Prediction of Pcc states in a quark model

Inspired by the observation of hidden-charm pentaquark <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>P</a:mi><a:mi>c</a:mi></a:msub></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>P</c:mi><c:mrow><c:mi>c</c:mi><c:mi>s</c:mi></c:mrow></c:msub></c:math> states by the LHCb Collaboration, we explore the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mrow><e:mi>q</e:mi><e:mi>q</e:mi><e:mi>c</e:mi><e:mover accent="true"><e:mrow><e:mi>c</e:mi></e:mrow><e:mrow><e:mo stretchy="false">¯</e:mo></e:mrow></e:mover><e:mi>c</e:mi></e:mrow></e:math> (<i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>q</i:mi><i:mo>=</i:mo><i:mi>u</i:mi></i:math> or <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>d</k:mi></k:math>) pentaquark systems in the quark delocalization color screening model. The interaction between baryons and mesons and the influence of channel coupling are studied in this work. Three compact <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>q</m:mi><m:mi>q</m:mi><m:mi>c</m:mi><m:mover accent="true"><m:mi>c</m:mi><m:mo stretchy="false">¯</m:mo></m:mover><m:mi>c</m:mi></m:math> pentaquark states are obtained, whose masses are 5259 MeV with <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mrow><q:mi>I</q:mi><q:mo stretchy="false">(</q:mo><q:msup><q:mrow><q:mi>J</q:mi></q:mrow><q:mrow><q:mi>P</q:mi></q:mrow></q:msup><q:mo stretchy="false">)</q:mo><q:mo>=</q:mo><q:mn>0</q:mn><q:mo stretchy="false">(</q:mo><q:mn>1</q:mn><q:mo>/</q:mo><q:msup><q:mrow><q:mn>2</q:mn></q:mrow><q:mrow><q:mo>−</q:mo></q:mrow></q:msup><q:mo stretchy="false">)</q:mo></q:mrow></q:math>, 5396 MeV with <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mrow><w:mi>I</w:mi><w:mo stretchy="false">(</w:mo><w:msup><w:mrow><w:mi>J</w:mi></w:mrow><w:mrow><w:mi>P</w:mi></w:mrow></w:msup><w:mo stretchy="false">)</w:mo><w:mo>=</w:mo><w:mn>1</w:mn><w:mo stretchy="false">(</w:mo><w:mn>1</w:mn><w:mo>/</w:mo><w:msup><w:mrow><w:mn>2</w:mn></w:mrow><w:mrow><w:mo>−</w:mo></w:mrow></w:msup><w:mo stretchy="false">)</w:mo></w:mrow></w:math>, and 5465 MeV with <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:mi>I</cb:mi><cb:mo stretchy="false">(</cb:mo><cb:msup><cb:mi>J</cb:mi><cb:mi>P</cb:mi></cb:msup><cb:mo stretchy="false">)</cb:mo><cb:mo>=</cb:mo><cb:mn>1</cb:mn><cb:mo stretchy="false">(</cb:mo><cb:mn>3</cb:mn><cb:mo>/</cb:mo><cb:msup><cb:mn>2</cb:mn><cb:mo>−</cb:mo></cb:msup><cb:mo stretchy="false">)</cb:mo></cb:math>. Two molecular states are obtained, which are <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:mrow><ib:mi>I</ib:mi><ib:mo stretchy="false">(</ib:mo><ib:msup><ib:mrow><ib:mi>J</ib:mi></ib:mrow><ib:mrow><ib:mi>P</ib:mi></ib:mrow></ib:msup><ib:mo stretchy="false">)</ib:mo><ib:mo>=</ib:mo><ib:mn>0</ib:mn><ib:mo stretchy="false">(</ib:mo><ib:mn>1</ib:mn><ib:mo>/</ib:mo><ib:msup><ib:mrow><ib:mn>2</ib:mn></ib:mrow><ib:mrow><ib:mo>−</ib:mo></ib:mrow></ib:msup><ib:mo stretchy="false">)</ib:mo><ib:msub><ib:mrow><ib:mi mathvariant="normal">Λ</ib:mi></ib:mrow><ib:mrow><ib:mi>c</ib:mi></ib:mrow></ib:msub><ib:mi>J</ib:mi><ib:mo>/</ib:mo><ib:mi>ψ</ib:mi></ib:mrow></ib:math> with 5367 MeV and <pb:math xmlns:pb="http://www.w3.org/1998/Math/MathML" display="inline"><pb:mrow><pb:mi>I</pb:mi><pb:mo stretchy="false">(</pb:mo><pb:msup><pb:mrow><pb:mi>J</pb:mi></pb:mrow><pb:mrow><pb:mi>P</pb:mi></pb:mrow></pb:msup><pb:mo stretchy="false">)</pb:mo><pb:mo>=</pb:mo><pb:mn>0</pb:mn><pb:mo stretchy="false">(</pb:mo><pb:mn>5</pb:mn><pb:mo>/</pb:mo><pb:msup><pb:mrow><pb:mn>2</pb:mn></pb:mrow><pb:mrow><pb:mo>−</pb:mo></pb:mrow></pb:msup><pb:mo stretchy="false">)</pb:mo><pb:mtext> </pb:mtext><pb:mtext> </pb:mtext><pb:msubsup><pb:mrow><pb:mi mathvariant="normal">Ξ</pb:mi></pb:mrow><pb:mrow><pb:mi>c</pb:mi><pb:mi>c</pb:mi></pb:mrow><pb:mrow><pb:mo>*</pb:mo></pb:mrow></pb:msubsup><pb:msup><pb:mrow><pb:mover accent="true"><pb:mrow><pb:mi>D</pb:mi></pb:mrow><pb:mrow><pb:mo stretchy="false">¯</pb:mo></pb:mrow></pb:mover></pb:mrow><pb:mrow><pb:mo>*</pb:mo></pb:mrow></pb:msup></pb:mrow></pb:math> with 5690 MeV. These predicted states may provide important information for future experimental search.