The cross-section for the production of the isomeric states in \(^{71}\)Ge, \(^{78}\)Br and \(^{79}\)Br were measured using 14.8 MeV neutrons. The half-lives and energies of these isomeric activities were remeasured for checking the assignments. As a result of the experiment the following values were obtained for the measured activities: \[ \begin {array}{c|c|c|c} \hline \hline \textrm {Target, reaction} & E\, [\mathrm {keV}] & \textrm {Half-life} & \textrm {Cross-sections}\\ \textrm {and isomeric nucleus} & & [\textrm {sec}] & [\textrm {mb}]\\ \hline ^{73}\mathrm {Ge}(n,2n)^{71m}\mathrm {Ge} & 175 & (20.4\pm 1)10^{-1} &487\pm 50\\ ^{79}\mathrm {Br}(n,2n)^{78m}\mathrm {Br} & 150 & (111\pm 10)10^{-6} &(220\pm 40)\ (1+\alpha _{\rm tot})\\ ^{79}\mathrm {Br}(n,n')^{79m}\mathrm {Br} & 208 & 5 &230\pm 30\\ \end {array} \] Experimental results for isomeric ratios in \((n,2n)\) reaction are compared with the statistical theory predictions.
The problem of the experimental consequences of the assumption of the existence of double Regge trajectories is discussed from the point of view of the resonances region as well as the high energy region. Some arguments in favour of such a hypothesis are presented. The finite energy sum rules and Veneziano representation for the double poles are written down and briefly discussed.
J.A. Wheeler’s interpretation of Mach’s Principle and generalization of orthodox General Relativity found by C. Brans and R.H. Dicke are briefly presented. Critical analysis shows that neither Wheeler’s nor the Dicke-Brans theory have much in common with what we are entitled to call Mach’s Principle.
A more complete list of different formulations pretending to play the role of the so-called Mach’s Principle is given and some theorems about the possibility of their realization are proved. A physical theory using for the geometrization of the gravitation a geometry based on the concept of differentiable manifold cannot be entirely Machian.
The energy dependence of the cross sections for the inelastic \(\pi \)–\(p\) collisions is compared with the predictions of the Reggeized multiperipheral model. A good agreement is observed for many reactions. The observed deviations of the experimental points from the calculated curves may be attributed to the production of resonances.
A quark model of the backward scattering in meson–baryon collisions at high energies is proposed. The predictions for the backward \(N^*_{33}\) production in pion–nucleon scattering are given.
The half-lives of some excited states in \(^{151}\)Eu, \(^{149}\)Sm and \(^{147}\)Sm isotopes have been measured with a time-to-amplitude converter. Radiations were detected in plastic scintillators mounted on 56-AVP photomultipliers. The \(El\), \(E2\) and \(M1\) transition probabilities between low-lying excited states are deduced. The results are compared with the predictions of the single particle and the Nilsson models.