Exploring the mass spectrum and electromagnetic property of the ΞccK(*) and <mml:…

Using the one-boson-exchange model, we investigate the interactions between the doubly charmed baryon <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="normal">Ξ</a:mi><a:mrow><a:mi>c</a:mi><a:mi>c</a:mi></a:mrow></a:msub><a:mo stretchy="false">(</a:mo><a:mn>3621</a:mn><a:mo stretchy="false">)</a:mo></a:math> and the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mrow><f:mi>S</f:mi></f:mrow></f:math> wave (anti-)kaon accounting for the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi>S</h:mi><h:mo>−</h:mo><h:mi>D</h:mi></h:math> wave mixing and coupled-channel effects. We find the coupled <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msub><j:mi mathvariant="normal">Ξ</j:mi><j:mrow><j:mi>c</j:mi><j:mi>c</j:mi></j:mrow></j:msub><j:mi>K</j:mi><j:mo>/</j:mo><j:msub><j:mi mathvariant="normal">Ξ</j:mi><j:mrow><j:mi>c</j:mi><j:mi>c</j:mi></j:mrow></j:msub><j:msup><j:mi>K</j:mi><j:mo>*</j:mo></j:msup></j:math> state with <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:mi>I</n:mi><n:mo stretchy="false">(</n:mo><n:msup><n:mi>J</n:mi><n:mi>P</n:mi></n:msup><n:mo stretchy="false">)</n:mo><n:mo>=</n:mo><n:mn>0</n:mn><n:mo stretchy="false">(</n:mo><n:mn>1</n:mn><n:mo>/</n:mo><n:msup><n:mn>2</n:mn><n:mo>−</n:mo></n:msup><n:mo stretchy="false">)</n:mo></n:math>, the <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msub><t:mi mathvariant="normal">Ξ</t:mi><t:mrow><t:mi>c</t:mi><t:mi>c</t:mi></t:mrow></t:msub><t:msup><t:mi>K</t:mi><t:mo>*</t:mo></t:msup></t:math> state with <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mn>0</w:mn><w:mo stretchy="false">(</w:mo><w:mn>1</w:mn><w:mo>/</w:mo><w:msup><w:mn>2</w:mn><w:mo>−</w:mo></w:msup><w:mo stretchy="false">)</w:mo></w:math>, the <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:msub><ab:mi mathvariant="normal">Ξ</ab:mi><ab:mrow><ab:mi>c</ab:mi><ab:mi>c</ab:mi></ab:mrow></ab:msub><ab:mover accent="true"><ab:mi>K</ab:mi><ab:mo stretchy="false">¯</ab:mo></ab:mover></ab:math> state with <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:mn>0</fb:mn><fb:mo stretchy="false">(</fb:mo><fb:mn>1</fb:mn><fb:mo>/</fb:mo><fb:msup><fb:mn>2</fb:mn><fb:mo>−</fb:mo></fb:msup><fb:mo stretchy="false">)</fb:mo></fb:math>, and the <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:msub><jb:mi mathvariant="normal">Ξ</jb:mi><jb:mrow><jb:mi>c</jb:mi><jb:mi>c</jb:mi></jb:mrow></jb:msub><jb:msup><jb:mover accent="true"><jb:mi>K</jb:mi><jb:mo stretchy="false">¯</jb:mo></jb:mover><jb:mo>*</jb:mo></jb:msup></jb:math> states with <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:mn>0</ob:mn><ob:mo stretchy="false">(</ob:mo><ob:mn>1</ob:mn><ob:mo>/</ob:mo><ob:msup><ob:mn>2</ob:mn><ob:mo>−</ob:mo></ob:msup><ob:mo>,</ob:mo><ob:mn>3</ob:mn><ob:mo>/</ob:mo><ob:msup><ob:mn>2</ob:mn><ob:mo>−</ob:mo></ob:msup><ob:mo stretchy="false">)</ob:mo></ob:math> can be recommended as good doubly charmed molecular candidates with strangeness <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"><sb:mo stretchy="false">|</sb:mo><sb:mi>S</sb:mi><sb:mo stretchy="false">|</sb:mo><sb:mo>=</sb:mo><sb:mn>1</sb:mn></sb:math>. We further examine their M1 radiative decay behaviors and magnetic moments within the constituent quark model framework. This information can enhance our understanding of their inner structures, including the distribution of electric charge and the orientation of the constituent quarks’ spins.