Heavy scalar molecule <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>B</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:msubsup><mml:mi>B</mml:mi><mml:mi>c</mml:mi><mml:mo>−</mml:mo></mml:

Mass and full width of the heavy scalar molecule <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="script">M</a:mi></a:math> composed of the mesons <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msubsup><d:mi>B</d:mi><d:mi>c</d:mi><d:mo>+</d:mo></d:msubsup></d:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:msubsup><f:mi>B</f:mi><f:mi>c</f:mi><f:mo>−</f:mo></f:msubsup></f:math> are calculated in the QCD sum rule framework. To find its mass and current coupling, we apply the two-point sum rule method. The width of the hadronic molecule <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi mathvariant="script">M</h:mi><h:mo>=</h:mo><h:msubsup><h:mi>B</h:mi><h:mi>c</h:mi><h:mo>+</h:mo></h:msubsup><h:msubsup><h:mi>B</h:mi><h:mi>c</h:mi><h:mo>−</h:mo></h:msubsup></h:math> is evaluated by taking into account its dissociation to <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi>η</k:mi><k:mi>c</k:mi></k:msub><k:msub><k:mi>η</k:mi><k:mi>b</k:mi></k:msub><k:mo>,</k:mo><k:mi>J</k:mi><k:mo>/</k:mo><k:mi>ψ</k:mi><k:mi mathvariant="normal">ϒ</k:mi></k:math>, and <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msubsup><n:mi>B</n:mi><n:mi>c</n:mi><n:mo>+</n:mo></n:msubsup><n:msubsup><n:mi>B</n:mi><n:mi>c</n:mi><n:mo>−</n:mo></n:msubsup></n:math> mesons. Decays into <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi>D</p:mi></p:math> and <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:mi>B</r:mi></r:math> meson pairs with appropriate charges and quantum numbers triggered by <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mover accent="true"><t:mi>b</t:mi><t:mo stretchy="false">¯</t:mo></t:mover><t:mi>b</t:mi></t:math> and <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:mover accent="true"><x:mi>c</x:mi><x:mo stretchy="false">¯</x:mo></x:mover><x:mi>c</x:mi></x:math> annihilations to light quark-antiquarks are also included in the analyses. Because the partial widths of <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:mi mathvariant="script">M</bb:mi></bb:math> molecule’s decay channels depend on the strong couplings at <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:mi mathvariant="script">M</eb:mi></eb:math>-meson-meson vertices, we estimate them by invoking tools of the three-point sum rule method. Our predictions <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:mrow><hb:mi>m</hb:mi><hb:mo>=</hb:mo><hb:mo stretchy="false">(</hb:mo><hb:mn>12725</hb:mn><hb:mo>±</hb:mo><hb:mn>85</hb:mn><hb:mo stretchy="false">)</hb:mo><hb:mtext> </hb:mtext><hb:mtext> </hb:mtext><hb:mi>MeV</hb:mi></hb:mrow></hb:math> and <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:mrow><lb:mi mathvariant="normal">Γ</lb:mi><lb:mo stretchy="false">[</lb:mo><lb:mi mathvariant="script">M</lb:mi><lb:mo stretchy="false">]</lb:mo><lb:mo>=</lb:mo><lb:mo stretchy="false">(</lb:mo><lb:mn>155</lb:mn><lb:mo>±</lb:mo><lb:mn>23</lb:mn><lb:mo stretchy="false">)</lb:mo><lb:mtext> </lb:mtext><lb:mtext> </lb:mtext><lb:mi>MeV</lb:mi></lb:mrow></lb:math> for the parameters of the molecule <tb:math xmlns:tb="http://www.w3.org/1998/Math/MathML" display="inline"><tb:mrow><tb:mi mathvariant="script">M</tb:mi></tb:mrow></tb:math> provide useful information for experimental studies of numerous heavy resonances.