<p>This study systematically investigates the decay properties of superheavy nuclei (SHN) with <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(Z = 122\)</EquationSource> </InlineEquation>, focusing on the isotopes <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{307-311}122\)</EquationSource> </InlineEquation> and their decay products. We calculate <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-decay half-lives (<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\log _{10} T_{1/2}\)</EquationSource> </InlineEquation>) using the double folding model (DFM), which incorporates spherical and deformed daughter nuclei shapes, alongside five empirical formulas (VSS, Royer, UNIV, UDL, and mB1). Spontaneous fission (SF) half-lives are compared to identify dominant decay modes. Results reveal that <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(^{307}122\)</EquationSource> </InlineEquation> exhibits a three-<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation> decay chain due to shorter <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-decay half-lives compared to SF. In contrast, <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(^{308}122\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(^{309}122\)</EquationSource> </InlineEquation> each produce a single <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-chain, while <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(^{310}122\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(^{311}122\)</EquationSource> </InlineEquation> decay exclusively via SF, as their <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-decay half-lives exceed SF half-lives. Stability against <InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-decay peaks near magic or semi-magic nucleon numbers. We explore heavy cluster radioactivity (CR) in <InlineEquation ID="IEq19"> <EquationSource Format="TEX">\(^{290-322}122\)</EquationSource> </InlineEquation> isotopes and their decay products. For <InlineEquation ID="IEq20"> <EquationSource Format="TEX">\(^{307-311}122\)</EquationSource> </InlineEquation>, the UDL model identifies modest branching ratios (<InlineEquation ID="IEq21"> <EquationSource Format="TEX">\(\log _{10} b_c &lt; 8\)</EquationSource> </InlineEquation>) indicating cluster emission is less probable than <InlineEquation ID="IEq22"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-decay, unlike neutron-rich <InlineEquation ID="IEq23"> <EquationSource Format="TEX">\(^{314-322}122\)</EquationSource> </InlineEquation>, where <InlineEquation ID="IEq24"> <EquationSource Format="TEX">\(\log _{10} b_c &gt; 8\)</EquationSource> </InlineEquation>. Key factors for probable cluster emissions include magic/semi-magic nucleon numbers in clusters and daughters, and neutron-to-proton ratio of the cluster and its daughter, which, individually or on average, should closely match the <InlineEquation ID="IEq25"> <EquationSource Format="TEX">\(N/Z\)</EquationSource> </InlineEquation> ratio of the parent isotope. These findings, governed by magic and semi-magic effects together with <InlineEquation ID="IEq26"> <EquationSource Format="TEX">\(N/Z\)</EquationSource> </InlineEquation> constraints, offer valuable insights into the decay dynamics of <InlineEquation ID="IEq27"> <EquationSource Format="TEX">\(Z = 122\)</EquationSource> </InlineEquation> and serve as guidance for selecting suitable nuclear pairs in synthesis studies.</p>

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Exploring \(\alpha \)- and Cluster Decay Modes in Superheavy Nuclei with \(Z = 122\)

  • M. Ismail,
  • A. Adel,
  • A. Y. Ellithi,
  • Alaa Khaled

摘要

This study systematically investigates the decay properties of superheavy nuclei (SHN) with \(Z = 122\) , focusing on the isotopes \(^{307-311}122\) and their decay products. We calculate \(\alpha \) -decay half-lives ( \(\log _{10} T_{1/2}\) ) using the double folding model (DFM), which incorporates spherical and deformed daughter nuclei shapes, alongside five empirical formulas (VSS, Royer, UNIV, UDL, and mB1). Spontaneous fission (SF) half-lives are compared to identify dominant decay modes. Results reveal that \(^{307}122\) exhibits a three- \(\alpha \) decay chain due to shorter \(\alpha \) -decay half-lives compared to SF. In contrast, \(^{308}122\) and \(^{309}122\) each produce a single \(\alpha \) -chain, while \(^{310}122\) and \(^{311}122\) decay exclusively via SF, as their \(\alpha \) -decay half-lives exceed SF half-lives. Stability against \(\alpha \) -decay peaks near magic or semi-magic nucleon numbers. We explore heavy cluster radioactivity (CR) in \(^{290-322}122\) isotopes and their decay products. For \(^{307-311}122\) , the UDL model identifies modest branching ratios ( \(\log _{10} b_c < 8\) ) indicating cluster emission is less probable than \(\alpha \) -decay, unlike neutron-rich \(^{314-322}122\) , where \(\log _{10} b_c > 8\) . Key factors for probable cluster emissions include magic/semi-magic nucleon numbers in clusters and daughters, and neutron-to-proton ratio of the cluster and its daughter, which, individually or on average, should closely match the \(N/Z\) ratio of the parent isotope. These findings, governed by magic and semi-magic effects together with \(N/Z\) constraints, offer valuable insights into the decay dynamics of \(Z = 122\) and serve as guidance for selecting suitable nuclear pairs in synthesis studies.