Production of pentaquarks with hidden charm and double strangeness in Ξb and Ωb</mml…

Recently, several pentaquark states <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:mi>s</a:mi></a:mrow></a:msub></a:math>, with global flavor <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mover accent="true"><c:mi>c</c:mi><c:mo stretchy="false">¯</c:mo></c:mover><c:mi>c</c:mi><c:mi>s</c:mi><c:mi>s</c:mi><c:mi>n</c:mi></c:math>, have been predicted within a theoretical framework based on unitary coupled channels. We study theoretically the feasibility to observe the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>P</g:mi><g:mrow><g:mi>c</g:mi><g:mi>s</g:mi><g:mi>s</g:mi></g:mrow></g:msub></g:math> with <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>I</i:mi><i:mo stretchy="false">(</i:mo><i:msup><i:mi>J</i:mi><i:mi>P</i:mi></i:msup><i:mo stretchy="false">)</i:mo><i:mo>=</i:mo><i:mfrac><i:mn>1</i:mn><i:mn>2</i:mn></i:mfrac><i:mo stretchy="false">(</i:mo><i:msup><i:mfrac><i:mn>1</i:mn><i:mn>2</i:mn></i:mfrac><i:mo>−</i:mo></i:msup><i:mo stretchy="false">)</i:mo></i:math> in the decays <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msubsup><o:mi mathvariant="normal">Ξ</o:mi><o:mi>b</o:mi><o:mn>0</o:mn></o:msubsup><o:mo stretchy="false">→</o:mo><o:mi>η</o:mi><o:msub><o:mi>η</o:mi><o:mi>c</o:mi></o:msub><o:msup><o:mi mathvariant="normal">Ξ</o:mi><o:mn>0</o:mn></o:msup></o:math> and <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msubsup><t:mi mathvariant="normal">Ω</t:mi><t:mi>b</t:mi><t:mo>−</t:mo></t:msubsup><t:mo stretchy="false">→</t:mo><t:msup><t:mi>K</t:mi><t:mo>−</t:mo></t:msup><t:msub><t:mi>η</t:mi><t:mi>c</t:mi></t:msub><t:msup><t:mi mathvariant="normal">Ξ</t:mi><t:mn>0</t:mn></t:msup></t:math>. Indeed, within the model, the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>η</y:mi><y:mi>c</y:mi></y:msub><y:msup><y:mi mathvariant="normal">Ξ</y:mi><y:mn>0</y:mn></y:msup></y:math> channel is the lowest mass pseudoscalar-baryon channel to which this pentaquark state couples, thus we can expect to observe its signal in the <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:msub><bb:mi>η</bb:mi><bb:mi>c</bb:mi></bb:msub><bb:msup><bb:mi mathvariant="normal">Ξ</bb:mi><bb:mn>0</bb:mn></bb:msup></bb:math> invariant mass distribution of the mentioned decays. We identify the dominant weak decay processes and then implement the hadronization into the different meson-baryon channels in the final state, linked by flavor symmetry. The dominant meson-baryon final state interaction is then implemented to generate the full amplitude, implicitly accounting for the dynamical emergence of the pentaquark states. We obtain a clear Breit-Wigner-like resonant signal in the spectrum of the <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:msubsup><eb:mi mathvariant="normal">Ω</eb:mi><eb:mi>b</eb:mi><eb:mo>−</eb:mo></eb:msubsup></eb:math> decay, exceeding that in the <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msubsup><hb:mi mathvariant="normal">Ξ</hb:mi><hb:mi>b</hb:mi><hb:mn>0</hb:mn></hb:msubsup></hb:math> decay by two to three orders of magnitude. In the case of the latter decay, the resonant state would manifest as a significant dip in the spectrum. We study the feasibility of searching for these <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"><kb:mi>b</kb:mi></kb:math>-hadron decay modes and analyzing their resonant components using the current and future data samples from the LHCb experiment.