Improved Nearside-Farside Decomposition of Elastic Scattering Amplitudes

A simple technique is described, that provides improved nearside-farside (NF) decompositions of elastic scattering amplitudes. The technique, involving the resummation of a Legendre partial wave series, reduces the importance of unphysical contributions to NF subamplitudes, which can arise in more conventional NF decompositions. Applications are made to a strong absorption model and to a $^{16}$O + $^{12}$C optical potential at $E_{\text{lab}} = 132$ MeV.Comment: 5 pages, 2 figure

Refractive elastic scattering of carbon and oxygen nuclei: The mean field analysis and Airy structures

The experimental data on the $^{16}$O$+^{12}$C and $^{18}$O$+^{12}$C elastic scatterings and their optical model analysis are presented. Detailed and complete elastic angular distributions have been measured at the Strasbourg Vivitron accelerator at several energies covering the energy range between 5 and 10 MeV per nucleon. The elastic scattering angular distributions show the usual diffraction pattern and also, at larger angles, refractive effects in the form of nuclear rainbow and associated Airy structures. The optical model analysis unambiguously shows the evolution of the refractive scattering pattern. The observed structure, namely the Airy minima, can be consistently described by a nucleus-nucleus potential with a deep real part and a weakly absorptive imaginary part. The difference in absorption in the two systems is explained by an increased imaginary (mostly surface) part of the potential in the $^{18}$O$+^{12}$C system. The relation between the obtained potentials and those reported for the symmetrical $^{16}$O$+^{16}$O and $^{12}$C$+^{12}$C systems is drawn.Comment: 10 pages, 9 figures, Phys. rev. C in pres

Airy-like patterns in heavy ion elastic scattering

A semiclassical analysis of an optical potential cross section is presented. The cross section considered is characterized by the appearance of an Airy-like pattern. This pattern is similar to that which is present in many cross sections, which fit the recent measurements of light heavy ion elastic scattering, and is considered as a manifestation of a rainbow phenomenon. The semiclassical analysis shows that, in the case considered, the oscillations arise from the interference between the contributions from two different terms of a multi-reflection expansion of the scattering function, and, therefore, cannot be associated with the rainbow phenomenon.Comment: 10 pages, 5 figure

INSTRUMENTS OF LEVELING OF THE ECONOMIC DEVELOPMENT OF THE SVERDLOVSK OBLAST TERRITORIES: THEORY AND PRACTICE

The problem of leveling of the economic development of territories has become more important on the inter-regional level as well as in the region, in Sverdlovsk Oblast, in particular. The article considers the following procedures of evaluation of municipalities’ development that are used in the Sverdlovsk Oblast: the procedure of rating evaluation of municipalities concerning their level of economic potential and dynamics of development; the procedure of evaluation of municipalities’ competitive capacity and the procedure of evaluation of the level of life of the population which the Oblast is trying to use at present. Besides, the article discusses in details instruments used in leveling of municipalities’ development while performing the reform of local government in the Russian Federation

Do exotic alpha-cluster states in 12 C show signatures of alpha-condensate structure? Analysis of recent data on the a -particle inelastic scattering

The diffraction model, DWBA and the Coupled Reaction Channels analysis of the novel data of α + 12C elastic and inelastic (to the states 4.44, 7.65 and 9.64 MeV) scattering in full angular range at an incident energy of 110 MeV is presented. The diffraction radii for the ground and the first excited (4.44 MeV) states are found to be equal. The diffraction radii for the 7.65 and 9.64 MeV states are enhanced by 0.5–0.8 fm. This result shows that the radius of the Hoyle’s 0+ 2 , 7.65 MeV state in 12C is larger by a factor of ∼ 1.2 - 1.3 than that of the ground state. It is demonstrated that the direct transfer of 8Be dominates at large angles in all four reactions reported here and that the relative angular momentum L=0 corresponding to the transfer of 8Be in its ground state 0+ has predominant probability for the 0 + 2 state in comparison with the ground state of 12C. Evidence of existence of some features of alpha-condensed structure of the Hoyle’s 0+ 2 state in 12C was obtained, particularly, its enhanced radius and large contribution of alpha-particle configuration with L =

Do exotic alpha-cluster states in 12 C show signatures of alpha-condensate structure? Analysis of recent data on the a -particle inelastic scattering

The diffraction model, DWBA and the Coupled Reaction Channels analysis of the novel data of α + 12C elastic and inelastic (to the states 4.44, 7.65 and 9.64 MeV) scattering in full angular range at an incident energy of 110 MeV is presented. The diffraction radii for the ground and the first excited (4.44 MeV) states are found to be equal. The diffraction radii for the 7.65 and 9.64 MeV states are enhanced by 0.5–0.8 fm. This result shows that the radius of the Hoyle’s 0+ 2 , 7.65 MeV state in 12C is larger by a factor of ∼ 1.2 - 1.3 than that of the ground state. It is demonstrated that the direct transfer of 8Be dominates at large angles in all four reactions reported here and that the relative angular momentum L=0 corresponding to the transfer of 8Be in its ground state 0+ has predominant probability for the 0 + 2 state in comparison with the ground state of 12C. Evidence of existence of some features of alpha-condensed structure of the Hoyle’s 0+ 2 state in 12C was obtained, particularly, its enhanced radius and large contribution of alpha-particle configuration with L =