Abstract
A recent controversy about the value of the sigma term in pion-nucleon scattering is reviewed, with particular attention to possible attempts to reconcile the large value of Cheng and Dashen with the (3, 3*) + (3*, 3) chiral symmetry breaking model of Gell-Mann. Grounds for reservations may be found for each one of three mechanisms considered here. Thus we confirm the general belief that the conventional theory of chiral symmetry breaking cannot be easily maintained, unless the value of Cheng and Dashen is given up in favour of a reestimate by Höhler, Jakob and Strauss.
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References
Gell-Mann,M.: Phys. Rev.125, 1067 (1962).
Glashow,S.L., Weinberg,S.: Phys. Rev. Letters20, 224 (1968).
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Renner,B., Sudbery,A.: Nucl. Phys. B13, 27 (1969).
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Cheng,T.P., Dashen,R.F.: Phys. Rev. Letters26, 594 (1971).
Altarelli,G., Cabibbo,N., Maiani,L.: Phys. Letters35B, 415 (1971).
Brandt,R. A., Preparata,G.: Theory of deviations from pion pole dominance. New York University Technical Report 6/71. — Wing-chiu Ng., Vinciarelli,P.: Sum rule for the sigma-term from the Bjorken limit and mass dispersion relations. New York University Technical Report 12/71.
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For the empirical situation compare Carruthers,P.: Phys. Rev. D3, 959 (1971).
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Dedicated to Prof. G. Höhler on his 50th Birthday.
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© 1972 Springer-Verlag
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Renner, B. (1972). On the problem of the sigma terms in meson-baryon scattering comments on recent literature. In: Springer Tracts in Modern Physics, Volume 61. Springer Tracts in Modern Physics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0111098
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DOI: https://doi.org/10.1007/BFb0111098
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