Effects of deformation on theβ-decay patterns of light even-even and odd-mass Hg and Pt isotopes

Abstract

Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and β-decay half-lives, are studied in neutron-deficient even-even and odd-A Hg and Pt isotopes. The nuclear structure is described microscopically from deformed quasiparticle random-phase approximation calculations with residual interactions in both particle-hole and particle-particle channels, performed on top of a self-consistent deformed quasiparticle Skyrme Hartree-Fock basis. The observed sensitivity of the, not yet measured, GT strength distributions to deformation is proposed as an additional complementary signature of the nuclear shape. The β-decay half-lives resulting from these distributions are compared to experiment to demonstrate the ability of the method.

Shape staggering of midshell mercury isotopes from in-source laser spectroscopy compared with density-functional-theory and Monte Carlo shell-model calculations

“…Early DFT calculations for both even-and odd-mass isotopes mercury isotopes with the SLy4 parameterization achieved a reproduction of the odd-even radius staggering for N > 100, by fitting the pairing strength to the one-particle separation energy of these isotopes [77]. In [78] the shape coexistence in the region was confirmed as a mechanism for the observed radius staggering for the SLy4, Sk3 and SGII parameterizations with fixed gap parameters, although the exact staggering could not be reproduced. In [79], the SLy4 parameterization was again employed, but this time with a pairing strength adjusted to the odd-even staggering of the lead isotopes, leading to a qualitative correct staggering that is off by four neutron numbers.…”

Microscopic calculations of weak decays in superheavy nuclei

“…The GT transition amplitudes in the intrinsic frame connecting the ground state |0 + of an even-even nucleus to one phonon states with energy ω K in the daughter nucleus |ω K (K = 0, 1) are found to be [28][29][30][31][37][38][39][40],…”

“…The GT strength distributions and β-decay half-lives have been studied in the past within this model in various mass regions that include neutron-deficient isotopes in the A ≈ 70 mass region [44,45] and in the lead region [39,46,47]; neutron-rich isotopes in medium-mass [48][49][50][51], and rare-earth nuclei [52]; and f p-shell nuclei [53][54][55]. The sensitivity of the GT strength distributions to different ingredients of the theoretical formalism were studied in those works with especial emphasis on the deformation dependence of the decay properties.…”

Mean-field calculations of charge radii in ground and isomeric states of Cd isotopes

“…Charge radii and their isotopic differences have been shown [31][32][33][34] to be suitable quantities to study the nuclear shape evolution as they can be measured with remarkable precision using laser spectroscopic techniques [1,2]. One of the most noticeable characteristics of the isotopic evolution of charge radii is probably the kink that appears at shell closures.…”