Beta Decay Properties of Waiting-Point N = 50 and 82 Isotopes
We performed the microscopic calculation of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi></mrow></semantics></math></inline-formula>-decay properties for wa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-05-01
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| Series: | Particles |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2571-712X/8/2/56 |
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| Summary: | We performed the microscopic calculation of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi></mrow></semantics></math></inline-formula>-decay properties for waiting-point nuclei with neutron-closed magic shells. Allowed Gamow–Teller (GT) and first-forbidden (FF) transitions were simulated using a schematic model (SM) for waiting-point N = <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>50</mn><mo>,</mo><mn>82</mn></mrow></semantics></math></inline-formula> isotopes in the framework of a proton–neutron quasiparticle random phase approximation (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mi>n</mi></mrow></semantics></math></inline-formula>-QRPA). The Woods–Saxon (WS) potential basis was used in our calculations. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mi>n</mi></mrow></semantics></math></inline-formula>-QRPA equations of allowed (GT) and (FF) transitions were utilized in both the particle–hole (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mi>h</mi></mrow></semantics></math></inline-formula>) and particle–particle (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mi>p</mi></mrow></semantics></math></inline-formula>) channels in the SM. We solved the secular equations of the GT and FF transitions for eigenvalues and eigenfunctions of the corresponding Hamiltonians. A spherical shape was assigned to each waiting-point nucleus in all simulations. Significantly, this study marks the first time that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi></mrow></semantics></math></inline-formula>-decay analysis has been applied to certain nuclei, including <sup>82</sup><i>Ge</i><sub>50</sub>, <sup>83</sup><i>As</i><sub>50</sub>, <sup>84</sup><i>Se</i><sub>50</sub>, <sup>85</sup><i>Br</i><sub>50</sub> and <sup>87</sup><i>Rb</i><sub>50</sub> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>50</mn></mrow></semantics></math></inline-formula> isotones, and <sup>132</sup><i>Sn</i><sub>82</sub>, <sup>133</sup><i>Sb</i><sub>82</sub>, <sup>134</sup><i>Te</i><sub>82</sub>, <sup>135</sup><i>I</i><sub>82</sub> and <sup>137</sup><i>Cs</i><sub>82</sub> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>82</mn></mrow></semantics></math></inline-formula> isotones. Since there is no prior theoretical research on these nuclei, this work is a unique addition to the field. We compared our results with the previous calculations and measured data, and our calculations agree with the experimental data and the other theoretical results. |
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| ISSN: | 2571-712X |