Search for singly charmed dibaryons in baryon-baryon scattering

We perform a systematical investigation of the singly charmed dibaryon system with strangeness numbers <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>S</a:mi><a:mo>=</a:mo><a:mo>−</a:mo><a:mn>1</a:mn></a:math>, <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mo>−</c:mo><c:mn>3</c:mn></c:math>, and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mo>−</e:mo><e:mn>5</e:mn></e:math> in the framework of the chiral quark model. Two resonance states with strangeness numbers <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>S</g:mi><g:mo>=</g:mo><g:mo>−</g:mo><g:mn>1</g:mn></g:math> are obtained in the baryon-baryon scattering process. In the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi mathvariant="normal">Λ</i:mi><i:msub><i:mi mathvariant="normal">Λ</i:mi><i:mi>c</i:mi></i:msub></i:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>N</m:mi><m:msubsup><m:mi mathvariant="normal">Ξ</m:mi><m:mi>c</m:mi><m:mo>*</m:mo></m:msubsup></m:math> scattering phase shifts, the <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi mathvariant="normal">Σ</p:mi><p:msub><p:mi mathvariant="normal">Σ</p:mi><p:mi>c</p:mi></p:msub></p:math> appears as a resonance state with the mass and width 3591–3614 MeV and 11.75 MeV, respectively. In the <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mi>N</t:mi><t:msub><t:mi mathvariant="normal">Ξ</t:mi><t:mi>c</t:mi></t:msub></t:math> and <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi>N</w:mi><w:msubsup><w:mi mathvariant="normal">Ξ</w:mi><w:mi>c</w:mi><w:mo>′</w:mo></w:msubsup></w:math> scattering phase shifts, the <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:mi mathvariant="normal">Σ</z:mi><z:msubsup><z:mi mathvariant="normal">Σ</z:mi><z:mi>c</z:mi><z:mo>*</z:mo></z:msubsup></z:math> exhibits as a resonance state with the mass and width 3621–3624 MeV and 14.9 MeV, respectively. All these heavy-flavor dibaryons are worth searching for in experiments. Besides, we would like to emphasize that the coupling calculation between the bound channels and open channels is indispensable. The study of the scattering process maybe an effective way to look for the genuine resonances. Published by the American Physical Society 2024