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**Physics Note****Published**

# **Alpha-decay half-life of Hafnium isotopes reinvestigated by a semi-empirical approach**

**O. A. P. Tavares; Emil de Lima Medeiros; M. L. Terranova**

08/24/2020

[**Download PDF **0.4 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbd2ef/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Alpha-decay%20half-life%20of%20Hafnium%20isotopes%20reinvestigated%20by%20a%20semi-empirical%20approach)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>O. A. P. Tavares; Emil de Lima Medeiros; M. L. Terranova</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>24/08/2020</dd>

<dt>Description</dt>
<dd>New estimates of partial $\alpha$-decay half-life, $T_{\!1/2}$, for $^{156\mbox{--}162, 174, 176}$Hf isotopes by a semi-empirical, one-parameter model are given. The used model is based on the quantum mechanical tunneling mechanism through a potential barrier, where the Coulomb, centrifugal and overlapping components to the barrier have been considered within the spherical nucleus approximation. This approach enables to reproduce, within a factor 2, the measured $T_{\!1/2}$ of ground-state to ground-state (gs--gs) $\alpha$-transitions for the artificially produced $^{156\mbox{--}162}$Hf isotopes. Half-life predictions for $\alpha$-transitions from the ground-state of $^{159, 161}$Hf isotopes to the first gamma-excited level of $^{155, 157}$Yb isotopes are reported for the first time. The model also provides $T_{\!1/2}$-values of $(2.43\pm 0.28)\times 10^{16}$~a and $(1.47\pm 0.19)\times 10^{20}$~a for the naturally occurring $^{174}$Hf and $^{176}$Hf isotopes, respectively, in quite good agreement with a number of estimates by other authors. In addition, the present methodology indicates that $^{174, 176}$Hf isotopes exhibit $\alpha$-transition to the first gamma-excited level of their daughter Ytterbium isotopes which half-lives are found $(0.9\pm 0.1)\times 10^{18}$~a and $(0.72\pm 0.08)\times 10^{22}$~a, respectively, with a chance of being measured by improved $\alpha$-detection and $\alpha$-spectrometry methods available nowadays.</dd>

<dt>Year</dt>
<dd>2020</dd>

<dt>Number</dt>
<dd>CBPF-NF-006/20</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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