Production mechanism of hidden-charm pentaquark states <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mi>c</mml:mi><mml:mo stretchy="fals

We investigate the hidden-charm pentaquark states with strangeness <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:msub><c:mi>P</c:mi><c:mrow><c:mi>c</c:mi><c:mover accent="true"><c:mi>c</c:mi><c:mo stretchy="false">¯</c:mo></c:mover><c:mi>s</c:mi></c:mrow></c:msub></c:math>) within an off shell coupled-channel approach based on effective Lagrangians that respect heavy-quark spin symmetry, SU(3) flavor symmetry, and hidden local symmetry. All relevant meson-baryon two-body channels composed of low-lying anticharmed mesons and singly charmed baryons with <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>, as well as the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>J</i:mi><i:mo>/</i:mo><i:mi>ψ</i:mi><i:mi mathvariant="normal">Λ</i:mi></i:math> channel, are included. We find a total of 11 negative-parity states and three positive-parity states. Among the negative-parity states, the <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:msub><l:mi>P</l:mi><l:mrow><l:mi>c</l:mi><l:mover accent="true"><l:mi>c</l:mi><l:mo stretchy="false">¯</l:mo></l:mover><l:mi>s</l:mi></l:mrow></l:msub><l:mo stretchy="false">(</l:mo><l:mn>4338</l:mn><l:mo stretchy="false">)</l:mo></l:math> and <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msub><r:mi>P</r:mi><r:mrow><r:mi>c</r:mi><r:mover accent="true"><r:mi>c</r:mi><r:mo stretchy="false">¯</r:mo></r:mover><r:mi>s</r:mi></r:mrow></r:msub><r:mo stretchy="false">(</r:mo><r:mn>4459</r:mn><r:mo stretchy="false">)</r:mo></r:math> can possibly be interpreted as <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:mover accent="true"><x:mi>D</x:mi><x:mo stretchy="false">¯</x:mo></x:mover><x:msub><x:mi mathvariant="normal">Ξ</x:mi><x:mi>c</x:mi></x:msub></x:math> and <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msup><cb:mover accent="true"><cb:mi>D</cb:mi><cb:mo stretchy="false">¯</cb:mo></cb:mover><cb:mo>*</cb:mo></cb:msup><cb:msub><cb:mi mathvariant="normal">Ξ</cb:mi><cb:mi>c</cb:mi></cb:msub></cb:math> molecular states, respectively. We identify a second state, <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msub><hb:mi>P</hb:mi><hb:mrow><hb:mi>c</hb:mi><hb:mover accent="true"><hb:mi>c</hb:mi><hb:mo stretchy="false">¯</hb:mo></hb:mover><hb:mi>s</hb:mi></hb:mrow></hb:msub><hb:mo stretchy="false">(</hb:mo><hb:mn>4472</hb:mn><hb:mo stretchy="false">)</hb:mo></hb:math>, located close to the <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"><nb:msub><nb:mi>P</nb:mi><nb:mrow><nb:mi>c</nb:mi><nb:mover accent="true"><nb:mi>c</nb:mi><nb:mo stretchy="false">¯</nb:mo></nb:mover><nb:mi>s</nb:mi></nb:mrow></nb:msub><nb:mo stretchy="false">(</nb:mo><nb:mn>4459</nb:mn><nb:mo stretchy="false">)</nb:mo></nb:math> but with different spin and width, which may correspond to the structure observed by the Belle Collaboration. Both states are generated from the <tb:math xmlns:tb="http://www.w3.org/1998/Math/MathML" display="inline"><tb:msup><tb:mover accent="true"><tb:mi>D</tb:mi><tb:mo stretchy="false">¯</tb:mo></tb:mover><tb:mo>*</tb:mo></tb:msup><tb:msub><tb:mi mathvariant="normal">Ξ</tb:mi><tb:mi>c</tb:mi></tb:msub></tb:math> channel and can be interpreted as spin partners. Their properties are consistent with recent experimental observations, providing strong support for the molecular interpretation of the <yb:math xmlns:yb="http://www.w3.org/1998/Math/MathML" display="inline"><yb:msub><yb:mi>P</yb:mi><yb:mrow><yb:mi>c</yb:mi><yb:mover accent="true"><yb:mi>c</yb:mi><yb:mo stretchy="false">¯</yb:mo></yb:mover><yb:mi>s</yb:mi></yb:mrow></yb:msub></yb:math> states. We also observe a two-pole structure near the <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"><cc:msubsup><cc:mover accent="true"><cc:mi>D</cc:mi><cc:mo stretchy="false">¯</cc:mo></cc:mover><cc:mi>s</cc:mi><cc:mo>*</cc:mo></cc:msubsup><cc:msub><cc:mi mathvariant="normal">Λ</cc:mi><cc:mi>c</cc:mi></cc:msub></cc:math> and <hc:math xmlns:hc="http://www.w3.org/1998/Math/MathML" display="inline"><hc:mover accent="true"><hc:mi>D</hc:mi><hc:mo stretchy="false">¯</hc:mo></hc:mover><hc:msubsup><hc:mi mathvariant="normal">Ξ</hc:mi><hc:mi>c</hc:mi><hc:mo>′</hc:mo></hc:msubsup></hc:math> thresholds, and find virtual and resonance states in the <mc:math xmlns:mc="http://www.w3.org/1998/Math/MathML" display="inline"><mc:msup><mc:mover accent="true"><mc:mi>D</mc:mi><mc:mo stretchy="false">¯</mc:mo></mc:mover><mc:mo>*</mc:mo></mc:msup><mc:msubsup><mc:mi mathvariant="normal">Ξ</mc:mi><mc:mi>c</mc:mi><mc:mo>′</mc:mo></mc:msubsup></mc:math> channel depending on spin-parity.