Pc states in the mixture of molecular and pentaquark pictures

We systematically study hidden charm pentaquark states in the constituent quark model with a general Hamiltonian for multiquark systems, considering the coupling between the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msubsup><a:mi mathvariant="normal">Σ</a:mi><a:mi>c</a:mi><a:mrow><a:mo stretchy="false">(</a:mo><a:mo>*</a:mo><a:mo stretchy="false">)</a:mo></a:mrow></a:msubsup><a:msup><a:mover accent="true"><a:mi>D</a:mi><a:mo stretchy="false">¯</a:mo></a:mover><a:mrow><a:mo stretchy="false">(</a:mo><a:mo>*</a:mo><a:mo stretchy="false">)</a:mo></a:mrow></a:msup></a:math> molecular states and the <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msup><j:mi>q</j:mi><j:mn>3</j:mn></j:msup><j:mi>c</j:mi><j:mover accent="true"><j:mi>c</j:mi><j:mo stretchy="false">¯</j:mo></j:mover></j:math> compact pentaquark states by the one-gluon exchange hyperfine interaction. The ground state hidden-charm pentaquark mass spectra and the strong decay widths are calculated. This work suggests that <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msub><n:mi>P</n:mi><n:mi>c</n:mi></n:msub><n:mo stretchy="false">(</n:mo><n:mn>4312</n:mn><n:mo stretchy="false">)</n:mo></n:math>, <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msub><r:mi>P</r:mi><r:mi>c</r:mi></r:msub><r:mo stretchy="false">(</r:mo><r:mn>4457</r:mn><r:mo stretchy="false">)</r:mo></r:math>, and <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:msub><v:mi>P</v:mi><v:mi>c</v:mi></v:msub><v:mo stretchy="false">(</v:mo><v:mn>4380</v:mn><v:mo stretchy="false">)</v:mo></v:math> resonances might be mainly <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:msub><z:mi mathvariant="normal">Σ</z:mi><z:mi>c</z:mi></z:msub><z:mover accent="true"><z:mi>D</z:mi><z:mo stretchy="false">¯</z:mo></z:mover></z:math>, <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:msub><eb:mi mathvariant="normal">Σ</eb:mi><eb:mi>c</eb:mi></eb:msub><eb:msup><eb:mover accent="true"><eb:mi>D</eb:mi><eb:mo stretchy="false">¯</eb:mo></eb:mover><eb:mo>*</eb:mo></eb:msup></eb:math>, and <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:msubsup><jb:mi mathvariant="normal">Σ</jb:mi><jb:mi>c</jb:mi><jb:mo>*</jb:mo></jb:msubsup><jb:mover accent="true"><jb:mi>D</jb:mi><jb:mo stretchy="false">¯</jb:mo></jb:mover></jb:math> hadronic molecules respectively, and <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:msub><ob:mi>P</ob:mi><ob:mi>c</ob:mi></ob:msub><ob:mo stretchy="false">(</ob:mo><ob:mn>4440</ob:mn><ob:mo stretchy="false">)</ob:mo></ob:math> might include sizable pentaquark components. Published by the American Physical Society 2024