Abstract
We present a simple, formally covariant constituent diquark-quark model for the nucleon. The nucleon is assumed to be composed of a scalar diquark and a quark which interact via a quark exchange. Starting from the Bethe-Salpeter equation, the instantaneous approximation leads to a diquark-quark Salpeter equation. In the Mandelstam formalism, the electromagnetic form factors of the nucleon are calculated for momentum transfers up toq 2=−3 (GeV/c)2. A remarkable description of the experimental data is obtained. Especially, the model gives the right value for the proton charge radius, a negative mean square charge radius of the neutron and a qualitative description of the magnetic form factors.
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Anselmino, M., Predazzi, E., Ekelin, S., Fredriksson, S., Lichtenberg, D.B.: Rev. Mod. Phys., Vol.65, No.4, 1199 (1993)
Dziembowski, Z., Metzger, W.J., Van de Walle, R.T.: Z. Phys. C10, 231 (1981)
Fredriksson, S. in: Anselmino, M., Predazzi, E. (eds.): Workshop on Diquarks. Singapore: World Scientific 1989
Ishii, N., Bentz, W., Yazaki, K.: Phys. Lett. B301, 165 (1993)
Ishii, N., Bentz, W., Yazaki, K.: Phys. Lett. B318, 26 (1993)
Huang, S., Tjon, J.: Phys. Rev. C49, 1702 (1994)
Buck, A., Alkofer, R., Reinhardt, H.: Phys. Lett. B286, 29 (1992)
Hanhart, C., Krewald, S.: Phys. Lett. B344, 55 (1995)
Lichtenberg, D.B.: Phys. Rev.178, 2197 (1969)
see also: Goldstein, G.R., Maharana, J.: Il Nuovo Cim.59 A, Vol. 4, 393 (1980)
Vogl, U.: Z. Phys. A337, 191 (1990)
Weiss, C., Buck, A., Alkofer, R., Reinhardt, H.: Phys. Lett. B312, 6 (1993)
Hellstern, G., Weiss, C.: Phys. Lett. B351, 64 (1995)
Cahill, R.T., Roberts, C.D., Praschifka, J., Phys. Rev. D36, 2804 (1987)
Meyer, H.: Phys. Lett. B337, 37 (1994)
Kroll, P., Schürmann, M., Schweiger, W.: Z. Phys. A338, 339 (1991)
Anselmino, M., Kroll, P., Pire, B.: Z. Phys. C36, 89 (1987)
Münz, C.R., Resag, J., Metsch, B.C., Petry, H.R.: Phys. Rev. C52, 2110 (1995)
Salpeter, E.E., Bethe, H.A.: Phys. Rev.84, 132 (1951)
Nakanishi, N.: Suppl. Theor. Phys., Suppl. No.95, 1 (1988)
Salpeter, E.E.: Phys. Rev.87, 328 (1952)
Resag, J., Münz, C.R., Metsch, B.C., Petry, H.R.: Nucl. Phys. A578, 397 (1994)
Mandelstam, S.: Proc. Roy. Soc.233, 248 (1955)
Lurie, D.: Particles and Fields. New York: Wiley-Interscience 1968
Bjorken, J.D., Drell, S.D.: Relativistic Quantum Mechanics. New York: McGraw-Hill 1964
Weise, W. in: Weise, W. (ed.): Quarks and Nuclei. Singapore: World Scientific 1984
Höhler, G. et al.: Nucl. Phys. B114, 505 (1976)
Simon, G.G., Schmitt, C., Walther, V.H.: Nucl. Phys. A333, 381 (1980)
Hanson, K.M. et al.: Phys. Rev. D8, 753 (1973)
Bartel, W. et al.: Nucl. Phys. B58, 429 (1973)
Itzykson, C., Zuber, J.-B.: Quantum Field Theory. New York: McGraw-Hill 1980
Keiner, V.: Z. Phys. A352, 215 (1995)
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