Probing the nature of the anticharmed-strange pentaquark states: Mass spectra, decays, and magnetic moments

Within the framework of the quark delocalization color screening model, a systematic investigation of the anticharmed-strange pentaquark system is performed using the resonance group method. The currently estimations predict three bound states with estimated masses to be 2886 MeV, 3039 MeV, and 3153 MeV, respectively. Additionally, three resonance states are identified in various scattering phase shifts processes. Among them, two resonance states <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="normal">Σ</a:mi><a:mover accent="true"><a:mi>D</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:msup><f:mi mathvariant="normal">Σ</f:mi><f:mo>*</f:mo></f:msup><f:msup><f:mover accent="true"><f:mi>D</f:mi><f:mo stretchy="false">¯</f:mo></f:mover><f:mo>*</f:mo></f:msup></f:math> with quantum number <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mrow><k:mfrac><k:mrow><k:mn>1</k:mn></k:mrow><k:mrow><k:mn>2</k:mn></k:mrow></k:mfrac><k:mo stretchy="false">(</k:mo><k:msup><k:mrow><k:mfrac><k:mrow><k:mn>1</k:mn></k:mrow><k:mrow><k:mn>2</k:mn></k:mrow></k:mfrac></k:mrow><k:mrow><k:mo>−</k:mo></k:mrow></k:msup><k:mo stretchy="false">)</k:mo></k:mrow></k:math> are detected in channels <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>N</o:mi><o:msubsup><o:mover accent="true"><o:mi>D</o:mi><o:mo stretchy="false">¯</o:mo></o:mover><o:mi>s</o:mi><o:mo>*</o:mo></o:msubsup></o:math> and <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:mi>N</s:mi><s:mover accent="true"><s:mi>D</s:mi><s:mo stretchy="false">¯</s:mo></s:mover></s:math>, and <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi mathvariant="normal">Σ</w:mi><w:msup><w:mover accent="true"><w:mi>D</w:mi><w:mo stretchy="false">¯</w:mo></w:mover><w:mo>*</w:mo></w:msup></w:math> and <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:mi mathvariant="normal">Λ</bb:mi><bb:mover accent="true"><bb:mi>D</bb:mi><bb:mo stretchy="false">¯</bb:mo></bb:mover></bb:math>, with masses and decay widths of (<gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:mrow><gb:msub><gb:mrow><gb:mi>M</gb:mi></gb:mrow><gb:mrow><gb:mi>R</gb:mi></gb:mrow></gb:msub><gb:mo>=</gb:mo><gb:mn>3053</gb:mn><gb:mi>–</gb:mi><gb:mn>3055</gb:mn><gb:mtext> </gb:mtext><gb:mtext> </gb:mtext><gb:mi>MeV</gb:mi></gb:mrow></gb:math>, <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:mrow><ib:msub><ib:mrow><ib:mi>T</ib:mi></ib:mrow><ib:mrow><ib:mtext>total</ib:mtext></ib:mrow></ib:msub><ib:mo>=</ib:mo><ib:mn>13.0</ib:mn><ib:mi>–</ib:mi><ib:mn>13.4</ib:mn><ib:mtext> </ib:mtext><ib:mtext> </ib:mtext><ib:mi>MeV</ib:mi></ib:mrow></ib:math>) and (<kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"><kb:mrow><kb:msub><kb:mrow><kb:mi>M</kb:mi></kb:mrow><kb:mrow><kb:mi>R</kb:mi></kb:mrow></kb:msub><kb:mo>=</kb:mo><kb:mn>3389</kb:mn><kb:mi>–</kb:mi><kb:mn>3390</kb:mn><kb:mtext> </kb:mtext><kb:mtext> </kb:mtext><kb:mi>MeV</kb:mi></kb:mrow></kb:math>, <mb:math xmlns:mb="http://www.w3.org/1998/Math/MathML" display="inline"><mb:mrow><mb:msub><mb:mrow><mb:mi>T</mb:mi></mb:mrow><mb:mrow><mb:mtext>total</mb:mtext></mb:mrow></mb:msub><mb:mo>=</mb:mo><mb:mn>10.4</mb:mn><mb:mtext> </mb:mtext><mb:mtext> </mb:mtext><mb:mi>MeV</mb:mi></mb:mrow></mb:math>), respectively. In the <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:mi mathvariant="normal">Λ</ob:mi><ob:msup><ob:mover accent="true"><ob:mi>D</ob:mi><ob:mo stretchy="false">¯</ob:mo></ob:mover><ob:mo>*</ob:mo></ob:msup></ob:math> and <tb:math xmlns:tb="http://www.w3.org/1998/Math/MathML" display="inline"><tb:mi mathvariant="normal">Σ</tb:mi><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:math> channels, a resonance state with quantum number <yb:math xmlns:yb="http://www.w3.org/1998/Math/MathML" display="inline"><yb:mfrac><yb:mn>1</yb:mn><yb:mn>2</yb:mn></yb:mfrac><yb:mo stretchy="false">(</yb:mo><yb:msup><yb:mfrac><yb:mn>3</yb:mn><yb:mn>2</yb:mn></yb:mfrac><yb:mo>−</yb:mo></yb:msup><yb:mo stretchy="false">)</yb:mo></yb:math> is discovered, with its mass and decay width being 3250–3252 MeV and 4.4,MeV, respectively. These predicted pentaquark states have <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"><cc:mover accent="true"><cc:mi>c</cc:mi><cc:mo stretchy="false">¯</cc:mo></cc:mover><cc:mi>s</cc:mi><cc:mi>n</cc:mi><cc:mi>n</cc:mi><cc:mi>n</cc:mi></cc:math> quark compositions, allowing them to be recognized as genuine pentaquark states. To validate these predictions, it is expected that upcoming experiments will further explore the predicted resonance and bound states in these possible decay channels. Published by the American Physical Society 2024