abstract

The Lie algebra of the post-Galileian relativity group is constructed and investigated.

abstract

Various dispersion relations techniques have been revisited in order to check the recent conjecture of Jurewicz that the \(u\)-channel exchange of the \({\mit \Delta }\)(1232) governs the dynamics of the \(E^{3/2}_{1+}\) amplitude in the \(\gamma \)N \(\to \pi \)N reaction. The role of crossing symmetry in this process is clarified and both the \(E^{3/2}_{1+}\) and \(M^{3/2}_{1+}\) amplitudes are calculated in a crossing-symmetric model.

abstract

The path-ordered phase factors in nonabelian SU(N) gauge theory are analyzed and relation between the nonabelian Stokes theorem and the Bianchi identities is found.

abstract

Using the group-theoretical methods and the geometrical picture of pure spinors due to Cartan and Chevalley, we give the explicit construction of the manifold of such spinors for the group SO(\(p,q\)).

abstract

The model of cumulative proton and nuclear fragment production based on subsequent account of space-time factors of the process of high-energy particle interaction with nuclei, is formulated. The cumulative proton and fragment sources are the baryon subsystems in this model. These subsystems are formed by recoil nucleons passing through the nuclear matter which are produced by multi-particle process in the nucleus. It is shown that the model satisfactorily reproduces main observable characteristics in a wide range of primary energies and masses of nuclei.

abstract

A model of hypothetical strange matter, self-bound quark matter with strangeness per baryon \(\cong -1\), which might be the true ground state of cold catalyzed matter, is considered. Potential possibilities of production of strange matter in violent processes occurring in the universe are reviewed. Properties of strange stars — astronomical objects built of strange matter — are described and compared to those of normal neutron stars.