<p>The hot and rotating isotopes of Z=120 are studied using the statistical model to determine the most probable stable isotopes and investigated their formation and the limiting temperatures. The neutron quasi-magic and magic numbers (N=178 and 184) determined from the point of shape transition, by the influence of rotation at different temperatures, are studied extensively for their thermodynamic characteristics upto the instability temperature. The interplay between level density parameter and neutron separation energy at different temperatures reveal the most probable isotope for synthesis, is <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(^{298}\)</EquationSource> </InlineEquation>120. The occurrence of temperature dependent shape transition emphasizes the feasible temperature for the formation of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(^{298}\)</EquationSource> </InlineEquation>120 is T<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\approx\)</EquationSource> </InlineEquation>1.0-1.1 MeV with E<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{}\)</EquationSource> </InlineEquation> ranging from <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\approx\)</EquationSource> </InlineEquation>36-43 MeV. A novel approach of analyzing <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\Delta\)</EquationSource> </InlineEquation>E<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(^{}\)</EquationSource> </InlineEquation> at increasing temperature explores the thermodynamic influence on the rotating system, which gives the instability temperature at T<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\approx\)</EquationSource> </InlineEquation>3.3 MeV. A higher probability of synthesising <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(^{298}\)</EquationSource> </InlineEquation>120 is predicted with an excitation energy E<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(^{}\approx\)</EquationSource> </InlineEquation>40 MeV at T<InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\approx\)</EquationSource> </InlineEquation>1.0 MeV. Other studies (Wang et al. <CitationRef CitationID="CR22">2012</CitationRef>; Liang et al. <CitationRef CitationID="CR69">2012</CitationRef>; Li et al. <CitationRef CitationID="CR70">2018</CitationRef>) have also shown that, at the same E<InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(^{}\)</EquationSource> </InlineEquation>, for the given choice of targets and projectiles, the compound nucleus <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(^{298}\)</EquationSource> </InlineEquation>120 can be formed; also reported by Oganessian et al. (<CitationRef CitationID="CR6">2009</CitationRef>).</p>

Nuclear Level Density and Thermodynamic Properties of Hot & Rotating Superheavy Nucleus \({}^{298}\)120 Upto the Instability Temperature

期刊论文
发表日期：

2025年12月15日

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M. Geetha,
S. Santhosh Kumar,
G. Suresh

摘要

The hot and rotating isotopes of Z=120 are studied using the statistical model to determine the most probable stable isotopes and investigated their formation and the limiting temperatures. The neutron quasi-magic and magic numbers (N=178 and 184) determined from the point of shape transition, by the influence of rotation at different temperatures, are studied extensively for their thermodynamic characteristics upto the instability temperature. The interplay between level density parameter and neutron separation energy at different temperatures reveal the most probable isotope for synthesis, is \(^{298}\) 120. The occurrence of temperature dependent shape transition emphasizes the feasible temperature for the formation of \(^{298}\) 120 is T \(\approx\) 1.0-1.1 MeV with E \(^{*}\) ranging from \(\approx\) 36-43 MeV. A novel approach of analyzing \(\Delta\) E \(^{*}\) at increasing temperature explores the thermodynamic influence on the rotating system, which gives the instability temperature at T \(\approx\) 3.3 MeV. A higher probability of synthesising \(^{298}\) 120 is predicted with an excitation energy E \(^{*}\approx\) 40 MeV at T \(\approx\) 1.0 MeV. Other studies (Wang et al. 2012; Liang et al. 2012; Li et al. 2018) have also shown that, at the same E \(^{*}\) , for the given choice of targets and projectiles, the compound nucleus \(^{298}\) 120 can be formed; also reported by Oganessian et al. (2009).