A computerized measuring system that includes an IBM PC AT and CAMAC-standard electronic equipment is described. The system makes it possible to measure angular dependences of differential cross sections of nuclear reactions for particles with escape angles in a wide range from 2 degrees to 178 degrees with an experimental error within 7%.
The differential cross sections for the reactions (He-3, d) on Be-9, B-11, C-12,C-13, N-14, and O-16 nuclei are measured in the forward hemisphere within the energy range E(3He) = 22.3-34 MeV. Analysis of these data, as well as those available in the literature, by the method combining some elements of the dispersion-relation approach with the DWBA is performed. It is concluded that proton transfer is a peripheral process, For the case of the pole reaction mechanism, the phenomenological values of nuclear vertex constants and spectroscopic factors are obtained for proton separation from the ground state and low excited states of the residual nucleus.
A new method that combines the distorted-wave Born approximation with the dispersion theory of direct nuclear reactions is proposed for the analysis of cross sections for direct nuclear reactions. This method makes it possible to select purely peripheral processes dominated by the pole mechanism of nucleon transfer. For the most part, reliable spectroscopic information is obtained by studying such reactions. Available data on the reactions A(d, t)B on the Li-7, Be-9, B-10, B-11, C-13, N-14, and F-19 nuclei at E(d) - 8 - 50 MeV are analyzed by means of this method. Analysis reveals that all these reactions are of purely surface nature in the angular range of the main peak in the angular distribution and that, for the target nuclei B-11, C-13, N-14, and (19)E they are dominated by the pole mechanism, The vertex constants and spectroscopic factors of the bound neutron state are obtained for these nuclei, It is shown that the reactions (p, d) on the Li-7, Be-9, and C-13 nuclei at E(d) less than or equal to 18 MeV are not of purely surface nature. Under such conditions, the distorted-wave Born approximation cannot be used to infer reliable spectroscopic information.
An identification function of the form DELTAE(E + 0.472DELTAE)0.73 is implemented. In experiments with a beam of He-3 particles with energy 25.5 MeV, good mass separation is obtained for five groups of nuclear-reaction products (p, d, t, He-3, and alpha). Identification dead time is about 3 musec.
We propose a new microscopic approach to the calculation of the overlap integrals (nuclear matrix elements) of one-nucleon transfer reactions based on their relation to the vertex form factors of the dispersion theory of nuclear reactions. We calculate the vertex form factors, vertex constants, overlap integrals, and spectroscopic form factors for separation of neutrons from 1p-shell nuclei. We use in the calculations the nuclear wave functions of the translationally invariant oscillator shell model and the effective NN potential M3Y, which gives correct values of the vertex constants for most of the considered vertices. We analyze (p,d) and (d,t) reactions at 18 MeV and the (He-3,a) reaction at 40 MeV on the target nucleus C-13.
The angular distributions of the (p, d), (d, t) and(3He, α) reactions on13C have been analysed within the framework of DWBA in which additional information on nuclear vertex constants was introduced. Although all these reactions seem to be similar single nucleon transfer, their mechanism is shown to be quite different and so is the information extracted thereof. While from the (p, d) reactions spectroscopic factors may be extracted unambiguously, from the (d, t) reactions it is possible to obtain directly the values of vertex constants only, which in turn are consistent with those determined by extrapolation of the experimental cross sections of the (p, d) reactions to the pole.
Results are presented which have been obtained by combined analysis of experimental data on differential cross sections and polarisations of elastic scattering of protons from a 13C nucleus at energies of 13.5, 14.5, 16, 16.75 and 17.5 MeV. The analysis was made in terms of the optical model using the phenomenological real potential and the potential of the folding model. A set of energy-dependent optical parameters has been found which gives a better description of the data in the 10-20 MeV range compared with the set found earlier.
Experimental differential cross sections are obtained for the reaction 3He(p,d)pp at proton energy 18.6 MeV. On-shell vertex functions for the /sup 3/He..-->..ppn decay are extracted by extrapolation of differential cross sections to the pole singularity in the costheta plane. These vertex functions are compared with those calculated using the Faddeev equations for a separable Yamaguchi potential.