Sequences of single-particle energy levels of even–even SHN with Z = 116−132 based on α-decay systematics

The α-decay half-lives, Tα, for five heavy and nine superheavy even–even nuclei with 84 ≤ Z ≤ 92 and 116 ≤ Z ≤ 132, respectively, have been calculated within the density-dependent cluster model. The α-nucleus potential was derived by employing the double-folding model with a realistic NN interaction whose exchange part has a finite-range. We considered several isotopes for each Z-value. The behavior of log Tα against the neutron number variation for different isotopes of each element is investigated. We found a clear similarity in the behavior of log Tα for the isotopes of a number of successive elements. The proton pair in the emitted α particle, for these elements, comes from the same proton energy level. Also, the behavior of log Tα with the parent neutron number, for different isotopes of an element, was found to be governed by the existence of neutron magic number or neutron-level closure. The possibility to correlate the behavior of log Tα for several isotopes of a specific element with the proton and neutron energy levels of this element is investigated. Moreover, the behavior of log Tα when adding successive proton pairs to fill the energy level at different neutron numbers is studied. This work can be considered as a significant step forward to correlate the behavior of log Tα with the energy levels.