Excitation of Nuclear Collective States by Heavy Ions within the Model of Semi-microscopic Optical Potential

X iv :n uc lth /0 51 10 37 v 1 1 5 N ov 2 00 5 EXCITATION OF NUCLEAR COLLECTIVE STATES BY HEAVY IONS WITHIN THE MODEL OF SEMI-MICROSCOPIC OPTICAL POTENTIAL K.M. Hanna1, K.V Lukyanov2, V.K. Lukyanov2, Z.Metawei3 B. S lowi nski4,5, E.V. Zemlyanaya2 1Math. and Theor. Phys. Dept., NRC, Atomi Energy Authority, Cairo, Egypt 2Joint Institute for Nu lear Resear h, Dubna, Russia 3Physi s Department, Fa ulty of S ien e, Cairo University, Giza, Egypt 4Fa ulty of Physi s, Warsaw University of Te hnology, Warsaw, Poland 5Institute of Atomi Energy, Otwo k-Swierk, Poland The (semi-)mi ros opi double-folding nu leus-nu leus opti al potentials are suggested for onsideration of inelasti s attering with ex itation of olle tive nu lear states by using the adiabati approa h and the elasti s attering amplitude in the high-energy approximation. The analyti al expression for inelasti s attering amplitude is obtained keeping the first order terms in the deformation parameter of a potential. Cal ulations of inelasti ross se tions for the 17O heavy ions s attered on different nu lei at about hundred Mev/nu leon are made, and the a eptable qualitative agreement with the experimental data is obtained without introdu ing free parameters. The prospe t of the method for further appli ations is dis ussed. 1 Introdu tion The theory of ex itations of nu lear olle tive states in peripheral nu lear ollisions is based on the elasti s attering opti al potential U(r) = V (r)+iW (r). This latter is used to obtain the transition potential Uint = U (N) int +U (C) int for inelasti hannel. Re ently, in [1℄, the nu leus-nu leus inelasti s attering with ex itation of 2+ rotational states was onsidered in the framework of the high-energy approximation utilizing the phenomenologi alWoodsSaxon type potential. The olle tive variables {αλμ}, whi h hara terize the deformation of the surfa e of a potential, were introdu ed through the radius R = R + δR, δR = R ∑