Search for C -even states decaying to Ds±Ds*∓ with masses between 4.08 and <mml:math xmlns:mml="http://www.w3.org/1998…

Six <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>C</a:mi></a:math>-even states, denoted as <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>X</c:mi></c:math>, with quantum numbers <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>J</e:mi><e:mrow><e:mi>P</e:mi><e:mi>C</e:mi></e:mrow></e:msup><e:mo>=</e:mo><e:msup><e:mn>0</e:mn><e:mrow><e:mo>−</e:mo><e:mo>+</e:mo></e:mrow></e:msup></e:math>, <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mn>1</g:mn><g:mrow><g:mo>±</g:mo><g:mo>+</g:mo></g:mrow></g:msup></g:math>, or <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msup><i:mn>2</i:mn><i:mrow><i:mo>±</i:mo><i:mo>+</i:mo></i:mrow></i:msup></i:math>, are searched for via the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msup><k:mi>e</k:mi><k:mo>+</k:mo></k:msup><k:msup><k:mi>e</k:mi><k:mo>−</k:mo></k:msup><k:mo stretchy="false">→</k:mo><k:mi>γ</k:mi><k:msubsup><k:mi>D</k:mi><k:mi>s</k:mi><k:mo>±</k:mo></k:msubsup><k:msubsup><k:mi>D</k:mi><k:mi>s</k:mi><k:mrow><k:mo>*</k:mo><k:mo>∓</k:mo></k:mrow></k:msubsup></k:math> process using <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:mrow><n:mo stretchy="false">(</n:mo><n:mn>1667.39</n:mn><n:mo>±</n:mo><n:mn>8.84</n:mn><n:mo stretchy="false">)</n:mo><n:mtext> </n:mtext><n:mtext> </n:mtext><n:msup><n:mrow><n:mi>pb</n:mi></n:mrow><n:mrow><n:mo>−</n:mo><n:mn>1</n:mn></n:mrow></n:msup></n:mrow></n:math> of <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msup><r:mi>e</r:mi><r:mo>+</r:mo></r:msup><r:msup><r:mi>e</r:mi><r:mo>−</r:mo></r:msup></r:math> collision data collected with the BESIII detector operating at the BEPCII storage ring at center-of-mass energy of <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msqrt><t:mi>s</t:mi></t:msqrt><t:mo>=</t:mo><t:mspace linebreak="goodbreak"/><t:mo stretchy="false">(</t:mo><t:mn>4681.92</t:mn><t:mo>±</t:mo><t:mn>0.30</t:mn><t:mo stretchy="false">)</t:mo><t:mtext> </t:mtext><t:mtext> </t:mtext><t:mi>MeV</t:mi></t:math>. No statistically significant signal is observed in the mass range from <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:mn>4.08</y:mn><y:mtext> </y:mtext><y:mtext> </y:mtext><y:mi>GeV</y:mi><y:mo>/</y:mo><y:msup><y:mi>c</y:mi><y:mn>2</y:mn></y:msup></y:math> to <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:mn>4.32</ab:mn><ab:mtext> </ab:mtext><ab:mtext> </ab:mtext><ab:mi>GeV</ab:mi><ab:mo>/</ab:mo><ab:msup><ab:mi>c</ab:mi><ab:mn>2</ab:mn></ab:msup></ab:math>. The upper limits of <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:mi>σ</cb:mi><cb:mo stretchy="false">[</cb:mo><cb:msup><cb:mi>e</cb:mi><cb:mo>+</cb:mo></cb:msup><cb:msup><cb:mi>e</cb:mi><cb:mo>−</cb:mo></cb:msup><cb:mo stretchy="false">→</cb:mo><cb:mi>γ</cb:mi><cb:mi>X</cb:mi><cb:mo stretchy="false">]</cb:mo><cb:mo>·</cb:mo><cb:mi mathvariant="script">B</cb:mi><cb:mo stretchy="false">[</cb:mo><cb:mi>X</cb:mi><cb:mo stretchy="false">→</cb:mo><cb:msubsup><cb:mi>D</cb:mi><cb:mi>s</cb:mi><cb:mo>±</cb:mo></cb:msubsup><cb:msubsup><cb:mi>D</cb:mi><cb:mi>s</cb:mi><cb:mrow><cb:mo>*</cb:mo><cb:mo>∓</cb:mo></cb:mrow></cb:msubsup><cb:mo stretchy="false">]</cb:mo></cb:math> at a 90% confidence level are determined. Published by the American Physical Society 2024