Doubly heavy hadron production in ultraperipheral collision

We study the double heavy baryon <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi mathvariant="normal">Ξ</a:mi></a:mrow><a:mrow><a:mi>Q</a:mi><a:msup><a:mrow><a:mi>Q</a:mi></a:mrow><a:mrow><a:mo>′</a:mo></a:mrow></a:msup></a:mrow></a:msub></a:mrow></a:math> and tetraquark <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msub><d:mi>T</d:mi><d:mrow><d:mi>Q</d:mi><d:mi>Q</d:mi></d:mrow></d:msub></d:math> production through photon-photon and photon-gluon fusion via ultraperipheral collisions at the LHC and Future Circular Collider (FCC) within the framework of nonrelativistic QCD factorization formalism. Various ion-ion collisions are taken into account, two <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mrow><f:mi>c</f:mi><f:mi>c</f:mi><f:mo stretchy="false">(</f:mo><f:mi>b</f:mi><f:mi>b</f:mi><f:mo stretchy="false">)</f:mo></f:mrow></f:math>-diquark configurations (<j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mrow><j:mo stretchy="false">[</j:mo><j:mi>c</j:mi><j:mi>c</j:mi><j:mo stretchy="false">(</j:mo><j:mi>b</j:mi><j:mi>b</j:mi><j:mo stretchy="false">)</j:mo><j:mo>,</j:mo><j:msub><j:mrow><j:mmultiscripts><j:mrow><j:mi>S</j:mi></j:mrow><j:mprescripts/><j:none/><j:mrow><j:mn>3</j:mn></j:mrow></j:mmultiscripts></j:mrow><j:mrow><j:mn>1</j:mn></j:mrow></j:msub><j:mtext>−</j:mtext><j:mover accent="true"><j:mrow><j:mn mathvariant="bold">3</j:mn></j:mrow><j:mrow><j:mo stretchy="false">¯</j:mo></j:mrow></j:mover><j:mo stretchy="false">]</j:mo></j:mrow></j:math> and <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:mrow><s:mo stretchy="false">[</s:mo><s:mi>c</s:mi><s:mi>c</s:mi><s:mo stretchy="false">(</s:mo><s:mi>b</s:mi><s:mi>b</s:mi><s:mo stretchy="false">)</s:mo><s:mo>,</s:mo><s:msub><s:mrow><s:mmultiscripts><s:mrow><s:mi>S</s:mi></s:mrow><s:mprescripts/><s:none/><s:mrow><s:mn>1</s:mn></s:mrow></s:mmultiscripts></s:mrow><s:mrow><s:mn>0</s:mn></s:mrow></s:msub><s:mtext>−</s:mtext><s:mn mathvariant="bold">6</s:mn><s:mo stretchy="false">]</s:mo></s:mrow></s:math>) and four <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:mrow><z:mi>b</z:mi><z:mi>c</z:mi></z:mrow></z:math>-diquark configurations (<bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:mrow><bb:mo stretchy="false">[</bb:mo><bb:mi>b</bb:mi><bb:mi>c</bb:mi><bb:mo>,</bb:mo><bb:msub><bb:mrow><bb:mmultiscripts><bb:mrow><bb:mi>S</bb:mi></bb:mrow><bb:mprescripts/><bb:none/><bb:mrow><bb:mn>3</bb:mn></bb:mrow></bb:mmultiscripts></bb:mrow><bb:mrow><bb:mn>1</bb:mn></bb:mrow></bb:msub><bb:mtext>−</bb:mtext><bb:mover accent="true"><bb:mrow><bb:mn mathvariant="bold">3</bb:mn></bb:mrow><bb:mrow><bb:mo stretchy="false">¯</bb:mo></bb:mrow></bb:mover><bb:mo stretchy="false">]</bb:mo></bb:mrow></bb:math>, <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:mrow><ib:mo stretchy="false">[</ib:mo><ib:mi>b</ib:mi><ib:mi>c</ib:mi><ib:mo>,</ib:mo><ib:msub><ib:mrow><ib:mmultiscripts><ib:mrow><ib:mi>S</ib:mi></ib:mrow><ib:mprescripts/><ib:none/><ib:mrow><ib:mn>3</ib:mn></ib:mrow></ib:mmultiscripts></ib:mrow><ib:mrow><ib:mn>1</ib:mn></ib:mrow></ib:msub><ib:mtext>−</ib:mtext><ib:mn mathvariant="bold">6</ib:mn><ib:mo stretchy="false">]</ib:mo></ib:mrow></ib:math>, <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"><nb:mrow><nb:mo