A choice of tetrad field corresponding to the normal Riemannian coordinates (NRC) and insertion of the resulting expressions for the Ricci rotation coefficients etc. into conserved vector densities from the Noether theorem (in its tetrad representation) enables the recovery of the full set of the Bel–Robinson superenergy tensor components in vacuum as the only lowest order terms in decompositions of these vector densities in NRC. Hence the Bel–Robinson tensor as a whole can be interpreted as a relative energy-momentum-stress quantity of gravitational field.
Particle mechanics is formulated in terms of symplectic relations and infinitesimal symplectic relations. Generating functions of symplectic relations are shown to be classical counterparts of Green’s functions of wave mechanics.
Using crossing symmetry and derivative helicity relations, we show how the total-absorption model may be generalized to include phase and spin effects.
Upper and lower bounds are obtained on the asymptotic behavior of a class of scattering amplitudes. This class of amplitudes is defined by the following two assumptions: (A) the effective number of partial waves contributing to the scattering is \(L=CS^{1/2}(\ln S)^M\); (B) as \(S \to \infty \), the total cross section has the behavior \(\sigma _{\rm T}=\sigma _0(\ln S)^M\), where \(N \leq 2M\). The results obtained are relevant to elastic neutrino scattering at asymptotic energies.
We show how a discrete mass spectrum for fireballs is consistent with and also a natural explanation for the empirical properties of the energy distributions for pions and gamma rays observed in the experiments of multiple production of hadrons at accelerator and cosmic ray energies. We suggest also that the available data do not support the existence of a limiting temperature of 160 MeV in high energy collisions.
Presently available data on fluctuations of charge transfer across \(y = 0\) and in particular on their energy dependence have serious implications for quark–parton models of multiparticle production. The data indicate that quarks and antiquarks are to a large extent uncorrelated and move rather freely and independently along the rapidity axis before recombining into final state hadrons.
The point of view that weak interactions must have a second threshold below 300–600 GeV is developed. Above this threshold new physics must come in. This new physics may be the Higgs system, or some other nonperturbative system possibly having some similarities to the Higgs system. The limit of large Higgs mass is thought to be relevant in this context. Radiative corrections proportional to \(m^2\) and \(\ln m^2\), \(m\) being the Higgs mass, are calculated. Contemplation of the theory in the limit of large Higgs mass suggests that the “new physics” may contain breakdown of \(\mu \)–\(\bf e\) universality and other than V–A neutrino interactions already at relatively low energies.
The correlations between the particles produced in interactions of hadrons with emulsion nuclei were investigated. The data are in qualitative agreement with the models which describe the interactions with nuclei as subsequent collisions of the fast part of excited hadronic matter inside the nucleus.
The effective interaction energies were deduced from the latest experimental data for \(^{91}\)Nb. The other set of parameters was determined directly from the data for \(^{90}\)Zr. Obtained parameters were compared with those published previously. Using two-body parameters, the energy levels for \(^{90}\)Zr, \(^{91}\)Nb and \(^{92}\)Mo were computed.
