In this work, we discuss the electromagnetic properties of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>S</a:mi></a:math>-wave and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>D</c:mi></c:math>-wave <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msubsup><e:mi>T</e:mi><e:mrow><e:mi>c</e:mi><e:mi>c</e:mi></e:mrow><e:mo>+</e:mo></e:msubsup></e:math> molecular states, which include the magnetic moments, transition magnetic moments, and radiative decay widths. According to our results, the magnetic moment of <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msubsup><g:mi>T</g:mi><g:mrow><g:mi>c</g:mi><g:mi>c</g:mi></g:mrow><g:mo>+</g:mo></g:msubsup></g:math> state observed experimentally is <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mo>−</i:mo><i:mn>0.09</i:mn><i:msub><i:mi>μ</i:mi><i:mi>N</i:mi></i:msub></i:math>. Meanwhile, we also discuss the relations between the transition magnetic moments of the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>S</k:mi></k:math>-wave <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msubsup><m:mi>T</m:mi><m:mrow><m:mi>c</m:mi><m:mi>c</m:mi></m:mrow><m:mo>+</m:mo></m:msubsup></m:math> molecular states and the radiative decay widths, and we analyze the proportionality between the magnetic moments of the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msubsup><o:mi>T</o:mi><o:mrow><o:mi>c</o:mi><o:mi>c</o:mi></o:mrow><o:mo>+</o:mo></o:msubsup></o:math> molecular states. These results provide further information on the inner structure of <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msubsup><q:mi>T</q:mi><q:mrow><q:mi>c</q:mi><q:mi>c</q:mi></q:mrow><q:mo>+</q:mo></q:msubsup></q:math> molecular states and deepen the understanding of electromagnetic properties of doubly charmed tetraquarks.
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Lei et al. (2024) studied this question.
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