stretchy="false">[</nb:mo><nb:mi>b</nb:mi><nb:mi>c</nb:mi><nb:mo>,</nb:mo><nb:msub><nb:mrow><nb:mmultiscripts><nb:mrow><nb:mi>S</nb:mi></nb:mrow><nb:mprescripts/><nb:none/><nb:mrow><nb:mn>1</nb:mn></nb:mrow></nb:mmultiscripts></nb:mrow><nb:mrow><nb:mn>0</nb:mn></nb:mrow></nb:msub><nb:mtext>−</nb:mtext><nb:mover accent="true"><nb:mrow><nb:mn mathvariant="bold">3</nb:mn></nb:mrow><nb:mrow><nb:mo stretchy="false">¯</nb:mo></nb:mrow></nb:mover><nb:mo stretchy="false">]</nb:mo></nb:mrow></nb:math>, and <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"><ub:mrow><ub:mo stretchy="false">[</ub:mo><ub:mi>b</ub:mi><ub:mi>c</ub:mi><ub:mo>,</ub:mo><ub:msub><ub:mrow><ub:mmultiscripts><ub:mrow><ub:mi>S</ub:mi></ub:mrow><ub:mprescripts/><ub:none/><ub:mrow><ub:mn>1</ub:mn></ub:mrow></ub:mmultiscripts></ub:mrow><ub:mrow><ub:mn>0</ub:mn></ub:mrow></ub:msub><ub:mtext>−</ub:mtext><ub:mn mathvariant="bold">6</ub:mn><ub:mo stretchy="false">]</ub:mo></ub:mrow></ub:math>) are considered in the calculation. Numerical results indicate that the <zb:math xmlns:zb="http://www.w3.org/1998/Math/MathML" display="inline"><zb:mrow><zb:mo stretchy="false">[</zb:mo><zb:mi>c</zb:mi><zb:mi>c</zb:mi><zb:mo>,</zb:mo><zb:msub><zb:mrow><zb:mmultiscripts><zb:mrow><zb:mi>S</zb:mi></zb:mrow><zb:mprescripts/><zb:none/><zb:mrow><zb:mn>3</zb:mn></zb:mrow></zb:mmultiscripts></zb:mrow><zb:mrow><zb:mn>1</zb:mn></zb:mrow></zb:msub><zb:mtext>−</zb:mtext><zb:mover accent="true"><zb:mrow><zb:mn mathvariant="bold">3</zb:mn></zb:mrow><zb:mrow><zb:mo stretchy="false">¯</zb:mo></zb:mrow></zb:mover><zb:mo stretchy="false">]</zb:mo></zb:mrow></zb:math> diquark provides dominant contribution for <gc:math xmlns:gc="http://www.w3.org/1998/Math/MathML" display="inline"><gc:msub><gc:mi mathvariant="normal">Ξ</gc:mi><gc:mrow><gc:mi>c</gc:mi><gc:mi>c</gc:mi></gc:mrow></gc:msub></gc:math> (<jc:math xmlns:jc="http://www.w3.org/1998/Math/MathML" display="inline"><jc:msub><jc:mi>T</jc:mi><jc:mrow><jc:mi>c</jc:mi><jc:mi>c</jc:mi></jc:mrow></jc:msub></jc:math>) production, and a considerable number of <lc:math xmlns:lc="http://www.w3.org/1998/Math/MathML" display="inline"><lc:msub><lc:mi mathvariant="normal">Ξ</lc:mi><lc:mrow><lc:mi>c</lc:mi><lc:mi>c</lc:mi></lc:mrow></lc:msub></lc:math> (<oc:math xmlns:oc="http://www.w3.org/1998/Math/MathML" display="inline"><oc:msub><oc:mi>T</oc:mi><oc:mrow><oc:mi>c</oc:mi><oc:mi>c</oc:mi></oc:mrow></oc:msub></oc:math>) can be produced. Because the event topologies for ultraperipheral collision are very clear, the background from various QCD interactions can be suppressed, hence the experimental investigation for <qc:math xmlns:qc="http://www.w3.org/1998/Math/MathML" display="inline"><qc:msub><qc:mi mathvariant="normal">Ξ</qc:mi><qc:mrow><qc:mi>c</qc:mi><qc:mi>c</qc:mi></qc:mrow></qc:msub></qc:math> and <tc:math xmlns:tc="http://www.w3.org/1998/Math/MathML" display="inline"><tc:msub><tc:mi>T</tc:mi><tc:mrow><tc:mi>c</tc:mi><tc:mi>c</tc:mi></tc:mrow></tc:msub></tc:math> is feasible. The productions for <vc:math xmlns:vc="http://www.w3.org/1998/Math/MathML" display="inline"><vc:msub><vc:mi mathvariant="normal">Ξ</vc:mi><vc:mrow><vc:mi>b</vc:mi><vc:mi>c</vc:mi><vc:mo>/</vc:mo><vc:mi>b</vc:mi><vc:mi>b</vc:mi></vc:mrow></vc:msub></vc:math> are also discussed, leaving only a slight possibility for <yc:math xmlns:yc="http://www.w3.org/1998/Math/MathML" display="inline"><yc:msub><yc:mi mathvariant="normal">Ξ</yc:mi><yc:mrow><yc:mi>b</yc:mi><yc:mi>c</yc:mi></yc:mrow></yc:msub></yc:math> through photon-gluon fusion with ultraperipheral collisions at the FCC. Published by the American Physical Society 2024