In this work, we investigate the double-heavy molecular pentaquark states with the quark contents <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>c</a:mi><a:mi>c</a:mi><a:mi>s</a:mi><a:mi>s</a:mi><a:mover accent="true"><a:mi>s</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>b</e:mi><e:mi>b</e:mi><e:mi>s</e:mi><e:mi>s</e:mi><e:mover accent="true"><e:mi>s</e:mi><e:mo stretchy="false">¯</e:mo></e:mover></e:math>, and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>b</i:mi><i:mi>c</i:mi><i:mi>s</i:mi><i:mi>s</i:mi><i:mover accent="true"><i:mi>s</i:mi><i:mo stretchy="false">¯</i:mo></i:mover></i:math> by using the coupled channel approach. The extended local hidden gauge Lagrangians are used to obtain the meson-baryon interactions by exchanging the vector mesons. We predict some candidates for the molecular states with the quantum numbers <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>I</m:mi><m:mo stretchy="false">(</m:mo><m:msup><m:mi>J</m:mi><m:mi>P</m:mi></m:msup><m:mo stretchy="false">)</m:mo><m:mo>=</m:mo><m:mn>0</m:mn><m:mo stretchy="false">(</m:mo><m:mn>1</m:mn><m:mo>/</m:mo><m:msup><m:mn>2</m:mn><m:mo>−</m:mo></m:msup><m:mo>,</m:mo><m:mn>3</m:mn><m:mo>/</m:mo><m:msup><m:mn>2</m:mn><m:mo>−</m:mo></m:msup><m:mo>,</m:mo><m:mn>5</m:mn><m:mo>/</m:mo><m:msup><m:mn>2</m:mn><m:mo>−</m:mo></m:msup><m:mo stretchy="false">)</m:mo></m:math>, whose binding energies are of the order of 20–30 MeV and whose widths are all less than 8 MeV. These predicted exotic double-heavy molecular pentaquark states may be accessible in future experiments such as LHCb. Published by the American Physical Society 2024
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