Microscopic description of $\alpha$, $2\alpha$, and cluster decays of $^{216-220}$Rn and $^{220-224}$Ra

التفاصيل البيبلوغرافية
العنوان: Microscopic description of $\alpha$, $2\alpha$, and cluster decays of $^{216-220}$Rn and $^{220-224}$Ra
المؤلفون: Zhao, J., Ebran, J. -P., Heitz, L., Khan, E., Mercier, F., Niksic, T., Vretenar, D.
سنة النشر: 2022
المجموعة: Nuclear Theory
مصطلحات موضوعية: Nuclear Theory
الوصف: Alpha and cluster decays are analyzed for heavy nuclei located above $^{208}$Pb on the chart of nuclides: $^{216-220}$Rn and $^{220-224}$Ra, that are also candidates for observing the $2 \alpha$ decay mode. A microscopic theoretical approach based on relativistic Energy Density Functionals (EDF), is used to compute axially-symmetric deformation energy surfaces as functions of quadrupole, octupole and hexadecupole collective coordinates. Dynamical least-action paths for specific decay modes are calculated on the corresponding potential energy surfaces. The effective collective inertia is determined using the perturbative cranking approximation, and zero-point and rotational energy corrections are included in the model. The predicted half-lives for $\alpha$-decay are within one order of magnitude of the experimental values. In the case of single $\alpha$ emission, the nuclei considered in the present study exhibit least-action paths that differ significantly up to the scission point. The differences in alpha-decay lifetimes are not only driven by Q values, but also by variances of the least-action paths prior to scission. In contrast, the $2 \alpha$ decay mode presents very similar paths from equilibrium to scission, and the differences in lifetimes are mainly driven by the corresponding Q values. The predicted $^{14}$C cluster decay half-lives are within three orders of magnitudes of the empirical values, and point to a much more complex pattern compared to the alpha-decay mode.
Comment: 9 pages, 13 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevC.107.034311
الوصول الحر: http://arxiv.org/abs/2211.14135Test
رقم الانضمام: edsarx.2211.14135
قاعدة البيانات: arXiv