A study of resonant structures in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msup><a:mrow><a:mi>B</a:mi></a:mrow><a:mrow><a:mo>+</a:mo></a:mrow></a:msup><a:mo stretchy="false">→</a:mo><a:mrow><a:msup><a:mrow><a:mi>D</a:mi></a:mrow><a:mrow><a:mo>*</a:mo><a:mo>+</a:mo></a:mrow></a:msup><a:msup><a:mrow><a:mi>D</a:mi></a:mrow><a:mrow><a:mo>−</a:mo></a:mrow></a:msup><a:msup><a:mrow><a:mi>K</a:mi></a:mrow><a:mrow><a:mo>+</a:mo></a:mrow></a:msup></a:mrow></a:mrow></a:math> and <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mrow><d:msup><d:mrow><d:mi>B</d:mi></d:mrow><d:mrow><d:mo>+</d:mo></d:mrow></d:msup><d:mo stretchy="false">→</d:mo><d:mrow><d:msup><d:mrow><d:mi>D</d:mi></d:mrow><d:mrow><d:mo>*</d:mo><d:mo>−</d:mo></d:mrow></d:msup><d:msup><d:mrow><d:mi>D</d:mi></d:mrow><d:mrow><d:mo>+</d:mo></d:mrow></d:msup><d:msup><d:mrow><d:mi>K</d:mi></d:mrow><d:mrow><d:mo>+</d:mo></d:mrow></d:msup></d:mrow></d:mrow></d:math> decays is performed, using proton-proton collision data at center-of-mass energies of <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msqrt><g:mi>s</g:mi></g:msqrt><g:mo>=</g:mo><g:mn>7</g:mn></g:math>, 8, and 13 TeV recorded by the LHCb experiment, corresponding to an integrated luminosity of <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mn>9</i:mn><i:mtext> </i:mtext><i:mtext> </i:mtext><i:msup><i:mi>fb</i:mi><i:mrow><i:mo>−</i:mo><i:mn>1</i:mn></i:mrow></i:msup></i:math>. A simultaneous amplitude fit is performed to the two channels with contributions from resonances decaying to <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msup><k:mi>D</k:mi><k:mrow><k:mo>*</k:mo><k:mo>−</k:mo></k:mrow></k:msup><k:msup><k:mi>D</k:mi><k:mo>+</k:mo></k:msup></k:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msup><m:mi>D</m:mi><m:mrow><m:mo>*</m:mo><m:mo>+</m:mo></m:mrow></m:msup><m:msup><m:mi>D</m:mi><m:mo>−</m:mo></m:msup></m:math> states linked by <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>C</o:mi></o:math> parity. This procedure allows the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi>C</q:mi></q:math> parities of resonances in the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:msup><s:mi>D</s:mi><s:mrow><s:mo>*</s:mo><s:mo>±</s:mo></s:mrow></s:msup><s:msup><s:mi>D</s:mi><s:mo>∓</s:mo></s:msup></s:math> mass spectra to be determined. Four charmonium or charmoniumlike states are observed decaying into <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msup><u:mi>D</u:mi><u:mrow><u:mo>*</u:mo><u:mo>±</u:mo></u:mrow></u:msup><u:msup><u:mi>D</u:mi><u:mo>∓</u:mo></u:msup></u:math>: <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mrow><w:msub><w:mrow><w:mi>η</w:mi></w:mrow><w:mrow><w:mi>c</w:mi></w:mrow></w:msub><w:mo stretchy="false">(</w:mo><w:mn>3945</w:mn><w:mo stretchy="false">)</w:mo></w:mrow></w:math>, <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:msub><ab:mi>h</ab:mi><ab:mi>c</ab:mi></ab:msub><ab:mo stretchy="false">(</ab:mo><ab:mn>4000</ab:mn><ab:mo stretchy="false">)</ab:mo></ab:math>, <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:mrow><eb:msub><eb:mrow><eb:mi>χ</eb:mi></eb:mrow><eb:mrow><eb:mi>c</eb:mi><eb:mn>1</eb:mn></eb:mrow></eb:msub><eb:mo stretchy="false">(</eb:mo><eb:mn>4010</eb:mn><eb:mo