<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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/6/1/5 |
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| author | Jameel-Un Nabi Mavra Ishfaq Ovidiu Niţescu Mihail Mirea Sabin Stoica |
| author_facet | Jameel-Un Nabi Mavra Ishfaq Ovidiu Niţescu Mihail Mirea Sabin Stoica |
| author_sort | Jameel-Un Nabi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T06:56:00Z |
| format | Article |
| id | doaj.art-3a4c68e464dd4d269ea39f5405ec6216 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-14T06:56:00Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-3a4c68e464dd4d269ea39f5405ec62162022-12-22T02:06:54ZengMDPI AGUniverse2218-19972019-12-0161510.3390/universe6010005universe6010005<i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space RecipeJameel-Un Nabi0Mavra Ishfaq1Ovidiu Niţescu2Mihail Mirea3Sabin Stoica4Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi-23640, District Swabi, Khyber Pakhtunkhwa 23640, PakistanGhulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi-23640, District Swabi, Khyber Pakhtunkhwa 23640, PakistanFaculty of Physics, University of Bucharest, P.O. Box MG11, 077125 Magurele, RomaniaNational Institute of Physics and Nuclear Engineering, P.O. Box MG6, 077125 Magurele, RomaniaNational Institute of Physics and Nuclear Engineering, P.O. Box MG6, 077125 Magurele, RomaniaIn 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.https://www.mdpi.com/2218-1997/6/1/5phase space factors<i>β</i>-decay half-livespn-qrpa modelgamow-teller transitions |
| spellingShingle | Jameel-Un Nabi Mavra Ishfaq Ovidiu Niţescu Mihail Mirea Sabin Stoica <i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe Universe phase space factors <i>β</i>-decay half-lives pn-qrpa model gamow-teller transitions |
| title | <i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe |
| title_full | <i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe |
| title_fullStr | <i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe |
| title_full_unstemmed | <i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe |
| title_short | <i>β</i><sup>−</sup>-Decay Half-Lives of Even-Even Nuclei Using the Recently Introduced Phase Space Recipe |
| title_sort | i β i sup sup decay half lives of even even nuclei using the recently introduced phase space recipe |
| topic | phase space factors <i>β</i>-decay half-lives pn-qrpa model gamow-teller transitions |
| url | https://www.mdpi.com/2218-1997/6/1/5 |
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