Kupczynski, Marian

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RELATIVISTIC QUARK-MODEL PREDICTIONS FOR THE TRANSVERSITY AMPLITUDES

P. Kielanowski and M. Kupczynski, Nuclear Physics B29 (1971) 504-514

The relations between the transversity amplitudes following from the relativistic quark model for high-energy and small-angle scattering are obtained.

Quark Model Predictions for the Transversity Amplitudes

M. Kupczyński, Acta Phys. Pol. B 1, 301 (1970)

A simple derivation of the quark model relations between the transversity amplitudes is given. The problem of the choice of the spin reference frame in which the additivity assumption holds is discussed . It is shown that all these quark model relations can be obtained from some simple geometrical postulates.

Generalized Statistical Tensors and Their Applications

P. Kielanowski, M. Kupczyński, Acta Phys. Pol. B 2, 191 (1971)

Measurable quantities, called generalized statistical tensors, which are functions of the reaction amplitudes, are introduced and investigated. Their role in the full experimental check of theoretical predictions between the amplitudes Is discussed. As an example the polarizations predictions following from the additivity assumption in the quark model are investigated.

On the Generalized Saletan Contractions

M.Kupczynski, Commun. math. Phys. 13, 154-—162 (1969)

Lie algebra contractions are important in physics. The generalized Saletan contractions leaving some subalgebra unchanged are investigated. Using a simple basis we derive the necessary and sufficient conditions for these contractions and the brackets of the contracted algebra which are expressed by the structure constants of the algebra to be contracted. Many basis independent results are derived. Some of them give as a special case Saletan results

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