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Poincaré gauge theory is treated such that a translational gauge field is actually identified with the Einstein’s gravitational field and the Lorentz gauge field is thought of as a pair of Yang–Mills-like field and its partner. An exact solution is investigated in this model, which is similar to the Wu–Yang solution in Yang–Mills theory. As a result, a solution is found. According to Kalb’s ansatz, the ‘‘Yang–Mills parts’’ of the solution are interpreted as ‘‘electric’’ and ‘‘magnetic’’ fields that are created by a point source with a unit ‘‘magnetic’’ charge and a certain ‘‘electric’’ charge. The translational gauge field then gives the Reissner–Nordström space-time.

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We relate the hyperon polarizations in proton-proton and proton-nucleus collisions to the leading particle effect and use the constituent quark-diquark cascade model with SU(6) wave function. We assume that the quantization axis is characterized by the production normal of the leading baryon of the most massive cascade chain and the incident valence diquark tends to pick up a spin down sea quark or conversely a sea diquark preferentially combines with the spin up incident valence quark to form a leading baryon as compared with the spin down valence quark.