Molecular pentaquarks composed of a ground-state octet baryon and a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>P</mml:mi> </mml:math> -wave anticharmed meson

In this work, we investigate the interactions between an excited anticharm meson doublet <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mo stretchy="false">(</a:mo> <a:msub> <a:mover accent="true"> <a:mi>D</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mn>1</a:mn> </a:msub> <a:mo>,</a:mo> <a:msubsup> <a:mover accent="true"> <a:mi>D</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mn>2</a:mn> <a:mo>*</a:mo> </a:msubsup> <a:mo stretchy="false">)</a:mo> </a:math> and ground-state octet baryons <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mo stretchy="false">(</i:mo> <i:mi>N</i:mi> <i:mo>,</i:mo> <i:mi mathvariant="normal">Λ</i:mi> <i:mo>,</i:mo> <i:mi mathvariant="normal">Σ</i:mi> <i:mo>,</i:mo> <i:mi mathvariant="normal">Ξ</i:mi> <i:mo stretchy="false">)</i:mo> </i:math> with the aim of identifying possible molecular pentaquark states. A systematic analysis is performed within the one-boson-exchange model, which incorporates both <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mi>S</p:mi> </p:math> - and <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mi>P</r:mi> </r:math> -wave interactions, <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:mrow> <t:mi>S</t:mi> <t:mtext>−</t:mtext> <t:mi>D</t:mi> </t:mrow> </t:math> -wave mixing, and coupled-channel effects. By solving the Schrödinger equations, we can predict a rich spectrum of loosely bound anticharm molecular pentaquarks with strangeness <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:mo stretchy="false">|</v:mo> <v:mi>S</v:mi> <v:mo stretchy="false">|</v:mo> <v:mo>=</v:mo> <v:mn>0</v:mn> </v:math> , 1, 2. Our results provide specific quantum number assignments and mass range predictions to guide future experimental searches at facilities such as LHCb and Belle II. The discovery of such states would significantly enrich the hadron spectrum and serve as a critical test of theoretical models for hadronic interactions.