We study the shell closure, alpha-decay and cluster-decay (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">$^{8}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>8</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Be, <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$^{12}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>12</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C, <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$^{14}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>14</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C, <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$^{16}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>16</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>O) of even-even <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$^{238\text {--}338}\textrm{Hs}_{108}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>238</mn> <mtext>--</mtext> <mn>338</mn> </mrow> </mmultiscripts> <msub> <mtext>Hs</mtext> <mn>108</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> isotopes using relativistic mean field (RMF) model within an axially deformed oscillator basis with two force parameter sets like NL3* and NL-SH. In this article, the bulk properties such as binding energy (BE), rms charge radius, quadrupole deformation, neutron skin thickness, three neutron pairing gap for charge radius, two neutron separation energies (<InlineEquation ID="IEq8"> <EquationSource Format="TEX">$S_{2n}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>), differential variation of two neutron separation energy (<InlineEquation ID="IEq9"> <EquationSource Format="TEX">$dS_{2n}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>d</mi> <msub> <mi>S</mi> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>) and neutron pairing gap using three-, four- and five-point formulae have also been investigated thoroughly for the above mentioned isotopic series. Half-life periods are determined using the Viola-Seaberg, Royer, MUDL, UDL-1, UDL-2, Santosh et al. and unified formula by Ni et al. using calculated and experimentally accessible Q-values. For the prediction of the favorable decay mode of the isotopic series, the spontaneous fission half-life is also calculated by using two different formulas that are independent of force parameters. All the outcomes are compared with available experimental data. We found <InlineEquation ID="IEq10"> <EquationSource Format="TEX">$^{270}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>270</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Hs is a comparably stable isotope of Hs with other possible shell closures at <InlineEquation ID="IEq11"> <EquationSource Format="TEX">${N} =138$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>138</mn> </mrow> </math></EquationSource> </InlineEquation>, 142, 154, 162, 166, 182, 184, 186, 210, 220, 222. This study helps us to understand the shell and subshell closures of even-even Hassium isotopes and their preferred decay modes.

Neutron shell effects and decay mode competition in $\mathbf {^{238\text {--}338}{{\textbf {H}}s}}$ isotopes

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发表日期：

2026年7月16日

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G. Tripathy,
P. Mohanty,
A. Anupam,
C. Dash,
B. B. Sahu

摘要

We study the shell closure, alpha-decay and cluster-decay ( $^{8}$ $^{8}$ Be, $^{12}$ $^{12}$ C, $^{14}$ $^{14}$ C, $^{16}$ $^{16}$ O) of even-even $^{238\text {--}338}\textrm{Hs}_{108}$ $^{238 -- 338} {Hs}_{108}$ isotopes using relativistic mean field (RMF) model within an axially deformed oscillator basis with two force parameter sets like NL3* and NL-SH. In this article, the bulk properties such as binding energy (BE), rms charge radius, quadrupole deformation, neutron skin thickness, three neutron pairing gap for charge radius, two neutron separation energies ( $S_{2n}$ $S_{2 n}$ ), differential variation of two neutron separation energy ( $dS_{2n}$ $d S_{2 n}$ ) and neutron pairing gap using three-, four- and five-point formulae have also been investigated thoroughly for the above mentioned isotopic series. Half-life periods are determined using the Viola-Seaberg, Royer, MUDL, UDL-1, UDL-2, Santosh et al. and unified formula by Ni et al. using calculated and experimentally accessible Q-values. For the prediction of the favorable decay mode of the isotopic series, the spontaneous fission half-life is also calculated by using two different formulas that are independent of force parameters. All the outcomes are compared with available experimental data. We found $^{270}$ $^{270}$ Hs is a comparably stable isotope of Hs with other possible shell closures at ${N} =138$ $N = 138$ , 142, 154, 162, 166, 182, 184, 186, 210, 220, 222. This study helps us to understand the shell and subshell closures of even-even Hassium isotopes and their preferred decay modes.

Neutron shell effects and decay mode competition in \(\mathbf {^{238\text {--}338}{{\textbf {H}}s}}\) isotopes

摘要