THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2

GAO Xiao-Chun; WANG Yong

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(3) : 341-350

THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2

GAO Xiao-Chun ^, ,
WANG Yong

Zhejiang University,Hangzhou

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Abstract：
A specialkind of soliton solution in the skyrme model with the haryon number B=2 is investigated and quantized.The resultant mass spectrum is found to possess some peculiar properties but still in agreement with experiments.Our further studies show that it is impossible to construct the above mentioned soliton solution in the case with B=1,3,5,…,while on the other hand there exsists such soliton solution in the case with B=0,4,…,as well,which also leads to the afore mentioned peculiar properties.Finally,it is worthwhile to note that the B=0 soliton is just the famous "Hopf soliton".

References

[1]

E. Witten, Nucl. Phys, B160 (1979), 57,[2] T . H. E. Skyrme, Proc. Roy. Soc, A260(1961). 127.[3] D. Finkelstein and J . Rubinstein, J. Mazh. Phys, 9(1968), 1762.[4] E. Witten, Nucl. Phys., B223(1983), 422.[5] E. Witten, Nucl. Phys, B223(1983), 433.[6] E. Guadagnini, Nucl. Phys., B236(1984), 35.[7] G. Adkins, C Nappi and E. Witten, Nucl. Phys., B228(1983), 552.[8] G. Adkins and C. Nappi, Phys. Lett,, 137B(1984), 251.[9] G. Adkins and C. Nappi, Nucl. Phys, B233(1984), 109.[10] P. 0. Mazur, M. A. Nowak and M. Praszalowicz, Phys. Lett., 147B(1984), 137.[11] K. Fujii, S. Otsuki and F. Toyoda, KYUSHU-84-HE-j(1984).[12] I;. Fujii, S. Otsuki and F. Toyoda, Prog. Thcor. Phys., 73(1985), 524, 1287.[13] Iiuang Tao, Wen Jiaru, Zhou Xianjian, Chinese Phys. Lezz., V. 3, N. 2(1986), 85.[14] J . Goldstone and F. Wilczk, Phys. Rev. Lett, 47(1981), 986.[15] E. B. Bogomol'nyi and V . A. Fateev, Sou. J. Nucl. Phys., 37(1983), 134.[16] A. Jackson, A. D. Jackson and V. Pasquier, Nucl. Phys., A. 432(1984), 567.[17] H. Weigal, B. Schwesinger and G. Holzwarth, Phys. Lett., 168B(1986), 321.[18] R. Vinh Mau. M. Lacombe, B. Loiseau, W. N. Cottingham and P. Lisboa Phys. Lett, 150B(1985), 259.[19] U. G. Meissner and U. B. Kaulfuss, Phys. Rev., C30(1984), 2058.[20] E. Sorce and M. Tarlini, Phys. Rcu., D33(1986), 153.[21] H. M. Sommermann, H. W . Wyld, and C. J . Perhick, Phys. Rev. Lett., 55(1985), 476.

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GAO Xiao-Chun and WANG Yong. THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2[J]. Chinese Physics C, 1988, 12(3): 341-350.

GAO Xiao-Chun and WANG Yong. THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2[J]. Chinese Physics C, 1988, 12(3): 341-350. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2

GAO Xiao-Chun ^,
WANG Yong

Corresponding author: GAO Xiao-Chun,

Zhejiang University,Hangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-06-05

Abstract: A specialkind of soliton solution in the skyrme model with the haryon number B=2 is investigated and quantized.The resultant mass spectrum is found to possess some peculiar properties but still in agreement with experiments.Our further studies show that it is impossible to construct the above mentioned soliton solution in the case with B=1,3,5,…,while on the other hand there exsists such soliton solution in the case with B=0,4,…,as well,which also leads to the afore mentioned peculiar properties.Finally,it is worthwhile to note that the B=0 soliton is just the famous "Hopf soliton".