Experimental $α$-decay half-life, spin, and parity of 398 nuclei in the range 50$\leq$Z$\leq$118 are utilized to propose a new formula (QF) with only 4 coefficients as well as to modify the Tagepera-Nurmia formula with just 3 coefficients (MTNF) by employing nonlinear regressions. These formulas, based on reduced mass ($μ$) and angular momentum taken away by the $α$-particle, are ascertained very effective for both favoured and unfavoured $α$-decay in addition to their excellent match with all (Z, N) combinations of experimental $α$-decay half-lives. After comparing with similar other empirical formulas of $α$-decay half-life, QF and MTNF formulas are purported with accuracy, minimum uncertainty and deviation, dependency on least number of fitted coefficients together with less sensitivity to the uncertainties of $Q$-values. The QF formula is applied to predict $α$-decay half-lives for 724 favoured and 635 unfavoured transitions having experimentally known $Q$-values. Moreover, these available $Q$-values are also employed to test various theoretical approaches viz. RMF, FRDM, WS4, RCHB, etc. along with machine learning method XGBoost for determining theoretical $Q$-values, incisively. Thereafter, using $Q$-values from the most precise theoretical treatment mentioned above along with the proposed formulas, probable $α$-decay chains for Z$=$120 isotopes are identified.
$β$-Decay Half-Lives Serve as Novel Evidence for the New Magic Number \(N=32\)
School of Nuclear Science and Technology, Lanzhou University（兰州大学核科学与技术学院）；Frontiers Science Center for Rare isotopes, Lanzhou University（兰州大学稀有同位素前沿科学中心）；Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所）；Department of Nuclear Physics, China Institute of Atomic Energy（中国原子能科学研究院核物理系）；School of Physics and Optoelectronic Engineering, Anhui University（安徽大学物理与光电工程学院）
Weak decays in superheavy nuclei with proton numbers Z = 118 - 120 and neutron numbers N = 175 - 184 are studied within a microscopic formalism based on deformed self-consistent Skyrme Hartree-Fock mean-field calculations with pairing correlations. The half-lives of beta+ decay and electron capture are compared with alpha-decay half-lives obtained from phenomenological formulas. The sensitivity of the half-lives to the unknown Q-energies is studied by comparing the results obtained from different approaches for the masses. It is shown that alpha-decay is always dominant in this mass region. Th…
Decay modes in Pb isotopes within the range 176$\leq$A$\leq$266 are investigated by the calculation of half-lives using several empirical formulas. These formulas along with various theoretical treatments are first tested to reproduce experimental half-lives and known decay modes of Pb isotopes, which are in consequence applied to estimate half-lives and decay modes of unknown Pb isotopes. A comparison between $α$-decay and weak-decay from the stable to drip-line isotopes is canvassed which leads to the excellent match with experimental data and applicability of applied empirical formulas. In …
In the unknown territory of transfermium nuclei, the relativistic mean-field (RMF) theory has been applied to probe decay modes which include $α$-decay, spontaneous fission (SF), and a less explored weak-decay. These decay modes are analyzed on equal footing for 101$\leq$Z$\leq$109 and as a consequence, the half-lives for weak-decay are indeed found comparable for several isotopes. Our prediction of decay modes and half-lives are found in excellent agreement with available experimental decay modes and half-lives along with the results of some other theories. Out of $α$, $β^+$/EC, $β^-$, and SF…
The calculations of the alpha decay half-lives of some Polonium isotopes in the mass range 186 - 218 have been carried out using the Wentzel-Kramers-Brillouin (WKB) semiclassical approximation. The alpha-nucleus effective potential used contains the Coulomb potential, centrifugal potential, and the nuclear potential. The nuclear potential is obtained via the double folding model, with the microscopic NN effective interactions derived from relativistic mean field theory Lagrangian (termed R3Y). Different parametrizations of the R3Y interactions have been employed in the computation of the nucle…
Alpha decay favoured isotopes of some superheavy nuclei: Spontaneous fission versus alpha decay
自发裂变和α衰变是超重核的主要衰变方式。与自发裂变半衰期相比，具有较小α衰变半衰期的超重核将在裂变中存活，并且可以通过α衰变在实验室中检测到。我们研究了Z = 100-130原子范围内的一些超重元素的α衰变半衰期和自发半衰期。超重核的自发裂变半衰期已经用唯象公式计算，α衰变半衰期用Viola-Seaborg-Sobiczewski公式（Sobiczewski et al. 1989）、Brown（1992）的半经验关系式和Dasgupta-Schubert and Reyes（2007）基于广义液滴模型的公式计算。结果报告于此。
The feasibility of alpha and cluster decay from Pt isotopes has been investigated within the framework of Skyrme Hartree-Fock-Bogoliubov theory. Calculation has been carried out for various Skyrme forces. Harmonic oscillator and transformed harmonic oscillator basis are used to solve HFB equations. The role played by shell closure is withal analysed. Half-lives are estimated with the help of Universal Decay Law (UDL). Geiger-Nuttel plots are also plotted and successfully preserves its linear nature.
First-forbidden $\mathbfβ$-decay rates, energy rates of $β$-delayed neutrons and probability of $β$-delayed neutron emissions for neutron-rich nickel isotopes
Weak decays in heavy nuclei with charge numbers Z=101-109 are studied within a microscopic formalism based on deformed self-consistent Skyrme Hartree-Fock mean-field calculations with pairing correlations. The half-lives of beta+ decay and electron capture are compared with alpha-decay half-lives obtained from phenomenological formulas. Transfermium isotopes of Md, No, Lr, Rf, Db, Sg, Bh, Hs, and Mt that can be produced in the frontier of cold and hot fusion-evaporation channels are considered. Several isotopes are identified whose beta+/EC- and alpha-decay half-lives are comparable. The compe…
Evaluated $2β^{-}(2ν)$ half-lives and their systematics were reexamined in the framework of a phenomenological approach. Decay rate dependence on nuclear deformation, decay energy, shape coexistence, and forbidden transitions was observed. The following analysis showed distinct impacts of decay energy on half-lives and deformation parameters on effective nuclear matrix elements. These findings were used to predict $T_{1/2}$ for 36 isotopes of interest. Present work results were compared with published data.
