We search for excited charmed baryons in the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msubsup><a:mi mathvariant="normal">Λ</a:mi><a:mi>c</a:mi><a:mo>+</a:mo></a:msubsup><a:mi>η</a:mi></a:math> system using a data sample corresponding to an integrated luminosity of <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mn>980</d:mn><d:mtext> </d:mtext><d:mtext> </d:mtext><d:msup><d:mi>fb</d:mi><d:mrow><d:mo>−</d:mo><d:mn>1</d:mn></d:mrow></d:msup></d:math>. The data were collected by the Belle detector at the KEKB <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:msup><f:mi>e</f:mi><f:mo>+</f:mo></f:msup><f:msup><f:mi>e</f:mi><f:mo>−</f:mo></f:msup></f:math> asymmetric-energy collider. No significant signals are found in the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:msubsup><h:mi mathvariant="normal">Λ</h:mi><h:mi>c</h:mi><h:mo>+</h:mo></h:msubsup><h:mi>η</h:mi></h:math> mass spectrum, including the known <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi mathvariant="normal">Λ</k:mi><k:mi>c</k:mi></k:msub><k:mo stretchy="false">(</k:mo><k:mn>2880</k:mn><k:msup><k:mo stretchy="false">)</k:mo><k:mo>+</k:mo></k:msup></k:math> and <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:msub><p:mi mathvariant="normal">Λ</p:mi><p:mi>c</p:mi></p:msub><p:mo stretchy="false">(</p:mo><p:mn>2940</p:mn><p:msup><p:mo stretchy="false">)</p:mo><p:mo>+</p:mo></p:msup></p:math>. Clear <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msub><u:mi mathvariant="normal">Λ</u:mi><u:mi>c</u:mi></u:msub><u:mo stretchy="false">(</u:mo><u:mn>2880</u:mn><u:msup><u:mo stretchy="false">)</u:mo><u:mo>+</u:mo></u:msup></u:math> and <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:msub><z:mi mathvariant="normal">Λ</z:mi><z:mi>c</z:mi></z:msub><z:mo stretchy="false">(</z:mo><z:mn>2940</z:mn><z:msup><z:mo stretchy="false">)</z:mo><z:mo>+</z:mo></z:msup></z:math> signals are observed in the <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:mi>p</eb:mi><eb:msup><eb:mi>D</eb:mi><eb:mn>0</eb:mn></eb:msup></eb:math> mass spectrum. We set upper limits at 90% credibility level on ratios of branching fractions of <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:msub><gb:mi mathvariant="normal">Λ</gb:mi><gb:mi>c</gb:mi></gb:msub><gb:mo stretchy="false">(</gb:mo><gb:mn>2880</gb:mn><gb:msup><gb:mo stretchy="false">)</gb:mo><gb:mo>+</gb:mo></gb:msup></gb:math> and <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:msub><lb:mi mathvariant="normal">Λ</lb:mi><lb:mi>c</lb:mi></lb:msub><lb:mo stretchy="false">(</lb:mo><lb:mn>2940</lb:mn><lb:msup><lb:mo stretchy="false">)</lb:mo><lb:mo>+</lb:mo></lb:msup></lb:math> decaying to <qb:math xmlns:qb="http://www.w3.org/1998/Math/MathML" display="inline"><qb:msubsup><qb:mi mathvariant="normal">Λ</qb:mi><qb:mi>c</qb:mi><qb:mo>+</qb:mo></qb:msubsup><qb:mi>η</qb:mi></qb:math> relative to <tb:math xmlns:tb="http://www.w3.org/1998/Math/MathML" display="inline"><tb:msub><tb:mi mathvariant="normal">Σ</tb:mi><tb:mi>c</tb:mi></tb:msub><tb:mo stretchy="false">(</tb:mo><tb:mn>2455</tb:mn><tb:mo stretchy="false">)</tb:mo><tb:mi>π</tb:mi></tb:math> of <yb:math