Mass spectra of strange double charm pentaquarks with strangeness S=−1

The observation of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>T</a:mi><a:mrow><a:mi>c</a:mi><a:mover accent="true"><a:mi>s</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:mrow></a:msub><a:mo stretchy="false">(</a:mo><a:mn>2900</a:mn><a:mo stretchy="false">)</a:mo></a:math> indicates the potential existence of strange double charm pentaquarks based on the heavy antidiquark symmetry. We systematically study the mass spectra of strange double charm pentaquarks with strangeness <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> in both molecular and compact structures for quantum numbers <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msup><i:mi>J</i:mi><i:mi>P</i:mi></i:msup><i:mo>=</i:mo><i:mn>1</i:mn><i:mo>/</i:mo><i:msup><i:mn>2</i:mn><i:mo>−</i:mo></i:msup></i:math>, <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mn>3</k:mn><k:mo>/</k:mo><k:msup><k:mn>2</k:mn><k:mo>−</k:mo></k:msup></k:math>, <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mn>5</m:mn><m:mo>/</m:mo><m:msup><m:mn>2</m:mn><m:mo>−</m:mo></m:msup></m:math>. By constructing the interpolating currents, the mass spectra can be extracted from the two-point correlation functions in the framework of QCD sum rule method. In the molecular picture, we find that the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mrow><o:msubsup><o:mrow><o:mi mathvariant="normal">Ξ</o:mi></o:mrow><o:mrow><o:mi>c</o:mi></o:mrow><o:mrow><o:mo>′</o:mo><o:mo>+</o:mo></o:mrow></o:msubsup><o:msup><o:mrow><o:mi>D</o:mi></o:mrow><o:mrow><o:mo>*</o:mo><o:mo>+</o:mo></o:mrow></o:msup></o:mrow></o:math>, <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:mrow><r:msubsup><r:mrow><r:mi mathvariant="normal">Ξ</r:mi></r:mrow><r:mrow><r:mi>c</r:mi></r:mrow><r:mrow><r:mo>*</r:mo><r:mo>+</r:mo></r:mrow></r:msubsup><r:msup><r:mrow><r:mi>D</r:mi></r:mrow><r:mrow><r:mo>*</r:mo><r:mo>+</r:mo></r:mrow></r:msup></r:mrow></r:math>, <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:mrow><u:msubsup><u:mrow><u:mi mathvariant="normal">Ξ</u:mi></u:mrow><u:mrow><u:mi>c</u:mi><u:mi>c</u:mi></u:mrow><u:mrow><u:mo>*</u:mo><u:mo>+</u:mo><u:mo>+</u:mo></u:mrow></u:msubsup><u:msup><u:mrow><u:mover accent="true"><u:mrow><u:mi>K</u:mi></u:mrow><u:mrow><u:mo stretchy="false">¯</u:mo></u:mrow></u:mover></u:mrow><u:mrow><u:mo>*</u:mo><u:mn>0</u:mn></u:mrow></u:msup></u:mrow></u:math>, and <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:msubsup><z:mi mathvariant="normal">Ω</z:mi><z:mrow><z:mi>c</z:mi><z:mi>c</z:mi></z:mrow><z:mrow><z:mo>*</z:mo><z:mo>+</z:mo></z:mrow></z:msubsup><z:msup><z:mi>ρ</z:mi><z:mo>+</z:mo></z:msup></z:math> may form molecular strange double charm pentaquarks. In both pictures, the masses of the <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msup><cb:mi>J</cb:mi><cb:mi>P</cb:mi></cb:msup><cb:mo>=</cb:mo><cb:mn>1</cb:mn><cb:mo>/</cb:mo><cb:msup><cb:mn>2</cb:mn><cb:mo>−</cb:mo></cb:msup><cb:mo>,</cb:mo><cb:mn>3</cb:mn><cb:mo>/</cb:mo><cb:msup><cb:mn>2</cb:mn><cb:mo>−</cb:mo></cb:msup></cb:math> pentaquarks locate within the 4.2–4.6 GeV and 4.2–4.5 GeV regions, respectively. As all of them are above the thresholds of their strong decay channels, they behave as a broad state, making them challenging to be detected experimentally. On the other hand, the strange double charm pentaquark with <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:msup><eb:mi>J</eb:mi><eb:mi>P</eb:mi></eb:msup><eb:mo>=</eb:mo><eb:mn>5</eb:mn><eb:mo>/</eb:mo><eb:msup><eb:mn>2</eb:mn><eb:mo>−</eb:mo></eb:msup></eb:math> lies below its strong decay channel, which may be a very narrow state and easy to identify experimentally. The best observed channel is its semileptonic decay to double charm baryon. As the result, we strongly suggest experiments to search for <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:msup><gb:mi>J</gb:mi><gb:mi>P</gb:mi></gb:msup><gb:mo>=</gb:mo><gb:mn>5</gb:mn><gb:mo>/</gb:mo><gb:msup><gb:mn>2</gb:mn><gb:mo>−</gb:mo></gb:msup></gb:math> strange double charm pentaquarks first.