Abstract
Via the additivity assumption, the model of baryon structure formulated by Isgur and Karl is applied to quasi-two-body meson-baryon scattering. The model offers no improvement over the strictSU (6) case, nor will other configuration-mixing models which do not alter the relative weight of the two diquark components of the nucleon. The features of the Isgur-Karl model are compared to those of a diquark model which has been successful in this area.
Similar content being viewed by others
References
N. Isgur, G. Karl: Phys. Rev.D18, 4187 (1978); Phys. Rev.D19, 2653 (1979); Phys. Rev.D20, 1191 (1979) and references cited therein; N. Isgur: Lectures at the XIV International School of Subnuclear Physics, Erice, Italy, 1978 (unpublished)
Quite recently the model has also been used in another dynamical field, namely to predict the baryon pseudoscalar and photon couplings. See R. Koniuk, N. Isgur: Phys. Rev.D21, 1868 (1980)
M. Zralek et al.: Phys. Rev.D19, 820 (1979)
A. De Rujula, H. Georgi, S.L. Glashow: Phys. Rev.D12, 147 (1975); T. De Grand, R.L. Jaffe, K. Johnson, J. Kiskis: Phys Rev.D12, 2060 (1975)
For related work see D. Gromes, I.O. Stamatescu: Nucl. Phys.B112, 213 (1976); W. Celmaster: Phys. Rev.D15, 139 (1977); D. Gromes: Nucl. Phys.B130, 18 (1977); D. Gromes: Nucl.B131, 80 (1977); E. Ellwanger: Nucl. Phys.B139, 422 (1978); A Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal: Phys. Rev.D18, 1591 (1978)
R.D. Carlitz, S.D. Ellis, R. Savit: Phys. Lett.68B, 443 (1977); N. Isgur: Acta Phys. Polon.B8, 1081 (1977)
G. Alexander, H.J. Lipkin, F. Scheck: Phys. Rev. Lett.17, 412 (1966)
H.J. Lipkin, F. Scheck: Phys. Rev. Lett.18, 347 (1967)
E. Hirsch et al.: Phys. Lett.36B, 139 (1971); E. Hirsch, U. Karshon, H.J. Lipkin: Phys. Lett.36B, 385 (1971)
J.C. Kluyver et al.: Nucl. Phys.B140, 141 (1978); G.G. Massaro: thesis University of Amsterdam, 1978 (unpublished)
J.P. Ader et al.: Nucl. Phys.B82, 237 (1974)
H.J. Lipkin: Nucl. Phys.B20, 652 (1970)
For details see [12] and H.J. Lipkin: Phys. Rev.183, 1221 (1969); A. Krzywicki, A. Le Yaouanc: Nucl. Phys.B14, 246 (1969) In general, the operator T″ is multiplied by a Wigner rotation. It is not difficult to prove that our predictions in the transversity frame are not affected by the Wigner rotations. We have therefore omitted them from (5)
The validity of this assumption is discussed in H. Lipkin: Phys. Rep.8C, 174 (1973)
N. Isgur, G. Karl, and R. Koniuk: Phys. Rev. Lett.41, 1269 (1978); See also [1]
S.O. Holmgren et al.: Nucl. Phys.B119, 261 (1977); G.G. Massaro et al.: Phys. Lett.66B, 385 (1977); F. Marzano et al.: Nucl. Phys.B123, 203 (1977)
M.J. Losty et al.: Nucl. Phys.B133, 38 (1978); M. Aguilar-Benitez et al.: Nucl. Phys. B124, 189 (1977). The 207-1 is derived using isospin relations from the data for 207-2
S.U. Chung et al.: Phys. Rev.D12, 693 (1975)
J.A.J. Matthews et al.: Phys. Rev. Lett.26, 400 (1971)
A. Bialas, K. Zalewski: Phys. Lett.26B, 180 (1968), Nucl. Phys.B6, 449, 465, 478 (1968).
E.g., K. Böckmann et al.: Phys. Lett.28B, 72 (1963); M. Aderholz et al., Nucl. Phys.B8, 503 (1968); A. Kotanski, K. Zalewski: Nucl. Phys.B13, 119 (1969); H. Friedman, R.R. Ross: Phys. Rev. Lett.22, 152 (1969); W. De Baere et al.: Nuovo Cimento56, 397 (1969); B. Haber et al.: Nucl. Phys.B17, 289 (1970)
D.B. Lichtenberg, L.J. Tassie, P.J. Keleman: Phys. Rev.167, 1535 (1968); J. Carroll, D.B. Lichtenberg, J. Franklin: Phys. Rev.174, 1681 (1968); D.B. Lichtenberg: Phys. Rev.178, 2197 (1969) For an updated review of the diquark model see R.T. Van de Walle, Subnuclear Physics Series, Ed. A. Zichich, Vol. 17, “Point-like Structure Inside and Outside Hadrons”, 1979 (to be published)
M. Zralek: University of Nijmegen Internal Report No. HEN-172, 1978 (unpublished)
Z. Dziembowski, W.J. Metzger, R.T. Van de Walle: Z. Phys. C—Particles and Fields9, 93 (1981)
A. Capella et al.: Z. Phys. C—Particles and Fields3, 329 (1980)
H.J. Lipkin: Phys. Lett.B35, 534 (1971)
A. Le Yaouanc, L. Oliver, O. Pene, J.C. Raynal: Phys. Rev.D12, 2137 (1975); Phys. Rev.D13, 1519 (E) (1976); Phys. Rev.D15, 844 (1977)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dziembowski, Z., Metzger, W.J. & Zralek, M. Can the Isgur-Karl model be successfully applied to meson-baryon two-body reactions?. Z. Phys. C - Particles and Fields 14, 201–207 (1982). https://doi.org/10.1007/BF01571819
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01571819