α-nucleus potential for α-decay and sub-barrier fusion

Abstract

The set of parameters for α-nucleus potential is derived by using the data for both the α-decay halflives and the fusion cross-sections around the barrier for reactions α+ 40 Ca, α+ 59 Co, α+ 208 Pb. The α-decay half-lives are obtained in the framework of a cluster model using the WKB approximation. The evaluated α-decay half-lives and the fusion cross-sections agreed well with the data. Fusion reactions between α-particle and heavy nuclei can be used for both the formation of very heavy nuclei and spectroscopic studies of the formed compound nuclei.

Problem of Nuclear Decay by Proton Emission in Fully Quantum Consideration: Calculations of Penetrability and Role of Boundary Conditions

“…Calculations of half-lives of different types of decays based on the semiclassical approach are prevailing today. For example, in [15] agreement between experimental data of  -decay half-lives and ones calculated by theory is demonstrated in a wide region of nuclei from up to nucleus with and (see [16] for some improved approaches). In review [17] methodology of calculation of half-lives for spontaneous-fission is presented (see Equations (21)(22)(23)(24) in p. 321).…”

Time as Quantum Observable, Canonical Conjugated to Energy

“…(Buck et al, 1993) agreement between experimental data of α-decay half-lives and ones calculated by theory is demonstrated in a wide region of nuclei from 106 Te up to nucleus with A d = 266 and Z d = 109 (see Ref. (Denisov & Ikezoe, 2005) for some improved approaches). In review (Sobiczewski & Pomorski, 2007) methodology of calculation of half-lives for 3.…”

Studies on Heavy Particle Decay from 216-226Fr using Different Nuclear Potentials

“…The term k(Z p ε -Z d ε ) represents the screening effect of atomic electrons [17], where k = 8.7eV , ε = 2.517 for Z ≥ 60 and k = 13.6eV, ε = 2.408 for Z < 60. These values have been derived from data reported by Huang et al, [18].…”