The renormalization group is applied to analyze deep inelastic electron–proton scattering. The connection between renormalization group techniques and parton-model is also discussed.
Large \(p_{\bot }\) single particle and single jet cross sections according to QCD perturbation theory are calculated with parton transverse momenta taken into account. Good agreement is found with data at transverse momenta from 3 GeV/\(c\) up to 16 GeV/\(c\). The inclusion of parton transverse momenta is essential to obtain agreement with data at intermediate energies \(\sqrt {s}\simeq \) 20 to 30 GeV.
It has been discussed in this note that all the observable particles belonging to a given baryonic multiplet possess an important invariance property which demands that only fifteen out of the twenty \(1/2^+\) baryons predicted by the SU(4) symmetry can occur in nature. This note claims that the \(1/2^+\) charmed baryons C\(^{++}_1\), C\(^+_1\), C\(^0_1\), X\(^{++}_{\rm u}\) and X\(^{++}_{\rm d}\) do not exist in nature and as such these particles can never be observed. This claim is in conformity with the so far available experimental information on the \(1/2^+\) charmed baryons.
The asymmetry between average charged multiplicities in the forward and backward cm. hemispheres is studied in \(\pi ^-\)p interactions at 40 GeV/\(c\). Also the asymmetry in the spectra of secondary pions \(d\sigma _{\pi }/dP_{\Vert }\) is examined. Both phenomena are found to have practically the same dependence on \(n_{\rm ch}\) and \(P_{\bot }\). This is indicative of their common origin.
Based on the analysis of data on the cumulative meson production, production of muon pairs and of particles with large transverse momenta on nuclei, it is shown that the mechanism of coherent interaction of hadrons with nucleon tubes is not realized.
A new variant is proposed for the space-time model of cumulative processes in which the hypothesis of scale invariance is changed to the hypothesis of identity of the invariant inclusive cross sections in hadron–hadron and hadron collective interactions at equal mass of the intermediate system. Exrer ments are discussed which would prove that assumption.
The Coulomb disintegration of relativistic \(^{12}\)C ions into three \(\alpha \)-particles has been considered. The basic assumption of the dissociation mechanism is that a preliminary excitation of the carbon ion is followed by its decay into three \(\alpha \)-particles. The total cross section of such reactions have been calculated as well as the energy distribution of secondary \(\alpha \)-particles.
It is well known that the OZI rule is not an exact rule and, in fact, it is subjected to violations (sometimes very serious) in varying degrees in all cases without a single exception. This fact does not enable one to explain the complete absence of the OZI rule forbidden decay modes \(\psi (3100)\pi \pi \), \(\psi (3100)\eta \), \(\psi (3100)\gamma \gamma \), \(\psi (3100)\pi \), 5\(\pi \), \(\omega \pi \pi \) in \(\psi ^{\prime \prime }\)(3770)-decay. In this note it has been pointed out that the complete absence of the modes mentioned above in \(\psi ^{\prime \prime }\)-decay is due to the fact that they are forbidden by the pseudo-dimensionality based selection rule (abbreviated as pseudo-dimension rule).
