<i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe

In this paper, we present the <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-decay half-lives calculation for selected e...

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Bibliographic Details
Main Authors: Jameel-Un Nabi, Mavra Ishfaq, Ovidiu Niţescu, Mihail Mirea, Sabin Stoica
Format: Article
Language:English
Published: MDPI AG 2019-12-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/1/5
Description
Summary:In this paper, we present the <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-decay half-lives calculation for selected even-even nuclei that decay through electron emission. The kinematical portion of the half-life calculation was performed using a recently introduced technique for computation of phase space factors (PSFs). The dynamical portion of our calculation was performed within the proton-neutron quasiparticle random phase approximation (pn-QRPA) model. Six nuclei (<inline-formula> <math display="inline"> <semantics> <msup> <mrow/> <mn>20</mn> </msup> </semantics> </math> </inline-formula>O, <inline-formula> <math display="inline"> <semantics> <msup> <mrow/> <mn>24</mn> </msup> </semantics> </math> </inline-formula>Ne, <inline-formula> <math display="inline"> <semantics> <msup> <mrow/> <mn>34</mn> </msup> </semantics> </math> </inline-formula>Si, <inline-formula> <math display="inline"> <semantics> <msup> <mrow/> <mn>54</mn> </msup> </semantics> </math> </inline-formula>Ti, <inline-formula> <math display="inline"> <semantics> <msup> <mrow/> <mn>62</mn> </msup> </semantics> </math> </inline-formula>Fe and <inline-formula> <math display="inline"> <semantics> <msup> <mrow/> <mn>98</mn> </msup> </semantics> </math> </inline-formula>Zr) were selected for the present calculation. We compare the calculated PSFs for these cases against the traditionally used recipe. In our new approach, the Dirac equation was numerically solved by employing a Coulomb potential. This potential was adopted from a more realistic proton distribution of the daughter nucleus. Thus, the finite size of the nucleus and the diffuse nuclear surface corrections are taken into account. Moreover, a screened Coulomb potential was constructed to account for the effect of atomic screening. The power series technique was used for the numerical solution. The calculated values of half-lives, employing the recently developed method for computation of PSFs, were in good agreement with the experimental data.
ISSN:2218-1997