Strong decays of Pcs(4338) and its high isospin cousin via QCD sum rules

In the present work, the strong decays of the newly observed <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>P</a:mi><a:mrow><a:mi>c</a:mi><a:mi>s</a:mi></a:mrow></a:msub><a:mo stretchy="false">(</a:mo><a:mn>4338</a:mn><a:mo stretchy="false">)</a:mo></a:math> as well as its high isospin cousin <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>P</e:mi><e:mrow><e:mi>c</e:mi><e:mi>s</e:mi></e:mrow></e:msub><e:mo stretchy="false">(</e:mo><e:mn>4460</e:mn><e:mo stretchy="false">)</e:mo></e:math> are studied via the QCD sum rules. According to conservation of isospin, spin, and parity, the hadronic coupling constants in four decay channels are obtained; then, the partial decay widths are obtained. The total width of the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>P</i:mi><i:mrow><i:mi>c</i:mi><i:mi>s</i:mi></i:mrow></i:msub><i:mo stretchy="false">(</i:mo><i:mn>4338</i:mn><i:mo stretchy="false">)</i:mo></i:math> coincides with the experimental data nicely, while the predictions for the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi>P</m:mi><m:mrow><m:mi>c</m:mi><m:mi>s</m:mi></m:mrow></m:msub><m:mo stretchy="false">(</m:mo><m:mn>4460</m:mn><m:mo stretchy="false">)</m:mo></m:math> can be testified in the future experiment and shed light on the nature of the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msub><q:mi>P</q:mi><q:mrow><q:mi>c</q:mi><q:mi>s</q:mi></q:mrow></q:msub><q:mo stretchy="false">(</q:mo><q:mn>4338</q:mn><q:mo stretchy="false">)</q:mo></q:math>.