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Volumn 31, Issue 1, 1985, Pages 118-127

Chiral model for nucleon and delta

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EID: 12744259186     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.31.118     Document Type: Article
Times cited : (202)

References (70)
  • 14
    • 84927896235 scopus 로고    scopus 로고
    • R. L. Jaffe, in Field Theory and Strong Interactions, proceedings of the XIX International Universitätswochen für Kernphysik, Schladming, Austria, 1980, edited by P. Urban (Springer, Wien, 1980)
  • 25
    • 84927896234 scopus 로고    scopus 로고
    • The full expression also contains scalar, isovector and pseudoscalar, isoscalar interactions. Since these do not contribute to DSB they have not been written out explicitly in (1.2).
  • 30
    • 84927896223 scopus 로고    scopus 로고
    • N. Snyderman and G. S. Guralnik, in Quark Confinement and Field Theory, proceedings of a conference, Rochester, New York, 1976, edited by D. R. Stump and D. H. Weingarten (Wiley, New York, 1977).
  • 43
    • 84927896222 scopus 로고    scopus 로고
    • This is not to be confused with the current quark masses which are believed to be small, app 5 – 10 MeV.
  • 52
    • 84927896221 scopus 로고    scopus 로고
    • For our soliton the set [ σ /( σ2+ φ vec2)1/2, φ vec /( σ2+ φ vec2)1/2] can be regarded as a mapping from R3, compactified to S3, to S3. Hence as in the case of topologically stable solitons, the mapping can be characterized by the corresponding element of the third homotopy group Π3(S3) apeq Z. This is why a topological winding number may be assigned to our soliton.
  • 65
    • 84927896218 scopus 로고    scopus 로고
    • See, for example, A. J. G. Hey, in Fundamentals of Quark Models, proceedings of the 17th Scottish Universities Summer School in Physics, edited by I. M. Barbour and A. T. Davies (University of Glasgow, 1976); A. W. Thomas, in Advances in Nuclear Physics, edited by J. Negele and E. Vogt (Plenum, New York, 1984), Vol. 13.
  • 66
    • 84927209535 scopus 로고
    • The experimental value quoted for σ ( π N) is that obtained in Ref. 33. That paper also discusses the controversy surrounding that value. A more recent discussion of σ ( π N) in the content of quark models can be found in
    • (1982) Yad. Fiz. , vol.35 , pp. 1546
    • Efrosinin, V.P.1    Zaikin, D.A.2
  • 68
    • 84927896217 scopus 로고    scopus 로고
    • In the limit of exact chiral symmetry (mπ=0), Fpi is the only dimensioned parameter. Hence all energies and distances will scale with Fpi or Fπ-1, respectively. Even in the realistic case (mπ!= 0) the effects of the symmetry breaking term on the energy and size are small.


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