THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL

  • 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 20M 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.
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  • [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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THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL

    Corresponding author: ZENG Xin-Chuan,

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 20M 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.

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