Abstract
Two different descriptions of the α -decay process, namely, the shell model rate theory and phenomenological description are emphasized to investigate the α -decay properties of SHN. These descriptions are shortly presented and illustrated by their results. Special attention is given to the shell structure and resonance scattering effects due to which they exist and decay. A first systematics of α -decay properties of SHN was performed by studying the half-life vs. energy correlations in terms of atomic number and mass number. Such a systematics shows that the transitions between even-even nuclei are favored, while all other transitions with odd nucleons are prohibited. The accuracy of experimental and calculated α -half-lives is illustrated by the systematics of these results.
Highlights
Two different descriptions of the α-decay process, namely, the shell model rate theory and phenomenological description are emphasized to investigate the α-decay properties of SHN
These equations define an α-particle of kinetic energy Qα and angular momentum l moving in the potential V(r)
The solutions of the above system describe the radial motion of the fragments at large and small separations, respectively, in terms of the reduced mass of the system m, the kinetic energy of the emitted particle Qα = Qn = E − ED − Eα, the formation amplitude (FA) Ink(r), and the matrix elements of the interaction potential Vnm(r)
Summary
Two different descriptions of the α-decay process, namely, the shell model rate theory and phenomenological description are emphasized to investigate the α-decay properties of SHN. Ink[S M](r) denote the shell model (SM) formation amplitude (FA) of the outgoing αparticle in channel n from the resonance state k.
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