Productions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>T</mml:mi> <mml:mrow> <mml:mi>c</mml:mi> <mml:mi>c</mml:mi> </mml:mrow> </mml:msub> </mml:math> and its SU(3)-flavor symmetry and heavy quark

Inspired by the observation of the doubly charmed tetraquark state <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi>T</a:mi> <a:mrow> <a:mi>c</a:mi> <a:mi>c</a:mi> </a:mrow> </a:msub> </a:math> at <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mi>p</c:mi> <c:mi>p</c:mi> </c:math> collisions in the inclusive processes, we systematically investigate the production of doubly charmed tetraquark states in exclusive <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msub> <e:mi>B</e:mi> <e:mi>c</e:mi> </e:msub> </e:math> decays. In this work, we assume the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msub> <g:mi>T</g:mi> <g:mrow> <g:mi>c</g:mi> <g:mi>c</g:mi> </g:mrow> </g:msub> </g:math> as a <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>D</i:mi> <i:msup> <i:mi>D</i:mi> <i:mo>*</i:mo> </i:msup> </i:math> bound state, and then predict the masses of its heavy quark spin symmetry partner <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msup> <k:mi>D</k:mi> <k:mo>*</k:mo> </k:msup> <k:msup> <k:mi>D</k:mi> <k:mo>*</k:mo> </k:msup> </k:math> (denoted by <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> ) as well as their SU(3)-flavor symmetry partners, i.e., <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:msub> <o:mi>D</o:mi> <o:mi>s</o:mi> </o:msub> <o:msup> <o:mi>D</o:mi> <o:mo>*</o:mo> </o:msup> <o:mo>/</o:mo> <o:msubsup> <o:mi>D</o:mi> <o:mi>s</o:mi> <o:mo>*</o:mo> </o:msubsup> <o:mi>D</o:mi> </o:math> (denoted by <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:mi>s</q:mi> </q:mrow> <q:mo>+</q:mo> </q:msubsup> </q:math> and <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msubsup> <s:mi>T</s:mi> <s:mrow> <s:mi>c</s:mi> <s:mi>c</s:mi> <s:mi>s</s:mi> </s:mrow> <s:mrow> <s:mo>+</s:mo> <s:mo>+</s:mo> </s:mrow> </s:msubsup> </s:math> ) and <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msup> <u:mi>D</u:mi> <u:mo>*</u:mo> </u:msup> <u:msubsup> <u:mi>D</u:mi> <u:mi>s</u:mi> <u:mo>*</u:mo> </u:msubsup> </u:math> (denoted by <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:msubsup> <w:mi>T</w:mi> <w:mrow> <w:mi>c</w:mi> <w:mi>c</w:mi> <w:mi>s</w:mi> </w:mrow> <w:mrow> <w:mo>*</w:mo> <w:mo>+</w:mo> </w:mrow> </w:msubsup> </w:math> and <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:msubsup> <y:mi>T</y:mi> <y:mrow> <y:mi>c</y:mi> <y:mi>c</y:mi> <y:mi>s</y:mi> </y:mrow> <y:mrow> <y:mo>*</y:mo> <y:mo>+</y:mo> <y:mo>+</y:mo> </y:mrow> </y:msubsup> </y:math> ), using the contact range effective field theory. Within the molecular picture, we compute their partial decay widths and production rates in <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:msub> <ab:mi>B</ab:mi> <ab:mi>c</ab:mi> </ab:msub> </ab:math> meson decays. We identify the decays <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"> <cb:msub> <cb:mi>B</cb:mi> <cb:mi>c</cb:mi> </cb:msub> <cb:mo stretchy="false">→</cb:mo> <cb:msup> <cb:mi>D</cb:mi> <cb:mn>0</cb:mn> </cb:msup> <cb:msup> <cb:mi>D</cb:mi> <cb:mn>0</cb:mn> </cb:msup> <cb:msup> <cb:mi>π</cb:mi> <cb:mo>+</cb:mo> </cb:msup> <cb:msup> <cb:mover accent="true"> <cb:mi>D</cb:mi> <cb:mo stretchy="false">¯</cb:mo> </cb:mover> <cb:mn>0</cb:mn> </cb:msup> </cb:math> and <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"> <hb:msub> <hb:mi>B</hb:mi> <hb:mi>c</hb:mi> </hb:msub> <hb:mo stretchy="false">→</hb:mo> <hb:msubsup> <hb:mi>D</hb:mi> <hb:mi>s</hb:mi> <hb:mo>+</hb:mo> </hb:msubsup> <hb:msup> <hb:mi>D</hb:mi> <hb:mn>0</hb:mn> </hb:msup> <hb:msup> <hb:mi>π</hb:mi> <hb:mo>+</hb:mo> </hb:msup> <hb:msup> <hb:mi>D</hb:mi> <hb:mo>−</hb:mo> </hb:msup> </hb:math> as promising channels to observe the tetraquark states <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:msubsup> <kb:mi>T</kb:mi> <kb:mrow> <kb:mi>c</kb:mi> <kb:mi>c</kb:mi> </kb:mrow> <kb:mrow> <kb:mo stretchy="false">(</kb:mo> <kb:mo>*</kb:mo> <kb:mo stretchy="false">)</kb:mo> </kb:mrow> </kb:msubsup> </kb:math> and <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:msubsup> <ob:mi>T</ob:mi> <ob:mrow> <ob:mi>c</ob:mi> <ob:mi>c</ob:mi> <ob:mi>s</ob:mi> </ob:mrow> <ob:mrow>