Mass and decay width of Tccs from symmetries

We analyze the mass and width of the doubly heavy tetraquark <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:mi>s</a:mi></a:mrow></a:msub></a:math> composed of a heavy diquark and a light-quark cloud with strangeness with assuming that a color antitriplet heavy diquark is a dominant component of the doubly charmed tetraquarks <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>T</c:mi><c:mrow><c:mi>c</c:mi><c:mi>c</c:mi></c:mrow></c:msub></c:math> and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>T</e:mi><e:mrow><e:mi>c</e:mi><e:mi>c</e:mi><e:mi>s</e:mi></e:mrow></e:msub></e:math>. We construct an effective Lagrangian for masses of heavy hadrons based on the superflavor symmetry between the doubly heavy tetraquarks and the singly heavy baryons by including the terms that simultaneously break the heavy-quark and light-flavor symmetries, and predict the mass of <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:mi>s</g:mi></g:mrow></g:msub></g:math> as <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>M</i:mi><i:mo stretchy="false">(</i:mo><i:msub><i:mi>T</i:mi><i:mrow><i:mi>c</i:mi><i:mi>c</i:mi><i:mi>s</i:mi></i:mrow></i:msub><i:mo stretchy="false">)</i:mo><i:mo>=</i:mo><i:mn>4047</i:mn><i:mo>±</i:mo><i:mn>11</i:mn><i:mtext> </i:mtext><i:mtext> </i:mtext><i:mi>MeV</i:mi></i:math>. The comparison of this prediction with future experimental observation will give a clue to understand the color structure of the heavy diquark. We also predict the mass of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi mathvariant="normal">Ω</m:mi><m:mrow><m:mi>c</m:mi><m:mi>c</m:mi></m:mrow></m:msub></m:math> as <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi>M</p:mi><p:mo stretchy="false">(</p:mo><p:msub><p:mi mathvariant="normal">Ω</p:mi><p:mrow><p:mi>c</p:mi><p:mi>c</p:mi></p:mrow></p:msub><p:mo stretchy="false">)</p:mo><p:mo>=</p:mo><p:mn>370</p:mn><p:msubsup><p:mn>6</p:mn><p:mrow><p:mo>−</p:mo><p:mn>15</p:mn></p:mrow><p:mrow><p:mo>+</p:mo><p:mn>14</p:mn></p:mrow></p:msubsup><p:mtext> </p:mtext><p:mtext> </p:mtext><p:mi>MeV</p:mi></p:math>. We next calculate the decay width of <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msub><u:mi>T</u:mi><u:mrow><u:mi>c</u:mi><u:mi>c</u:mi><u:mi>s</u:mi></u:mrow></u:msub></u:math>, based solely on the light-flavor symmetry, as <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi mathvariant="normal">Γ</w:mi><w:mo stretchy="false">(</w:mo><w:msub><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:msub><w:mo stretchy="false">)</w:mo><w:mo>=</w:mo><w:mn>42</w:mn><w:mo>±</w:mo><w:mn>24</w:mn><w:mtext> </w:mtext><w:mtext> </w:mtext><w:mi>MeV</w:mi></w:math>.