Search for doubly charmed dibaryons in baryon-baryon scattering

We perform a systematical investigation of the doubly charmed dibaryon system with quantum numbers <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>I</a:mi><a:mi>J</a:mi><a:mo>=</a:mo><a:mn>01</a:mn></a:math> and strangeness numbers <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>S</c:mi><c:mo>=</c:mo><c:mn>0</c:mn></c:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mo>−</e:mo><e:mn>2</e:mn></e:math>, and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mo>−</g:mo><g:mn>4</g:mn></g:math> in the framework of the chiral quark model. Two resonance states with strangeness numbers <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>S</i:mi><i:mo>=</i:mo><i:mo>−</i:mo><i:mn>2</i:mn></i:math> are obtained in the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi mathvariant="normal">Λ</k:mi><k:msub><k:mi mathvariant="normal">Ω</k:mi><k:mrow><k:mi>c</k:mi><k:mi>c</k:mi></k:mrow></k:msub></k:math> scattering channel: the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msubsup><o:mi mathvariant="normal">Ξ</o:mi><o:mrow><o:mi>c</o:mi><o:mi>c</o:mi></o:mrow><o:mo>*</o:mo></o:msubsup><o:mi mathvariant="normal">Ξ</o:mi></o:math> state with resonance mass 5081 MeV and decay width 0.3 MeV, and the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:msubsup><s:mi mathvariant="normal">Ξ</s:mi><s:mi>c</s:mi><s:mo>*</s:mo></s:msubsup><s:msubsup><s:mi mathvariant="normal">Ξ</s:mi><s:mi>c</s:mi><s:mo>′</s:mo></s:msubsup></s:math> state with mass 5213 MeV and decay width 19.8 MeV. These two predicted charmed dibaryon candidates are worth searching for experimentally. Besides this, we would like to emphasize that the multichannel coupling calculation is important for confirming the existence of multiquark states. The coupling can shift the energy of the resonance, give width to the resonance, and even destroy the resonance. Therefore, to provide the necessary information for experiments to search for exotic hadron states, the coupling calculation between the bound channels and open channels is indispensable.