THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL

ZENG Xin-Chuan; HU Shi-Ke

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(4) : 469-475

THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL

ZENG Xin-Chuan ^, ,
HU Shi-Ke

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Abstract：
We generalize the Skyrme model to SU(4)×SU(4) chiral invariant case. With the flavor symmetry brea king terms of PCAC formula of pseudo scalar meson, we evaluate the mass splitting of the baryons in the representation 20_M of the flavor symmetry group SU(4). The theoretical results agree with the experimental values to a certain extent. We also discuss the results obtained.

References

[1]

T. H. R. Skyrme, Proc. Roy. Soc., A260 (1961), 127.[2] G't Hooft, Nucl. Phys., B72(1974), 461; B75(1974), 461.E. Witten, Nucl. Phys., 8160 (1979), 57.[3] G. S. Adkins, C. R. Nappi and E. Wittea, Nucl. Phys.; B228 (1983), 552; G. S. Adkins and C. R. Nappi, Nucl. Phys., B233 (1984), 109.[4] J. W. Carlson, Reprinted, UCB-PTB-84/26 (Oct. 1984).[5] E. Guadagnini, Nucl. Phys., B236 (1984), 35.[6] M. S. Sriram, H. S. Mani and R. Ramachandran, Phys. Rev., D30(1984), 1141.[7] J. Wess and B. Zumino, Phys. Lett.,37B (1971), 95.E. Witten, Nucl. Phys., B223 (1983), 422.[8] J. J. Aubert et al., Phys. Rev. Lett., 33(1974), 1404.J. E. Augustin et al., Phys. Rev. Lett., 33 (1974), 1406.[9] G. E. Baird and L, C. Biedenharn, J. Math. Phys., 5(1964), 1723.[10] Verenika Rabl et al:, J. Math. Phys. 16(1975), 2494.[11] P. Di. Vecchia, F. Nicodemi, R. Pettorino and G. Venezino, Nucl, Phys., 8181(1981), 318.[12] Faheem Hussain and M. S. Sriram, Phys. Rev. Lett., 55 (1985), 1169.

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ZENG Xin-Chuan and HU Shi-Ke. THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL[J]. Chinese Physics C, 1987, 11(4): 469-475.

ZENG Xin-Chuan and HU Shi-Ke. THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL[J]. Chinese Physics C, 1987, 11(4): 469-475. 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 BARYON STRUCTURE IN THE SKYRME MODEL

ZENG Xin-Chuan ^,
HU Shi-Ke

Corresponding author: ZENG Xin-Chuan,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-08-05

Abstract: We generalize the Skyrme model to SU(4)×SU(4) chiral invariant case. With the flavor symmetry brea king terms of PCAC formula of pseudo scalar meson, we evaluate the mass splitting of the baryons in the representation 20_M of the flavor symmetry group SU(4). The theoretical results agree with the experimental values to a certain extent. We also discuss the results obtained.