The conditions are given which guarantee a complete dispersion of the \(n\)-particle system in the dynamics with retardations. The theorems concerning the behaviour of the \(n\)-particle system in the Post-Newtonian approximation are proved.
The planar one-loop amplitude of the dual resonance model gives a first-order correction to the Regge trajectory. The analytic structure of this correction is investigated and its asymptotic behaviour calculated. The problem of analytic continuation into the right half-plane is discussed.
The complete set of kinematic constraints on the regularized helicity amplitudes (RHA) for \(\overline {1}+0 \to 1/2+\overline {1}/2^{\prime }\) reactions is given. All interesting external mass configurations are covered and both parities of the reaction are taken into account.
The topological cross sections and some characteristics of the multiplicity distribution for central diffractive production via double pomeron exchange are discussed.
Charge transfer distribution in neutral cluster model of high-energy particle production is analyzed. Quigg and Thomas relation is derived for a realistic cluster decay distribution. The comparison with experimental data shows the agreement with the isotropic decay of clusters. Previous discrepancies are shown to be caused by neglecting the effects of non-zero initial charges.
Possibilities of obtaining information from the coherent production process \(\pi d \to (3\pi )d\) about the diffractive dissociation process on nucleons \(\pi {\rm N} \to (3\pi )\)N and the \((3\pi )-\)N elastic scattering are studied.
A parametrization of the missing mass distribution in an inclusive process \(a+b\to c+X\) is proposed in terms of the variable \(\xi =\frac {M}{\sqrt {s}-m_c}\) (\(m_c\) being the mass of the inclusive particle \(c\)). On the basis of \(K^++p \to K^0+X\), \(K^++p \to \pi ^++(K^0+X\)), \(K^++p \to \pi ^-+(K^0+X)\) data at 5 and 8.2 GeV/\(c\), it is found that the distribution \(\frac {1}{\langle n_c \rangle }\frac {d\sigma }{d\xi }\) scales better than the Feynman invariant cross-section and has a simple exponential form.
It has been found that the Gribov vertices (i.e. the fixed pole residua) which control the strengths of the two Pomeron cut contributions are very sensitive to details of the asymptotic form of the Pomeron-particle amplitude. Assuming that it is the two Pomeron cut which is responsible for an apparent lack of evidence for an effective triple Pomeron zero, an estimate of the Gribov vertices and their effect on the total pp cross-section has been made.
The quasielastic (\(e,e'\)p) cross section has been derived taking into account the Coulomb distortion of electrons in the framework of the high energy approximation. In comparison with the plane wave approach, in the usual kinematics, the \(d^4\sigma \) cross section of the \(^{40}\)Ca \((e,e'\)p) reaction increases in magnitude by 10–20% due to the electron distortion and decreases 3–4 times due to the inclusion of the proton optical potential. Then if one takes into account the diffuseness of nuclei in the hole-state dynamic-potential model, the \(d^4\sigma \) cross section relatively increases 2–3 times in the energy range of 1p- and 1s-peaks.
Energies, wave functions, and \(M1\) electromagnetic transition widths have been calculated for \(^{120}\)Sn and \(^{208}\)Pb with the use of the Saxon–Woods potential and of “realistic” residual forces. The excitations within three neighbouring oscillator shells have been taken into account. Excited states \(J^{\pi }=1^+\) in the energy region 3.2–20.7 MeV have been obtained. They can be called spin vibration states, consisting mainly of excitations within one oscillator shell.
The interactions of 9 GeV protons with lead nuclei have been investigated using stacks of nuclear emulsions interlayed with lead foils. The obtained experimental data about the number, nature, and energy of product nuclei have been analysed using the cascade-evaporation model and the radiochemical data for comparison.
Angular distributions of deuterons from the \(^{14}\)N(\(\alpha \),d)\(^{16}\)O reaction were measured. The analysis was made in terms of two-nucleon stripping DWBA theory using shell model wave functions of initial and final nuclei.
The method of formal series can be applied to solving the variable phase equation for partial amplitude, to relativistic potential, theory and quasipotential approaches. The partial amplitude is represented by the ratio of two power series of the coupling constant.
Excitation curves for (n,2n) reactions on the target nuclei \(^{71}\)Ga, \(^{75}\)As, \(^{80}\)Se, \(^{82}\)Se, \(^{118}\)Sn and for (n,p) reactions on the target nuclei \(^{71}\)Ga, \(^{75}\)As, \(^{117}\)Sn, as well as for the \(^{117}\)Sn (n,n\(^{\prime }\)) \(^{118}\)Sn reaction were measured in the neutron energy range 13–18 MeV. The results obtained were compared with the predictions of the compound nucleus and precompound emission models.
The spontaneous fission and alpha-decay half-lives of doubly-even superheavy nuclei with \(Z \approx \) 154–164 are calculated microscopically. The beta stability is also investigated. The longest total half-lives of the order of \(10^5\)–\(10^7\) years are obtained for nuclei in the neighbourhood of doubly magic nucleus \(^{472}\)(164).