xmlns:yb="http://www.w3.org/1998/Math/MathML" display="inline"><yb:mo><</yb:mo><yb:mn>0.13</yb:mn></yb:math> for the <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"><ac:msub><ac:mi mathvariant="normal">Λ</ac:mi><ac:mi>c</ac:mi></ac:msub><ac:mo stretchy="false">(</ac:mo><ac:mn>2880</ac:mn><ac:msup><ac:mo stretchy="false">)</ac:mo><ac:mo>+</ac:mo></ac:msup></ac:math> and <fc:math xmlns:fc="http://www.w3.org/1998/Math/MathML" display="inline"><fc:mo><</fc:mo><fc:mn>1.11</fc:mn></fc:math> for the <hc:math xmlns:hc="http://www.w3.org/1998/Math/MathML" display="inline"><hc:msub><hc:mi mathvariant="normal">Λ</hc:mi><hc:mi>c</hc:mi></hc:msub><hc:mo stretchy="false">(</hc:mo><hc:mn>2940</hc:mn><hc:msup><hc:mo stretchy="false">)</hc:mo><hc:mo>+</hc:mo></hc:msup></hc:math>. We measure ratios of branching fractions of <mc:math xmlns:mc="http://www.w3.org/1998/Math/MathML" display="inline"><mc:msub><mc:mi mathvariant="normal">Λ</mc:mi><mc:mi>c</mc:mi></mc:msub><mc:mo stretchy="false">(</mc:mo><mc:mn>2880</mc:mn><mc:msup><mc:mo stretchy="false">)</mc:mo><mc:mo>+</mc:mo></mc:msup></mc:math> and <rc:math xmlns:rc="http://www.w3.org/1998/Math/MathML" display="inline"><rc:msub><rc:mi mathvariant="normal">Λ</rc:mi><rc:mi>c</rc:mi></rc:msub><rc:mo stretchy="false">(</rc:mo><rc:mn>2940</rc:mn><rc:msup><rc:mo stretchy="false">)</rc:mo><rc:mo>+</rc:mo></rc:msup></rc:math> decaying to <wc:math xmlns:wc="http://www.w3.org/1998/Math/MathML" display="inline"><wc:mi>p</wc:mi><wc:msup><wc:mi>D</wc:mi><wc:mn>0</wc:mn></wc:msup></wc:math> relative to <yc:math xmlns:yc="http://www.w3.org/1998/Math/MathML" display="inline"><yc:msub><yc:mi mathvariant="normal">Σ</yc:mi><yc:mi>c</yc:mi></yc:msub><yc:mo stretchy="false">(</yc:mo><yc:mn>2455</yc:mn><yc:mo stretchy="false">)</yc:mo><yc:mi>π</yc:mi></yc:math> of <dd:math xmlns:dd="http://www.w3.org/1998/Math/MathML" display="inline"><dd:mn>0.75</dd:mn><dd:mo>±</dd:mo><dd:mn>0.03</dd:mn><dd:mo stretchy="false">(</dd:mo><dd:mrow><dd:mi>stat</dd:mi></dd:mrow><dd:mo stretchy="false">)</dd:mo><dd:mo>±</dd:mo><dd:mn>0.07</dd:mn><dd:mo stretchy="false">(</dd:mo><dd:mrow><dd:mi>syst</dd:mi></dd:mrow><dd:mo stretchy="false">)</dd:mo></dd:math> for the <jd:math xmlns:jd="http://www.w3.org/1998/Math/MathML" display="inline"><jd:msub><jd:mi mathvariant="normal">Λ</jd:mi><jd:mi>c</jd:mi></jd:msub><jd:mo stretchy="false">(</jd:mo><jd:mn>2880</jd:mn><jd:msup><jd:mo stretchy="false">)</jd:mo><jd:mo>+</jd:mo></jd:msup></jd:math> and <od:math xmlns:od="http://www.w3.org/1998/Math/MathML" display="inline"><od:mn>3.59</od:mn><od:mo>±</od:mo><od:mn>0.21</od:mn><od:mo stretchy="false">(</od:mo><od:mrow><od:mi>stat</od:mi></od:mrow><od:mo stretchy="false">)</od:mo><od:mo>±</od:mo><od:mn>0.56</od:mn><od:mo stretchy="false">(</od:mo><od:mrow><od:mi>syst</od:mi></od:mrow><od:mo stretchy="false">)</od:mo></od:math> for the <ud:math xmlns:ud="http://www.w3.org/1998/Math/MathML" display="inline"><ud:msub><ud:mi mathvariant="normal">Λ</ud:mi><ud:mi>c</ud:mi></ud:msub><ud:mo stretchy="false">(</ud:mo><ud:mn>2940</ud:mn><ud:msup><ud:mo stretchy="false">)</ud:mo><ud:mo>+</ud:mo></ud:msup></ud:math>. Published by the American Physical Society 2024
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