THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL

WEN Jia-Ru; HUANG Tao

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(1) : 34-41

THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL

WEN Jia-Ru ^, ,
HUANG Tao

Institute of High Energy Physics,Academia Sinica

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Abstract：
In the SU(2)×SU(2) Skyrme model,one can treat the topological soliton-Skyrmion having baryon number B=1 as baryon.In this paper,we have used Skyrmion and anti-Skyrmion to construct a kind of composite soliton solution having baryon number B=0 but Hopf index H=1 and have found its mass depends on a dimensionless parameter p(0<p≤1).In addition,we have also discussed the quantization of the soliton and the probability of treating the quantized soliton as baryonium.

References

[1]

G. tHooft, Nucl. Phys., B72(1974), 461; B75(1974), 461.[2] T. H. G. Skyrme, Proc. Soc., A260(1961), 127; Nucl. Phys. 31(1962), 556.[3] E. Witten, Nucl. Phys.. B223(1983), 433.[4] G. Adkins et al., Nucl. Phys., B228(1983), 552.[5] N. P. Pak and H. Ch. Tze, Ann. Phys., 117(1979), 164.[6] E. Witten, Nucl. Phys., B223(1983), 422.[7] Huang Tao, Wen Jiaru and Zhou Xianjian, Chinese Phys. Lett., V3(1986), 85.[8] K. Fujii et al., preprint, KYUSHU-84-HE-5, (1984).

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WEN Jia-Ru and HUANG Tao. THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL[J]. Chinese Physics C, 1988, 12(1): 34-41.

WEN Jia-Ru and HUANG Tao. THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL[J]. Chinese Physics C, 1988, 12(1): 34-41. shu

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

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THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL

WEN Jia-Ru ^,
HUANG Tao

Corresponding author: WEN Jia-Ru,

Institute of High Energy Physics,Academia Sinica

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-02-05

Abstract: In the SU(2)×SU(2) Skyrme model,one can treat the topological soliton-Skyrmion having baryon number B=1 as baryon.In this paper,we have used Skyrmion and anti-Skyrmion to construct a kind of composite soliton solution having baryon number B=0 but Hopf index H=1 and have found its mass depends on a dimensionless parameter p(0<p≤1).In addition,we have also discussed the quantization of the soliton and the probability of treating the quantized soliton as baryonium.