term of the chiral current in a Skyrme-like model was studied associated with the symmetric Skyrmion and the nucleon properties in terms of the zero-mode quantization. It is shown that the Skyrmion is stable only when the anti-commutator term in the model has a negative coupling constant(-k2) while a QCD functional analysis gives a positive coupling constant. This implies either the coupling is negligibly small and negative, or the soliton picture for the baryons is beyond the approximation of QCD at the level of the quark loop.

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