<p>The low-energy excited states in the neutron-deficient nucleus <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq8.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{91}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>91</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ru were populated via the <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq9.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{58}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>58</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ni(<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq10.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\,^{36}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mspace width="0.166667em" /> <mrow /> <mn>36</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ar, 2<i>p</i>1<i>n</i><InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq11.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>)<InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq12.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\,^{91}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mspace width="0.166667em" /> <mrow /> <mn>91</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ru reaction at a beam energy of 111&#xa0;MeV. Charged particles, neutrons, and <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq11.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation> rays were emitted in the reactions and detected using a DIAMANT CsI ball, neutron wall, and EXOGAM Ge clover array, respectively. Angular-correlation and linear polarization measurements were performed to determine the spins and parities of the excited states unambiguously. In addition to the previously reported states, a new low-energy-level structure of <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq8.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{91}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>91</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ru, including one 7/2<InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq15.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>+</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> and two 11/2<InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq15.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>+</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> states, was established. Similar structures have also been reported in lighter <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="55" /> </InlineMediaObject> <EquationSource Format="TEX">\(N=47\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>47</mn> </mrow> </math></EquationSource> </InlineEquation> even-odd isotones down to <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq18.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{85}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>85</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Sr, which were expected to come from the three-neutron–hole <InlineEquation ID="IEq19"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq2.gif" Format="GIF" Height="25" Rendition="HTML" Resolution="72" Type="Linedraw" Width="37" /> </InlineMediaObject> <EquationSource Format="TEX">\(\nu g_{9/2}^{-3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ν</mi> <msubsup> <mi>g</mi> <mrow> <mn>9</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msubsup> </mrow> </math></EquationSource> </InlineEquation> configuration. A semiempirical shell model was used to explain the level systematics of the <InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="55" /> </InlineMediaObject> <EquationSource Format="TEX">\(N=47\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>47</mn> </mrow> </math></EquationSource> </InlineEquation> even-odd isotones. Calculated results indicated that the 7/2<InlineEquation ID="IEq21"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq15.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>+</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> and the 11/2<InlineEquation ID="IEq22"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq22.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{+}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>1</mn> <mo>+</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> states are mainly associated with the seniority-three <InlineEquation ID="IEq23"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq23.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="65" /> </InlineMediaObject> <EquationSource Format="TEX">\(\nu (g_{9/2})^{-3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ν</mi> <msup> <mrow> <mo stretchy="false">(</mo> <msub> <mi>g</mi> <mrow> <mn>9</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> excitations, while the 11/2<InlineEquation ID="IEq24"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq24.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{+}_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>2</mn> <mo>+</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> level is most likely interpreted as a seniority <InlineEquation ID="IEq25"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq25.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(\upsilon =1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>υ</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> configuration of three neutron holes in the <InlineEquation ID="IEq26"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq26.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="37" /> </InlineMediaObject> <EquationSource Format="TEX">\(\nu g_{9/2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ν</mi> <msub> <mi>g</mi> <mrow> <mn>9</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation> orbital weakly coupled to a <InlineEquation ID="IEq27"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq27.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(2^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>2</mn> <mo>+</mo> </msup> </math></EquationSource> </InlineEquation> excitation of the <InlineEquation ID="IEq28"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq28.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{88}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>88</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Sr core. A comparison between the calculation and experiment shows that the two 11/2<InlineEquation ID="IEq29"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq15.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>+</mo> </mmultiscripts> </math></EquationSource> </InlineEquation> excited states display an increase in mixing with proton number <i>Z</i> added from <InlineEquation ID="IEq30"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq30.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{87}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>87</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Zr up to <InlineEquation ID="IEq31"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1751_Article_IEq8.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{91}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>91</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ru.</p>

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New low-lying positive-parity states in 91Ru: systematics of three-neutron-hole \(\nu g_{9/2}^{-3}\) excitations in \(N=47\) even-odd isotones

  • Yong Zheng,
  • Meng Wang,
  • Min-Liang Liu,
  • Kai-Long Wang

摘要

The low-energy excited states in the neutron-deficient nucleus \(^{91}\) 91 Ru were populated via the \(^{58}\) 58 Ni( \(\,^{36}\) 36 Ar, 2p1n \(\gamma\) γ ) \(\,^{91}\) 91 Ru reaction at a beam energy of 111 MeV. Charged particles, neutrons, and \(\gamma\) γ rays were emitted in the reactions and detected using a DIAMANT CsI ball, neutron wall, and EXOGAM Ge clover array, respectively. Angular-correlation and linear polarization measurements were performed to determine the spins and parities of the excited states unambiguously. In addition to the previously reported states, a new low-energy-level structure of \(^{91}\) 91 Ru, including one 7/2 \(^{+}\) + and two 11/2 \(^{+}\) + states, was established. Similar structures have also been reported in lighter \(N=47\) N = 47 even-odd isotones down to \(^{85}\) 85 Sr, which were expected to come from the three-neutron–hole \(\nu g_{9/2}^{-3}\) ν g 9 / 2 - 3 configuration. A semiempirical shell model was used to explain the level systematics of the \(N=47\) N = 47 even-odd isotones. Calculated results indicated that the 7/2 \(^{+}\) + and the 11/2 \(^{+}_{1}\) 1 + states are mainly associated with the seniority-three \(\nu (g_{9/2})^{-3}\) ν ( g 9 / 2 ) - 3 excitations, while the 11/2 \(^{+}_{2}\) 2 + level is most likely interpreted as a seniority \(\upsilon =1\) υ = 1 configuration of three neutron holes in the \(\nu g_{9/2}\) ν g 9 / 2 orbital weakly coupled to a \(2^{+}\) 2 + excitation of the \(^{88}\) 88 Sr core. A comparison between the calculation and experiment shows that the two 11/2 \(^{+}\) + excited states display an increase in mixing with proton number Z added from \(^{87}\) 87 Zr up to \(^{91}\) 91 Ru.