Fusion cross sections for superheavy nuclei in the dinuclear system concept

Abstract

Using the dinuclear system concept we present calculations of production

Solution of Some Differential Equations of Quantum Physics by the Numerical Functional Integration Method

“…We can write this integral for the normalized conditional Wiener measure W (x) with the time interval [0,1]. This measure is connected with the non-normalized measureW (x) by the equality [8] C 0,0,1,0…”

“…Let's consider the application of our method to the calculation of the physical characteristics within the framework of the dinuclear system model [1]. This model presents the mechanism of creation of a compound nucleus in a deeply inelastic collision of heavy ions.…”

“…Expressions for the Helmholz free energy f (β), the ground state energy E 0 , the propagator G(τ ), the wave function |Ψ(x)|, and the energy gap between the ground and the first excited states ∆E can be found in the form of functional integrals with the conditional Wiener measure according to (1), (2) as follows [18]: The wide scope of applications of functional integrals stimulated the development of their theory and methods of numerical evaluation. For a long time the most study had been given to the Wiener integrals, but recently primary consideration has been given to their generalization and to the study of functional integrals with other measures in appropriate spaces [4].…”

Theoretical study of fusion reactions 32S + 94,96Zr and 40Ca + 94,96Zr and quadrupole deformation of 94Zr

“…The study of fusion reaction mechanism is also of fundamental importance for understanding the synthesis of superheavy elements, properties of weakly bound nuclei, and symmetry energy of the nuclear equation of state [8][9][10][11][12][13][14][15][16][17] Up to now, lots of important information about fusion dynamics at energies near the Coulomb barrier, especially at sub-barrier energies, are obtained through experimental and theoretical studies, such as the fusion hindrance phenomenon at extreme low energies-a steep falloff of the fusion cross sections [18][19][20][21][22][23], the role of the neutron transfer effect in the fusion [24][25][26][27], the breakup effect on the fusion reactions process [28][29][30][31][32][33][34][35], etc..…”

Application of the dinuclear system model to fission process

“…These cluster configurations composed of two touching fragments were called dinuclear systems (DNS). Later, the DNS concept was successfully applied to the description of the fusion process which was treated as the evolution of the initially formed DNS in mass asymmetry coordinate [2].…”