stretchy="false">)</eb:mo></eb:mrow></eb:math>, and <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:msub><ib:mi>h</ib:mi><ib:mi>c</ib:mi></ib:msub><ib:mo stretchy="false">(</ib:mo><ib:mn>4300</ib:mn><ib:mo stretchy="false">)</ib:mo></ib:math>, with quantum numbers <mb:math xmlns:mb="http://www.w3.org/1998/Math/MathML" display="inline"><mb:msup><mb:mi>J</mb:mi><mb:mrow><mb:mi>P</mb:mi><mb:mi>C</mb:mi></mb:mrow></mb:msup></mb:math> equal to <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:msup><ob:mn>0</ob:mn><ob:mrow><ob:mo>−</ob:mo><ob:mo>+</ob:mo></ob:mrow></ob:msup></ob:math>, <qb:math xmlns:qb="http://www.w3.org/1998/Math/MathML" display="inline"><qb:msup><qb:mn>1</qb:mn><qb:mrow><qb:mo>+</qb:mo><qb:mo>−</qb:mo></qb:mrow></qb:msup></qb:math>, <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"><sb:msup><sb:mn>1</sb:mn><sb:mrow><sb:mo>+</sb:mo><sb:mo>+</sb:mo></sb:mrow></sb:msup></sb:math>, and <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"><ub:msup><ub:mn>1</ub:mn><ub:mrow><ub:mo>+</ub:mo><ub:mo>−</ub:mo></ub:mrow></ub:msup></ub:math>, respectively. At least three of these states have not been observed previously. In addition, the existence of the <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"><wb:mrow><wb:msubsup><wb:mrow><wb:mi>T</wb:mi></wb:mrow><wb:mrow><wb:mover accent="true"><wb:mrow><wb:mi>c</wb:mi></wb:mrow><wb:mrow><wb:mo stretchy="false">¯</wb:mo></wb:mrow></wb:mover><wb:mover accent="true"><wb:mrow><wb:mi>s</wb:mi></wb:mrow><wb:mrow><wb:mo stretchy="false">¯</wb:mo></wb:mrow></wb:mover><wb:mn>0</wb:mn></wb:mrow><wb:mrow><wb:mo>*</wb:mo></wb:mrow></wb:msubsup><wb:mo stretchy="false">(</wb:mo><wb:mn>2870</wb:mn><wb:msup><wb:mrow><wb:mo stretchy="false">)</wb:mo></wb:mrow><wb:mrow><wb:mn>0</wb:mn></wb:mrow></wb:msup></wb:mrow></wb:math> and <ec:math xmlns:ec="http://www.w3.org/1998/Math/MathML" display="inline"><ec:mrow><ec:msubsup><ec:mrow><ec:mi>T</ec:mi></ec:mrow><ec:mrow><ec:mover accent="true"><ec:mrow><ec:mi>c</ec:mi></ec:mrow><ec:mrow><ec:mo stretchy="false">¯</ec:mo></ec:mrow></ec:mover><ec:mover accent="true"><ec:mrow><ec:mi>s</ec:mi></ec:mrow><ec:mrow><ec:mo stretchy="false">¯</ec:mo></ec:mrow></ec:mover><ec:mn>1</ec:mn></ec:mrow><ec:mrow><ec:mo>*</ec:mo></ec:mrow></ec:msubsup><ec:mo stretchy="false">(</ec:mo><ec:mn>2900</ec:mn><ec:msup><ec:mrow><ec:mo stretchy="false">)</ec:mo></ec:mrow><ec:mrow><ec:mn>0</ec:mn></ec:mrow></ec:msup></ec:mrow></ec:math> resonances in the <mc:math xmlns:mc="http://www.w3.org/1998/Math/MathML" display="inline"><mc:msup><mc:mi>D</mc:mi><mc:mo>−</mc:mo></mc:msup><mc:msup><mc:mi>K</mc:mi><mc:mo>+</mc:mo></mc:msup></mc:math> mass spectrum, already observed in the <oc:math xmlns:oc="http://www.w3.org/1998/Math/MathML" display="inline"><oc:mrow><oc:msup><oc:mrow><oc:mi>B</oc:mi></oc:mrow><oc:mrow><oc:mo>+</oc:mo></oc:mrow></oc:msup><oc:mo stretchy="false">→</oc:mo><oc:msup><oc:mrow><oc:mi>D</oc:mi></oc:mrow><oc:mrow><oc:mo>+</oc:mo></oc:mrow></oc:msup><oc:msup><oc:mrow><oc:mi>D</oc:mi></oc:mrow><oc:mrow><oc:mo>−</oc:mo></oc:mrow></oc:msup><oc:msup><oc:mrow><oc:mi>K</oc:mi></oc:mrow><oc:mrow><oc:mo>+</oc:mo></oc:mrow></oc:msup></oc:mrow></oc:math> decay, is confirmed in a different production channel. © 2024 CERN, for the LHCb Collaboration 2024 CERN