Electromagnetic probes revealing the inner structure of the Λc(2940)

The <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="normal">Λ</a:mi><a:mi>c</a:mi></a:msub><a:mo stretchy="false">(</a:mo><a:mn>2940</a:mn><a:mo stretchy="false">)</a:mo></a:math>, an open-charm baryon discovered in 2006, has sparked interest due to its “low mass puzzle,” paralleling the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>X</f:mi><f:mo stretchy="false">(</f:mo><f:mn>3872</f:mn><f:mo stretchy="false">)</f:mo></f:math> in the charmoniumlike sector. Both states challenge conventional hadronic interpretations, with the <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi>X</j:mi><j:mo stretchy="false">(</j:mo><j:mn>3872</j:mn><j:mo stretchy="false">)</j:mo></j:math> understood as a <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msup><n:mi>D</n:mi><n:mo>*</n:mo></n:msup><n:mover accent="true"><n:mi>D</n:mi><n:mo stretchy="false">¯</n:mo></n:mover></n:math> molecular state and the <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msub><r:mi mathvariant="normal">Λ</r:mi><r:mi>c</r:mi></r:msub><r:mo stretchy="false">(</r:mo><r:mn>2940</r:mn><r:mo stretchy="false">)</r:mo></r:math> hypothesized as a <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msup><w:mi>D</w:mi><w:mo>*</w:mo></w:msup><w:mi>N</w:mi></w:math> molecular state. This work investigates the radiative decay modes <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi mathvariant="normal">Λ</y:mi><y:mi>c</y:mi></y:msub><y:mo stretchy="false">(</y:mo><y:mn>2940</y:mn><y:mo stretchy="false">)</y:mo><y:mo stretchy="false">→</y:mo><y:msub><y:mi mathvariant="normal">Λ</y:mi><y:mi>c</y:mi></y:msub><y:mo stretchy="false">(</y:mo><y:mn>2286</y:mn><y:mo stretchy="false">)</y:mo><y:mi>γ</y:mi></y:math>, <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msub><hb:mi mathvariant="normal">Λ</hb:mi><hb:mi>c</hb:mi></hb:msub><hb:mo stretchy="false">(</hb:mo><hb:mn>2940</hb:mn><hb:mo stretchy="false">)</hb:mo><hb:mo stretchy="false">→</hb:mo><hb:msub><hb:mi mathvariant="normal">Λ</hb:mi><hb:mi>c</hb:mi></hb:msub><hb:mo stretchy="false">(</hb:mo><hb:mn>2595</hb:mn><hb:mo stretchy="false">)</hb:mo><hb:mi>γ</hb:mi></hb:math>, and <qb:math xmlns:qb="http://www.w3.org/1998/Math/MathML" display="inline"><qb:msub><qb:mi mathvariant="normal">Λ</qb:mi><qb:mi>c</qb:mi></qb:msub><qb:mo stretchy="false">(</qb:mo><qb:mn>2940</qb:mn><qb:mo stretchy="false">)</qb:mo><qb:mo stretchy="false">→</qb:mo><qb:msub><qb:mi mathvariant="normal">Λ</qb:mi><qb:mi>c</qb:mi></qb:msub><qb:mo stretchy="false">(</qb:mo><qb:mn>2765</qb:mn><qb:mo stretchy="false">)</qb:mo><qb:mi>γ</qb:mi></qb:math>, analogous to radiative transitions observed in the <zb:math xmlns:zb="http://www.w3.org/1998/Math/MathML" display="inline"><zb:mi>X</zb:mi><zb:mo stretchy="false">(</zb:mo><zb:mn>3872</zb:mn><zb:mo stretchy="false">)</zb:mo></zb:math>. Using the one-boson-exchange model to obtain the <dc:math xmlns:dc="http://www.w3.org/1998/Math/MathML" display="inline"><dc:msup><dc:mi>D</dc:mi><dc:mo>*</dc:mo></dc:msup><dc:mi>N</dc:mi></dc:math> molecular spatial wave function as input, we calculate decay widths and their ratios, finding differences with different quantum number assumptions. Our findings underscore the potential of electromagnetic probes in revealing its nature and highlight the need for dedicated experimental studies to validate these theoretical predictions.